# zbMATH — the first resource for mathematics

## Bickel, Peter John

Compute Distance To:
 Author ID: bickel.peter-john Published as: Bickel, Peter J.; Bickel, P. J.; Bickel, Peter; Bickel, P.; Bickel, Peter John Homepage: http://www.stat.berkeley.edu/~bickel/ External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef
 Documents Indexed: 189 Publications since 1964, including 11 Books Biographic References: 2 Publications
all top 5

#### Co-Authors

 32 single-authored 24 Ritov, Ya’acov 13 van Zwet, Willem Rutger 12 Yahav, Joseph A. 9 Levina, Elizaveta 7 Doksum, Kjell A. 7 Lehmann, Erich Leo 6 Chen, Aiyou 5 Götze, Friedrich W. 4 Huang, Haiyan 4 Rosenblatt, Murray 4 Sakov, Anat 3 Bahadur, Raghu Raj 3 Brown, James B. 3 Bühlmann, Peter 3 Chibisov, Dmitriĭ Mikhaĭlovich 3 Freedman, David A. 3 Hodges, Joseph L. jun. 3 Klaassen, Chris A. J. 3 Kwon, Jaimyoung 3 Rice, John A. 3 Rydén, Tobias 3 Sarkar, Purnamrita 3 Stoker, Thomas M. 3 Wang, Ying Xiang Rachel 3 Wellner, Jon August 3 Zhu, Ji 2 Albers, Willem 2 Bhattacharyya, Sharmodeep 2 Boley, Nathan 2 Eisen, Michael B. 2 El Karoui, Noureddine 2 Herzberg, Agnes Margaret 2 Kechris, Katherina J. 2 Kleijn, Bas J. K. 2 Krieger, Abba M. 2 Li, Bo 2 Li, Qunhua 2 Nair, Vijayan N. 2 Olshen, Richard Allen 2 Ren, Jian-Jian 2 Rothman, Adam J. 2 van Zwet, Erik W. 1 Aït-Sahalia, Yacine 1 Amini, Arash Ali 1 Andrews, David F. 1 Aswani, Anil 1 Atherton, Juli 1 Bai, Chongen 1 Bean, Derek 1 Bengtsson, Thomas 1 Berk, Richard A. 1 Berk, Robert H. 1 Bhattacharjee, Manish C. 1 Biggin, Mark D. 1 Blackwell, David Harold 1 Breiman, Leo 1 Brillinger, David R. 1 Brown, Ben 1 Buyske, Steven G. 1 Cai, Mu 1 Campbell, Katherine 1 Chang, Huahua 1 Chang, Xiangyu 1 Chen, Chao 1 Chernoff, Herman 1 Choi, David S. 1 Collins, John R. 1 Cosman, Pamela C. 1 Davidson, Stuart M. 1 Diaconis, Persi Warren 1 El Karoui, Nicole 1 Fan, Jianquin 1 Feldman, Lewis J. 1 Ferguson, Thomas S. 1 Fovell, Robert 1 Gamst, Anthony C. 1 Ge, Zhiyu 1 Gel, Yulia R. 1 Ghosh, Jayanta Kumar 1 Glazer, Alexander N. 1 Goodman, Leo A. 1 Hampel, Frank R. 1 Huber, Peter Jost 1 Ibragimov, Il’dar Abdullovich 1 Jewell, Nicholas P. 1 Jiang, Keni 1 Keller-McNulty, Sallie 1 Kelly, Elizabeth 1 Kim, Namhyun 1 Kundaje, Anshul 1 Kur, Gil 1 Le Cam, Lucien Marie 1 Lei, Jing 1 Lei, Lihua 1 Lim, Chinghway 1 Lindner, Marko 1 Linn, Rodman 1 Linton, Oliver Bruce 1 Lo, Albert Y. 1 Lockhart, Richard A. ...and 50 more Co-Authors
all top 5

#### Serials

 47 The Annals of Statistics 16 Annals of Mathematical Statistics 9 The Annals of Applied Statistics 8 Statistica Sinica 6 Journal of the American Statistical Association 5 Proceedings of the National Academy of Sciences of the United States of America 4 Statistical Science 3 International Statistical Review 3 Journal of Statistical Planning and Inference 3 Sankhyā. Series A. Methods and Techniques 3 Bernoulli 2 Scandinavian Journal of Statistics 2 The Annals of Probability 2 Probability and Mathematical Statistics 2 Test 2 Journal of the Royal Statistical Society. Series B. Statistical Methodology 2 Chapman & Hall/CRC Texts in Statistical Science Series 1 Acta Mathematica Academiae Scientiarum Hungaricae 1 Israel Journal of Mathematics 1 Psychometrika 1 Russian Mathematical Surveys 1 Teoriya Veroyatnosteĭ i eë Primeneniya 1 Theory of Probability and its Applications 1 Journal of Econometrics 1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 1 Advances in Applied Mathematics 1 Statistics & Probability Letters 1 Probability Theory and Related Fields 1 Journal of Theoretical Probability 1 IEEE Transactions on Signal Processing 1 Notices of the American Mathematical Society 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Computational Statistics and Data Analysis 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Extremes 1 Probability in the Engineering and Informational Sciences 1 Mathematical Geology 1 Journal of Machine Learning Research (JMLR) 1 Statistical Applications in Genetics and Molecular Biology 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 1 Johns Hopkins Series in the Mathematical Sciences 1 Lecture Notes in Mathematics 1 Electronic Journal of Statistics 1 Sankhyā. Series A
all top 5

#### Fields

 160 Statistics (62-XX) 33 Probability theory and stochastic processes (60-XX) 13 Numerical analysis (65-XX) 8 Biology and other natural sciences (92-XX) 6 History and biography (01-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 General and overarching topics; collections (00-XX) 2 Combinatorics (05-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Approximations and expansions (41-XX) 2 Geophysics (86-XX) 2 Operations research, mathematical programming (90-XX) 1 Real functions (26-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Astronomy and astrophysics (85-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

153 Publications have been cited 6,023 times in 4,908 Documents Cited by Year
Simultaneous analysis of Lasso and Dantzig selector. Zbl 1173.62022
Bickel, Peter J.; Ritov, Ya’acov; Tsybakov, Alexandre B.
2009
Some asymptotic theory for the bootstrap. Zbl 0449.62034
Bickel, Peter J.; Freedman, David
1981
Efficient and adaptive estimation for semiparametric models. Zbl 0786.62001
Bickel, Peter J.; Klaassen, Chris A. J.; Ritov, Ya’acov; Wellner, Jon A.
1993
On some global measures of the deviations of density function estimates. Zbl 0275.62033
Bickel, P. J.; Rosenblatt, M.
1973
Regularized estimation of large covariance matrices. Zbl 1132.62040
Bickel, Peter J.; Levina, Elizaveta
2008
Covariance regularization by thresholding. Zbl 1196.62062
Bickel, Peter J.; Levina, Elizaveta
2008
Mathematical statistics. Basic ideas and selected topics. Zbl 0403.62001
Bickel, Peter J.; Doksum, Kjell A.
1977
Convergence criteria for multiparameter stochastic processes and some applications. Zbl 0265.60011
Bickel, P. J.; Wichura, M. J.
1971
Robust estimates of location. Survey and advances. Zbl 0254.62001
Andrews, D. F.; Bickel, P. J.; Hampel, F. R.; Huber, P. J.; Rogers, W. H.; Tukey, J. W.
1972
On adaptive estimation. Zbl 0489.62033
Bickel, P. J.
1982
Sparse permutation invariant covariance estimation. Zbl 1320.62135
Rothman, Adam J.; Bickel, Peter J.; Levina, Elizaveta; Zhu, Ji
2008
Some theory for Fisher’s linear discriminant function, ‘naive Bayes’, and some alternatives when there are many more variables than observations. Zbl 1064.62073
Bickel, Peter J.; Levina, Elizaveta
2004
A nonparametric view of network models and Newman-Girvan and other modularities. Zbl 1359.62411
Bickel, Peter J.; Chen, Aiyou
2009
Efficient and adaptive estimation for semiparametric models. Zbl 0894.62005
Bickel, Peter J.; Klaassen, Chris A. J.; Ritov, Ya’acov; Wellner, Jon A.
1998
An analysis of transformations revisited. Zbl 0464.62058
Bickel, Peter J.; Doksum, Kjell A.
1981
Resampling fewer than $$n$$ observations: gains, losses, and remedies for losses. Zbl 0927.62043
Bickel, P. J.; Götze, F.; van Zwet, W. R.
1997
One-step Huber estimates in the linear model. Zbl 0322.62038
Bickel, P. J.
1975
Descriptive statistics for non-parametric models. III: Dispersion. Zbl 0351.62031
Bickel, P. J.; Lehmann, E. L.
1976
Asymptotic normality of the maximum-likelihood estimator for general hidden Markov models. Zbl 0932.62097
Bickel, Peter J.; Ritov, Ya’acov; Rydén, Tobias
1998
Estimating integrated squared density derivatives: Sharp best order of convergence estimates. Zbl 0676.62037
Bickel, P. J.; Ritov, Y.
1988
Descriptive statistics for nonparametric models IV. Spread. Zbl 0415.62015
Bickel, P. J.; Lehmann, E. L.
1979
Asymptotically optimal Bayes and minimax procedures in sequential estimation. Zbl 0187.16303
Bickel, P. J.; Yahav, J. A.
1968
A decomposition for the likelihood ratio statistic and the Bartlett correction - a Bayesian argument. Zbl 0727.62035
Bickel, Peter J.; Ghosh, J. K.
1990
Descriptive statistics for nonparametric models. II: Location. Zbl 0321.62055
Bickel, P. J.; Lehmann, E. L.
1975
Pseudo-likelihood methods for community detection in large sparse networks. Zbl 1277.62166
Amini, Arash A.; Chen, Aiyou; Bickel, Peter J.; Levina, Elizaveta
2013
Minimax estimation of the mean of a normal distribution when the parameter space is restricted. Zbl 0484.62013
Bickel, P. J.
1981
The Edgeworth expansion for U-statistics of degree two. Zbl 0614.62015
Bickel, P. J.; Götze, F.; van Zwet, W. R.
1986
Goodness-of-fit tests for kernel regression with an application to option implied volatilities. Zbl 1004.62042
Aït-Sahalia, Yacine; Bickel, Peter J.; Stoker, Thomas M.
2001
Tests for monotone failure rate based on normalized spacings. Zbl 0191.50504
Bickel, P. J.; Doksum, K. A.
1969
Curse-of-dimensionality revisited: collapse of the particle filter in very large scale systems. Zbl 1166.93376
Bengtsson, Thomas; Bickel, Peter; Li, Bo
2008
Edgeworth expansions in nonparametric statistics. Zbl 0284.62018
Bickel, P. J.
1974
On some robust estimates of location. Zbl 0192.25802
Bickel, P. J.
1965
Asymptotic expansions for the power of distribution free tests in the one-sample problem. Zbl 0321.62049
Albers, Willem; Bickel, P. J.; van Zwet, W. R.
1976
Sums of functions of nearest neighbor distances, moment bounds, limit theorems and a goodness of fit test. Zbl 0502.62045
Bickel, Peter J.; Breiman, Leo
1983
Using residuals robustly I: Tests for heteroscedasticity, nonlinearity. Zbl 0385.62029
Bickel, P. J.
1978
Asymptotic normality of maximum likelihood and its variational approximation for stochastic blockmodels. Zbl 1292.62042
Bickel, Peter; Choi, David; Chang, Xiangyu; Zhang, Hai
2013
The method of moments and degree distributions for network models. Zbl 1232.91577
Bickel, Peter J.; Chen, Aiyou; Levina, Elizaveta
2011
A distribution free version of the Smirnov two sample test in the p- variate case. Zbl 0179.48704
Bickel, P. J.
1969
On the choice of $$m$$ in the $$m$$ out of $$n$$ bootstrap and confidence bounds for extrema. Zbl 05361940
Bickel, Peter J.; Sakov, Anat
2008
The semiparametric Bernstein-von Mises theorem. Zbl 1246.62081
Bickel, P. J.; Kleijn, B. J. K.
2012
Some contributions to the asymptotic theory of Bayes solutions. Zbl 0167.17706
Bickel, P. J.; Yahav, J. A.
1969
Nonparametric estimators which can be “plugged-in”. Zbl 1058.62031
Bickel, Peter J.; Ritov, Ya’acov
2003
Inference for semiparametric models: Some questions and an answer. (With comments). Zbl 0997.62028
Bickel, Peter J.; Kwon, Jaimyoung
2001
Asymptotic normality and the bootstrap in stratified sampling. Zbl 0542.62009
Bickel, P. J.; Freedman, D. A.
1984
Achieving information bounds in non and semiparametric models. Zbl 0722.62025
Ritov, Y.; Bickel, P. J.
1990
Descriptive statistics for nonparametric models. I: Introduction. Zbl 0321.62054
Bickel, P. J.; Lehmann, E. L.
1975
Asymptotic expansions for the power of distributionfree tests in the two- sample problem. Zbl 0378.62047
Bickel, P. J.; van Zwet, W. R.
1978
Tailor-made tests for goodness of fit to semiparametric hypotheses. Zbl 1092.62050
Bickel, Peter J.; Ritov, Ya’acov; Stoker, Thomas M.
2006
Inference in hidden Markov models. I: Local asymptotic normality in the stationary case. Zbl 1066.62535
Bickel, Peter J.; Ritov, Ya’acov
1996
Efficient estimation in the errors in variables model. Zbl 0643.62029
Bickel, P. J.; Ritov, Y.
1987
Mathematical statistics. Basic ideas and selected topics. Volume I. 2nd ed. Zbl 1380.62002
Bickel, Peter J.; Doksum, Kjell A.
2015
A new mixing notion and functional central limit theorems for a sieve bootstrap in time series. Zbl 0954.62102
Bickel, Peter J.; Bühlmann, Peter
1999
Asymptotically pointwise optimal procedures in sequential analysis. Zbl 0214.45105
Bickel, P. J.; Yahav, J. A.
1967
On robust regression with high-dimensional predictors. Zbl 1359.62184
El Karoui, Noureddine; Bean, Derek; Bickel, Peter J.; Lim, Chinghway; Yu, Bin
2013
Robustness of design against autocorrelation in time I: Asymptotic theory, optimality for location and linear regression. Zbl 0403.62051
Bickel, P. J.; Herzberg, Agnes M.
1979
Some contributions to the theory of order statistics. Zbl 0214.46602
Bickel, P. J.
1967
On some analogues to linear combinations of order statistics in the linear model. Zbl 0265.62021
Bickel, P. J.
1973
Regularization in statistics. Zbl 1110.62051
Bickel, Peter J.; Li, Bo
2006
Efficient independent component analysis. Zbl 1114.62033
Chen, Aiyou; Bickel, Peter J.
2006
On some asymptotically nonparametric competitors of Hotelling’s $$T^ 2$$. Zbl 0138.13205
Bickel, P. J.
1965
Efficient estimation of linear functionals of a probability measure $$P$$ with known marginal distributions. Zbl 0742.62034
Bickel, Peter J.; Ritov, Ya’acov; Wellner, Jon A.
1991
On a semiparametric survival model with flexible covariate effect. Zbl 0953.62107
Nielsen, Jens P.; Linton, Oliver; Bickel, Peter J.
1998
Estimation in semiparametric models. Zbl 0795.62027
Bickel, P. J.
1993
Tests for monotone failure rate. II. Zbl 0191.50601
Bickel, P. J.
1969
Bootstrapping regression models with many parameters. Zbl 0529.62057
Bickel, P. J.; Freedman, D. A.
1983
On efficiency of first and second order. Zbl 0469.62038
Bickel, P. J.; Chibisov, D. M.; van Zwet, W. R.
1981
Parametric robustness: Small biases can be worthwhile. Zbl 0545.62028
Bickel, P. J.
1984
Texture synthesis and nonparametric resampling of random fields. Zbl 1246.62194
Levina, Elizaveta; Bickel, Peter J.
2006
Some problems on the estimation of unimodal densities. Zbl 0840.62038
Bickel, Peter J.; Fan, Jianquin
1996
Hypothesis testing for automated community detection in networks. Zbl 1411.62162
Bickel, Peter J.; Sarkar, Purnamrita
2016
Robust regression based on infinitesimal neighbourhoods. Zbl 0567.62051
Bickel, P. J.
1984
Consistent independent component analysis and prewhitening. Zbl 1373.62292
Chen, Aiyou; Bickel, Peter J.
2005
Role of normalization in spectral clustering for stochastic blockmodels. Zbl 1320.62150
Sarkar, Purnamrita; Bickel, Peter J.
2015
On some alternative estimates for shift in the P-variate on sample problem. Zbl 0214.45804
Bickel, P. J.
1964
Robustness of design against autocorrelation in time. II: Optimality, theoretical and numerical results for the first-order autoregressive process. Zbl 0505.62063
Bickel, P. J.; Herzberg, Agnes M.; Schilling, M. F.
1981
Renewal theory in the plane. Zbl 0138.40702
Bickel, P. J.; Yahav, J. A.
1965
Regression on manifolds: estimation of the exterior derivative. Zbl 1209.62063
Aswani, Anil; Bickel, Peter; Tomlin, Claire
2011
Another look at robustness: A review of reviews and some new developments. Zbl 0343.62039
Bickel, Peter J.
1976
The bootstrap in hypothesis testing. Zbl 1380.62183
Bickel, Peter J.; Ren, Jian-Jian
2001
An Edgeworth expansion for the $$m$$ out of $$n$$ bootstrapped median. Zbl 0969.62014
Sakov, Anat; Bickel, Peter J.
2000
Likelihood-based model selection for stochastic block models. Zbl 1371.62017
Wang, Y. X. Rachel; Bickel, Peter J.
2017
Two-dimensional random fields. Zbl 0297.60020
Bickel, P.; Rosenblatt, M.
1973
Unbiased estimation in convex families. Zbl 0197.44602
Bickel, P. J.; Lehmann, E. L.
1969
Banded regularization of autocovariance matrices in application to parameter estimation and forecasting of time series. Zbl 1228.62106
Bickel, Peter J.; Gel, Yulia R.
2011
Minimax estimation of the mean of a normal distribution subject to doing well at a point. Zbl 0545.62029
Bickel, P. J.
1983
Confidence bands for a distribution function using the bootstrap. Zbl 0695.62126
Bickel, P. J.; Krieger, A. M.
1989
Variable selection in nonparametric regression with categorical covariates. Zbl 0763.62019
Bickel, Peter; Zhang, Ping
1992
On an A.P.O. rule in sequential estimation with quadratic loss. Zbl 0175.17004
Bickel, Peter J.; Yahav, Joseph A.
1969
Some theory for generalized boosting algorithms. Zbl 1222.68148
Bickel, Peter J.; Ritov, Ya’acov; Zakai, Alon
2006
Richardson extrapolation and the bootstrap. Zbl 0664.62014
Bickel, Peter J.; Yahav, Joseph A.
1988
Quelques aspects de la statistique robuste. Zbl 0484.62053
Bickel, P. J.
1981
Subsampling bootstrap of count features of networks. Zbl 1326.62067
Bhattacharyya, Sharmodeep; Bickel, Peter J.
2015
Approximating the inverse of banded matrices by banded matrices with applications to probability and statistics. Zbl 1241.60017
Bickel, Peter John; Lindner, Marko
2012
Nonparametric inference under biased sampling from a finite population. Zbl 0767.62032
Bickel, Peter J.; Nair, Vijayan N.; Wang, Paul C. C.
1992
Inference and auditing: The Stringer bound. Zbl 0755.62039
Bickel, Peter J.
1992
Uniform convergence of probability measures on classes of functions. Zbl 0821.60002
Bickel, P. J.; Millar, P. W.
1992
The $$m$$ out of $$n$$ bootstrap and goodness of fit tests with double censored data. Zbl 0839.62054
Bickel, Peter J.; Ren, Jian-Jian
1996
Empirical Bayes estimation in functional and structural models, and uniformly adaptive estimation of location. Zbl 0609.62044
Bickel, P. J.; Klaassen, C. A. J.
1986
Inferring gene-gene interactions and functional modules using sparse canonical correlation analysis. Zbl 1454.62416
Wang, Y. X. Rachel; Jiang, Keni; Feldman, Lewis J.; Bickel, Peter J.; Huang, Haiyan
2015
Local asymptotic normality of ranks and covariates in transformation models. Zbl 0897.62017
Bickel, P. J.; Ritov, Y.
1997
Network modelling of topological domains using Hi-C data. Zbl 1433.62318
Wang, Y. X. Rachel; Sarkar, Purnamrita; Ursu, Oana; Kundaje, Anshul; Bickel, Peter J.
2019
Asymptotics for high dimensional regression $$M$$-estimates: fixed design results. Zbl 1406.62084
Lei, Lihua; Bickel, Peter J.; El Karoui, Noureddine
2018
Projection pursuit in high dimensions. Zbl 1416.62320
Bickel, Peter J.; Kur, Gil; Nadler, Boaz
2018
Likelihood-based model selection for stochastic block models. Zbl 1371.62017
Wang, Y. X. Rachel; Bickel, Peter J.
2017
Hypothesis testing for automated community detection in networks. Zbl 1411.62162
Bickel, Peter J.; Sarkar, Purnamrita
2016
Mathematical statistics. Basic ideas and selected topics. Volume II. 2nd edition. Zbl 1397.62003
Bickel, Peter J.; Doksum, Kjell A.
2016
Spectral clustering and block models: a review and a new algorithm. Zbl 1381.62152
Bhattacharyya, Sharmodeep; Bickel, Peter J.
2016
Mathematical statistics. Basic ideas and selected topics. Volume I. 2nd ed. Zbl 1380.62002
Bickel, Peter J.; Doksum, Kjell A.
2015
Role of normalization in spectral clustering for stochastic blockmodels. Zbl 1320.62150
Sarkar, Purnamrita; Bickel, Peter J.
2015
Subsampling bootstrap of count features of networks. Zbl 1326.62067
Bhattacharyya, Sharmodeep; Bickel, Peter J.
2015
Inferring gene-gene interactions and functional modules using sparse canonical correlation analysis. Zbl 1454.62416
Wang, Y. X. Rachel; Jiang, Keni; Feldman, Lewis J.; Bickel, Peter J.; Huang, Haiyan
2015
Correction to the proof of consistency of community detection. Zbl 1310.62109
Bickel, Peter J.; Chen, Aiyou; Zhao, Yunpeng; Levina, Elizaveta; Zhu, Ji
2015
The Bayesian analysis of complex, high-dimensional models: can it be CODA? Zbl 1331.62162
Ritov, Y.; Bickel, P. J.; Gamst, A. C.; Kleijn, B. J. K.
2014
Pseudo-likelihood methods for community detection in large sparse networks. Zbl 1277.62166
Amini, Arash A.; Chen, Aiyou; Bickel, Peter J.; Levina, Elizaveta
2013
Asymptotic normality of maximum likelihood and its variational approximation for stochastic blockmodels. Zbl 1292.62042
Bickel, Peter; Choi, David; Chang, Xiangyu; Zhang, Hai
2013
On robust regression with high-dimensional predictors. Zbl 1359.62184
El Karoui, Noureddine; Bean, Derek; Bickel, Peter J.; Lim, Chinghway; Yu, Bin
2013
On convergence of recursive Monte Carlo filters in non-compact state spaces. Zbl 1259.62086
Lei, Jing; Bickel, Peter
2013
The semiparametric Bernstein-von Mises theorem. Zbl 1246.62081
Bickel, P. J.; Kleijn, B. J. K.
2012
Approximating the inverse of banded matrices by banded matrices with applications to probability and statistics. Zbl 1241.60017
Bickel, Peter John; Lindner, Marko
2012
Resampling fewer than $$n$$ observations: gains, losses, and remedies for losses. Zbl 1373.62173
Bickel, P. J.; Götze, F.; van Zwet, W. R.
2012
A model for sequential evolution of ligands by exponential enrichment (SELEX) data. Zbl 1254.92025
Atherton, Juli; Boley, Nathan; Brown, Ben; Ogawa, Nobuo; Davidson, Stuart M.; Eisen, Michael B.; Biggin, Mark D.; Bickel, Peter
2012
The method of moments and degree distributions for network models. Zbl 1232.91577
Bickel, Peter J.; Chen, Aiyou; Levina, Elizaveta
2011
Regression on manifolds: estimation of the exterior derivative. Zbl 1209.62063
Aswani, Anil; Bickel, Peter; Tomlin, Claire
2011
Banded regularization of autocovariance matrices in application to parameter estimation and forecasting of time series. Zbl 1228.62106
Bickel, Peter J.; Gel, Yulia R.
2011
Measuring reproducibility of high-throughput experiments. Zbl 1231.62124
Li, Qunhua; Brown, James B.; Huang, Haiyan; Bickel, Peter J.
2011
Subsampling methods for genomic inference. Zbl 1220.62130
Bickel, Peter J.; Boley, Nathan; Brown, James B.; Huang, Haiyan; Zhang, Nancy R.
2010
Simultaneous analysis of Lasso and Dantzig selector. Zbl 1173.62022
Bickel, Peter J.; Ritov, Ya&rsquo;acov; Tsybakov, Alexandre B.
2009
A nonparametric view of network models and Newman-Girvan and other modularities. Zbl 1359.62411
Bickel, Peter J.; Chen, Aiyou
2009
An overview of recent developments in genomics and associated statistical methods. Zbl 1185.62184
Bickel, Peter J.; Brown, James B.; Huang, Haiyan; Li, Qunhua
2009
Efficient blind search: optimal power of detection under computational cost constraints. Zbl 1161.62087
Meinshausen, Nicolai; Bickel, Peter; Rice, John
2009
Discussion of: Brownian distance covariance. Zbl 1454.62171
Bickel, Peter J.; Xu, Ying
2009
Regularized estimation of large covariance matrices. Zbl 1132.62040
Bickel, Peter J.; Levina, Elizaveta
2008
Covariance regularization by thresholding. Zbl 1196.62062
Bickel, Peter J.; Levina, Elizaveta
2008
Sparse permutation invariant covariance estimation. Zbl 1320.62135
Rothman, Adam J.; Bickel, Peter J.; Levina, Elizaveta; Zhu, Ji
2008
Curse-of-dimensionality revisited: collapse of the particle filter in very large scale systems. Zbl 1166.93376
Bengtsson, Thomas; Bickel, Peter; Li, Bo
2008
On the choice of $$m$$ in the $$m$$ out of $$n$$ bootstrap and confidence bounds for extrema. Zbl 05361940
Bickel, Peter J.; Sakov, Anat
2008
Sparsity and the possibility of inference. Zbl 1192.62113
Bickel, Peter J.; Yan, Donghui
2008
Random matrix theory: A program of the statistics and applied mathematical sciences institute (SAMSI). Zbl 1154.15311
Bickel, Peter
2008
Tailor-made tests for goodness of fit to semiparametric hypotheses. Zbl 1092.62050
Bickel, Peter J.; Ritov, Ya&rsquo;acov; Stoker, Thomas M.
2006
Regularization in statistics. Zbl 1110.62051
Bickel, Peter J.; Li, Bo
2006
Efficient independent component analysis. Zbl 1114.62033
Chen, Aiyou; Bickel, Peter J.
2006
Texture synthesis and nonparametric resampling of random fields. Zbl 1246.62194
Levina, Elizaveta; Bickel, Peter J.
2006
Some theory for generalized boosting algorithms. Zbl 1222.68148
Bickel, Peter J.; Ritov, Ya&rsquo;acov; Zakai, Alon
2006
Consistent independent component analysis and prewhitening. Zbl 1373.62292
Chen, Aiyou; Bickel, Peter J.
2005
Nonparametric testing of an exclusion restriction. Zbl 1119.62039
Bickel, Peter J.; Ritov, Ya&rsquo;akov; Stoker, Thomas M.
2005
Some theory for Fisher’s linear discriminant function, ‘naive Bayes’, and some alternatives when there are many more variables than observations. Zbl 1064.62073
Bickel, Peter J.; Levina, Elizaveta
2004
An approximate likelihood approach to nonlinear mixed effects models via spline approximation. Zbl 1429.62278
Ge, Zhiyu; Bickel, Peter J.; Rice, John A.
2004
Nonparametric estimators which can be “plugged-in”. Zbl 1058.62031
Bickel, Peter J.; Ritov, Ya&rsquo;acov
2003
The limit distribution of a test statistic for bivariate normality. Zbl 1015.62062
Kim, Namhyun; Bickel, Peter J.
2003
Hidden Markov model likelihoods and their derivatives behave like i. i. d. ones. (La vraisemblance des chaînes de Markov cachées se comporte comme celle des variables i. i. d.). Zbl 1011.62087
Bickel, Peter J.; Ritov, Ya&rsquo;acov; Rydén, Tobias
2002
Workshop on statistical approaches for the evaluation of complex computer models. Zbl 1032.62102
Berk, Richard A.; Bickel, Peter; Campbell, Katherine; Fovell, Robert; Keller-McNulty, Sallie; Kelly, Elizabeth; Linn, Rodman; Park, Byungkyu; Perelson, Alan; Rouphail, Nagui; Sacks, Jerome; Schoenberg, Frederic
2002
Extrapolation and the bootstrap. Zbl 1192.62125
Bickel, Peter J.; Sakov, Anat
2002
Goodness-of-fit tests for kernel regression with an application to option implied volatilities. Zbl 1004.62042
Aït-Sahalia, Yacine; Bickel, Peter J.; Stoker, Thomas M.
2001
Inference for semiparametric models: Some questions and an answer. (With comments). Zbl 0997.62028
Bickel, Peter J.; Kwon, Jaimyoung
2001
The bootstrap in hypothesis testing. Zbl 1380.62183
Bickel, Peter J.; Ren, Jian-Jian
2001
On maximizing item information and matching difficulty with ability. Zbl 1293.62235
Bickel, Peter; Buyske, Steven; Chang, Huahua; Ying, Zhiliang
2001
An Edgeworth expansion for the $$m$$ out of $$n$$ bootstrapped median. Zbl 0969.62014
Sakov, Anat; Bickel, Peter J.
2000
Non- and semiparametric statistics: compared and contrasted. Zbl 0970.62017
Bickel, P. J.; Ritov, Y.
2000
A new mixing notion and functional central limit theorems for a sieve bootstrap in time series. Zbl 0954.62102
Bickel, Peter J.; Bühlmann, Peter
1999
Efficient and adaptive estimation for semiparametric models. Zbl 0894.62005
Bickel, Peter J.; Klaassen, Chris A. J.; Ritov, Ya&rsquo;acov; Wellner, Jon A.
1998
Asymptotic normality of the maximum-likelihood estimator for general hidden Markov models. Zbl 0932.62097
Bickel, Peter J.; Ritov, Ya&rsquo;acov; Rydén, Tobias
1998
On a semiparametric survival model with flexible covariate effect. Zbl 0953.62107
Nielsen, Jens P.; Linton, Oliver; Bickel, Peter J.
1998
Resampling fewer than $$n$$ observations: gains, losses, and remedies for losses. Zbl 0927.62043
Bickel, P. J.; Götze, F.; van Zwet, W. R.
1997
Local asymptotic normality of ranks and covariates in transformation models. Zbl 0897.62017
Bickel, P. J.; Ritov, Y.
1997
Closure of linear processes. Zbl 0890.60033
Bickel, Peter J.; Bühlmann, Peter
1997
Singly and doubly censored current status data: Estimation, asymptotics and regression. Zbl 0929.62110
Van der Laan, Mark J.; Bickel, Peter J.; Jewell, Nicholas P.
1997
Inference in hidden Markov models. I: Local asymptotic normality in the stationary case. Zbl 1066.62535
Bickel, Peter J.; Ritov, Ya&rsquo;acov
1996
Some problems on the estimation of unimodal densities. Zbl 0840.62038
Bickel, Peter J.; Fan, Jianquin
1996
The $$m$$ out of $$n$$ bootstrap and goodness of fit tests with double censored data. Zbl 0839.62054
Bickel, Peter J.; Ren, Jian-Jian
1996
What is a linear process? Zbl 0863.62074
Bickel, Peter J.; Bühlmann, Peter
1996
Efficient and adaptive estimation for semiparametric models. Zbl 0786.62001
Bickel, Peter J.; Klaassen, Chris A. J.; Ritov, Ya&rsquo;acov; Wellner, Jon A.
1993
Estimation in semiparametric models. Zbl 0795.62027
Bickel, P. J.
1993
Efficient estimation using both direct and indirect observations. Zbl 0816.62032
Bickel, P. J.; Ritov, Y.
1993
Variable selection in nonparametric regression with categorical covariates. Zbl 0763.62019
Bickel, Peter; Zhang, Ping
1992
Nonparametric inference under biased sampling from a finite population. Zbl 0767.62032
Bickel, Peter J.; Nair, Vijayan N.; Wang, Paul C. C.
1992
Inference and auditing: The Stringer bound. Zbl 0755.62039
Bickel, Peter J.
1992
Uniform convergence of probability measures on classes of functions. Zbl 0821.60002
Bickel, P. J.; Millar, P. W.
1992
Theoretical comparison of different bootstrap $$t$$ confidence bounds. Zbl 0838.62033
Bickel, P. J.
1992
Efficient estimation of linear functionals of a probability measure $$P$$ with known marginal distributions. Zbl 0742.62034
Bickel, Peter J.; Ritov, Ya&rsquo;acov; Wellner, Jon A.
1991
Large sample theory of estimation in biased sampling regression models. I. Zbl 0742.62036
Bickel, Peter J.; Ritov, J.
1991
A decomposition for the likelihood ratio statistic and the Bartlett correction - a Bayesian argument. Zbl 0727.62035
Bickel, Peter J.; Ghosh, J. K.
1990
Achieving information bounds in non and semiparametric models. Zbl 0722.62025
Ritov, Y.; Bickel, P. J.
1990
Hyperaccuracy of bootstrap based prediction. Zbl 0708.62038
Bai, Chongen; Bickel, Peter J.; Olshen, Richard A.
1990
Confidence bands for a distribution function using the bootstrap. Zbl 0695.62126
Bickel, P. J.; Krieger, A. M.
1989
Estimating integrated squared density derivatives: Sharp best order of convergence estimates. Zbl 0676.62037
Bickel, P. J.; Ritov, Y.
1988
Richardson extrapolation and the bootstrap. Zbl 0664.62014
Bickel, Peter J.; Yahav, Joseph A.
1988
Efficient estimation in the errors in variables model. Zbl 0643.62029
Bickel, P. J.; Ritov, Y.
1987
Efficient testing in a class of transformation models: An outline. Zbl 0729.62018
Bickel, P. J.
1987
The Edgeworth expansion for U-statistics of degree two. Zbl 0614.62015
Bickel, P. J.; Götze, F.; van Zwet, W. R.
1986
Empirical Bayes estimation in functional and structural models, and uniformly adaptive estimation of location. Zbl 0609.62044
Bickel, P. J.; Klaassen, C. A. J.
1986
A simple analysis of third-order efficiency of estimates. Zbl 1373.62093
Bickel, Peter J.; Götze, Friedrich; van Zwet, W. R.
1985
Asymptotic normality and the bootstrap in stratified sampling. Zbl 0542.62009
Bickel, P. J.; Freedman, D. A.
1984
Parametric robustness: Small biases can be worthwhile. Zbl 0545.62028
Bickel, P. J.
1984
Robust regression based on infinitesimal neighbourhoods. Zbl 0567.62051
Bickel, P. J.
1984
Sums of functions of nearest neighbor distances, moment bounds, limit theorems and a goodness of fit test. Zbl 0502.62045
Bickel, Peter J.; Breiman, Leo
1983
Bootstrapping regression models with many parameters. Zbl 0529.62057
Bickel, P. J.; Freedman, D. A.
1983
Minimax estimation of the mean of a normal distribution subject to doing well at a point. Zbl 0545.62029
Bickel, P. J.
1983
A Festschrift for Erich L. Lehmann. In honor of his sixty-fifth birthday. Zbl 0511.00027
Bickel, Peter J.; Doksum, Kjell A.; Hodges, J. L. jun.
1983
Minimizing Fisher information over mixtures of distributions. Zbl 0544.62021
Bickel, P. J.; Collins, J. R.
1983
On adaptive estimation. Zbl 0489.62033
Bickel, P. J.
1982
...and 53 more Documents
all top 5

#### Cited by 5,589 Authors

 45 Fan, Jianqing 35 Bickel, Peter John 32 Schick, Anton 29 Bühlmann, Peter 27 Van de Geer, Sara Anna 25 Hall, Peter Gavin 24 Cai, Tony Tony 23 Dette, Holger 23 Hallin, Marc 23 Wefelmeyer, Wolfgang 20 Lian, Heng 19 Van der Vaart, Adrianus Willem 18 Liu, Han 18 Park, Byeong Uk 18 Tsybakov, Alexandre B. 17 Bouzebda, Salim 17 Härdle, Wolfgang Karl 17 Hwang, Leng-Cheng 17 Linton, Oliver Bruce 17 Ma, Yanyuan 17 Van Keilegom, Ingrid 16 Levina, Elizaveta 16 Mukerjee, Rahul 16 Politis, Dimitris Nicolas 16 Priebe, Carey E. 14 Cheng, Guang 14 Horváth, Lajos 14 Klaassen, Chris A. J. 14 Lahiri, Soumendra Nath 14 Li, Runze 14 Matrán, Carlos 14 Van der Laan, Mark Johannes 14 Wainwright, Martin J. 14 Wu, Wei Biao 13 Huang, Jian 13 Lee, Sangyeol 13 Leng, Chenlei 13 Müller, Ursula U. 13 Nickl, Richard 13 Zhou, Harrison H. 13 Zhu, Ji 12 Ahmad, Ibrahim A. 12 Dalalyan, Arnak S. 12 del Barrio, Eustasio 12 Doukhan, Paul 12 Gel, Yulia R. 12 Ghosal, Subhashis 12 Ghosh, Malay 12 Giné-Masdéu, Evarist 12 Ritov, Ya’acov 12 Sordo, Miguel A. 12 Yang, Lijian 12 Zhang, Cun-Hui 12 Zhu, Lixing 11 Cheng, Fuxia 11 Cuesta-Albertos, Juan Antonio 11 Hu, Tao 11 Kolchinskiĭ, Vladimir I’ich 11 Lu, Xuewen 11 Mammen, Enno 11 Verzelen, Nicolas 11 Víšek, Jan Ámos 11 Wang, Yazhen 11 Wasserman, Larry Alan 11 Werker, Bas J. M. 11 Yuan, Ming 10 Bradic, Jelena 10 Carroll, Raymond James 10 Chernozhukov, Victor 10 El Karoui, Noureddine 10 Fan, Yingying 10 Gao, Chao 10 Ghosh, Jayanta Kumar 10 Han, Fang 10 Janssen, Paul 10 Jing, Bingyi 10 Jurečková, Jana 10 Kabaila, Paul V. 10 Kochar, Subhash C. 10 Kosorok, Michael R. 10 Koul, Hira Lal 10 Paindaveine, Davy 10 Paparoditis, Efstathios 10 Rousseeuw, Peter J. 10 Sen, Pranab Kumar 10 Shao, Jun 10 Sun, Jianguo 10 Veraverbeke, Noël 10 Yu, Bin 10 Yuan, Ao 9 Arias-Castro, Ery 9 Bose, Arup 9 Chen, Xiaohong 9 Gijbels, Irène 9 Guillot, Dominique 9 Holzmann, Hajo 9 Kreiss, Jens-Peter 9 Li, Qi 9 Liang, Hua 9 Liao, Yuan ...and 5,489 more Authors
all top 5

#### Cited in 341 Serials

 525 The Annals of Statistics 271 Journal of Statistical Planning and Inference 263 Statistics & Probability Letters 258 Journal of Multivariate Analysis 237 Journal of Econometrics 198 Communications in Statistics. Theory and Methods 190 Computational Statistics and Data Analysis 187 Electronic Journal of Statistics 131 Bernoulli 112 Annals of the Institute of Statistical Mathematics 105 Journal of the American Statistical Association 94 Journal of Nonparametric Statistics 78 The Canadian Journal of Statistics 73 Statistics 64 Communications in Statistics. Simulation and Computation 64 Journal of Statistical Computation and Simulation 64 Econometric Theory 63 Statistical Science 61 Stochastic Processes and their Applications 58 Scandinavian Journal of Statistics 54 The Annals of Applied Statistics 53 Test 52 Metrika 52 Probability Theory and Related Fields 51 Journal of Machine Learning Research (JMLR) 48 Biometrics 45 Sequential Analysis 32 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 31 Statistics and Computing 29 Journal of the Royal Statistical Society. Series B. Statistical Methodology 27 Insurance Mathematics & Economics 27 Mathematical Methods of Statistics 26 Journal of Applied Statistics 25 Kybernetika 24 Journal of the Korean Statistical Society 23 Computational Statistics 23 Statistical Papers 22 Journal of Time Series Analysis 22 Econometric Reviews 22 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 19 Biometrical Journal 19 Statistica Neerlandica 19 Sankhyā. Series A 17 Psychometrika 17 Lifetime Data Analysis 17 Journal of Statistical Theory and Practice 17 Science China. Mathematics 16 Neural Computation 16 Economics Letters 16 The Annals of Applied Probability 16 Journal of Mathematical Sciences (New York) 15 The Annals of Probability 15 Journal of Theoretical Probability 14 Lithuanian Mathematical Journal 14 Statistica Sinica 14 Statistical Inference for Stochastic Processes 14 Bayesian Analysis 13 Machine Learning 13 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 12 Acta Mathematicae Applicatae Sinica. English Series 12 European Journal of Operational Research 11 Pattern Recognition 11 Statistical Methods and Applications 10 Journal of Soviet Mathematics 10 Mathematical Programming. Series A. Series B 10 Applied and Computational Harmonic Analysis 10 Australian & New Zealand Journal of Statistics 10 Statistical Methodology 10 Statistical Analysis and Data Mining 9 Applied Mathematics and Computation 9 Linear Algebra and its Applications 8 Journal of the Franklin Institute 8 Journal of Applied Probability 8 Journal of Computational and Applied Mathematics 8 American Journal of Mathematical and Management Sciences 8 The Econometrics Journal 8 Comptes Rendus. Mathématique. Académie des Sciences, Paris 8 Advances in Data Analysis and Classification. ADAC 7 Advances in Applied Probability 7 Journal of Computational Physics 7 Automatica 7 Science in China. Series A 7 Proceedings of the National Academy of Sciences of the United States of America 7 Extremes 7 Acta Mathematica Sinica. English Series 7 Methodology and Computing in Applied Probability 7 Quantitative Finance 7 Journal of Systems Science and Complexity 7 Statistical Modelling 7 ASTIN Bulletin 7 AStA. Advances in Statistical Analysis 7 Sankhyā. Series B 7 Random Matrices: Theory and Applications 6 Computers & Mathematics with Applications 6 Journal of Mathematical Analysis and Applications 6 Journal of Mathematical Psychology 6 Advances in Applied Mathematics 6 Stochastic Analysis and Applications 6 Physica D 6 Probability in the Engineering and Informational Sciences ...and 241 more Serials
all top 5

#### Cited in 51 Fields

 4,431 Statistics (62-XX) 875 Probability theory and stochastic processes (60-XX) 551 Numerical analysis (65-XX) 211 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 169 Computer science (68-XX) 147 Operations research, mathematical programming (90-XX) 115 Biology and other natural sciences (92-XX) 107 Combinatorics (05-XX) 76 Information and communication theory, circuits (94-XX) 57 Linear and multilinear algebra; matrix theory (15-XX) 47 Systems theory; control (93-XX) 38 Functional analysis (46-XX) 22 History and biography (01-XX) 16 Approximations and expansions (41-XX) 14 Geophysics (86-XX) 13 Harmonic analysis on Euclidean spaces (42-XX) 12 Dynamical systems and ergodic theory (37-XX) 12 Operator theory (47-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 11 Measure and integration (28-XX) 11 Quantum theory (81-XX) 9 Statistical mechanics, structure of matter (82-XX) 8 Ordinary differential equations (34-XX) 8 Partial differential equations (35-XX) 7 Convex and discrete geometry (52-XX) 5 Special functions (33-XX) 5 Fluid mechanics (76-XX) 4 Number theory (11-XX) 4 Real functions (26-XX) 4 Abstract harmonic analysis (43-XX) 4 Integral transforms, operational calculus (44-XX) 4 Integral equations (45-XX) 4 Astronomy and astrophysics (85-XX) 3 Functions of a complex variable (30-XX) 3 Algebraic topology (55-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Mathematics education (97-XX) 2 Group theory and generalizations (20-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Differential geometry (53-XX) 2 General topology (54-XX) 1 General and overarching topics; collections (00-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Topological groups, Lie groups (22-XX) 1 Potential theory (31-XX) 1 Sequences, series, summability (40-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX)

#### Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.