## Seneta, Eugene

Compute Distance To:
 Author ID: seneta.eugene Published as: Seneta, E.; Seneta, Eugene Homepage: http://www.maths.usyd.edu.au/ut/people%3Fwho%3DE_Seneta External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef
 Documents Indexed: 220 Publications since 1965, including 7 Books 2 Contributions as Editor · 3 Further Contributions Reviewing Activity: 163 Reviews Biographic References: 1 Publication Co-Authors: 69 Co-Authors with 120 Joint Publications 1,837 Co-Co-Authors
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### Co-Authors

 100 single-authored 13 Fung, Thomas 8 Finlay, Richard 8 Heyde, Christopher Charles 7 Chen, Tuhao 5 Chen, John Tuhao 5 Jongmans, François 5 Vere-Jones, David 4 Hoppe, Fred M. 3 Bojanic, Ranko 3 Darroch, John N. 3 Galambos, Janos 3 Heathcote, Christopher R. 3 Ku, Simon F. 3 Madan, Dilip B. 3 Quine, Malcolm P. 2 Allen, Bronwyn 2 Anderssen, Robert Scott 2 Bru, Bernard 2 Buckley, M. J. 2 Gani, Joseph Mark 2 Gibson, Diana 2 Golub, Gene Howard 2 Hall, Peter Gavin 2 Hartfiel, Darald J. 2 Parshall, Karen Hunger 2 Ruskai, Mary Beth 2 Tavaré, Simon 2 Wang, Joanna J. J. 2 Weber, Neville C. 1 Aczél, János Dezső 1 Ahsanullah, Mohammad 1 Basawa, Ishwar V. 1 Basu, Asit P. 1 Berry, Geoffrey 1 Bingham, Michael S. 1 Bismut, Jean-Michel 1 Block, Henry W. 1 Bondesson, Lennart 1 Chatterjee, Samprit 1 Choi, Man-Duen 1 Cohen, Joel E. 1 Consul, Prem C. 1 Crepel, Pierre 1 Daley, Daryl John 1 Ding, Qin 1 Divis, Zita M. 1 Doeblin, Wolfgang 1 Drasin, David 1 Epps, Thomas Wake 1 Fienberg, Stephen Elliot 1 Föllmer, Hans 1 Godambe, Ashok V. 1 Gokhale, Dattaprabhakar Vinayak 1 Goldie, Charles M. 1 Gordon, F. S. 1 Gordon, P. S. 1 Govindarajulu, Zakkula 1 Gupta, Arjun Kumar 1 Gyires, Béla 1 Harrar, Solomon W. 1 Heyde, C. E. 1 Hudson, Irene Lena 1 Iosifescu, Marius 1 Isaacson, Dean L. 1 Ivanoff, B. Gail 1 Iwasa, Yoh 1 Janardan, Konanur G. 1 Jongmanns, François 1 Kagan, Abram Meerovich 1 Kaminsky, Kenneth S. 1 Kang, Kathy M. 1 Kemp, Adrienne W. 1 Kemp, C. David 1 Kijima, Masaaki 1 Klebanov, Leo B. 1 Kotlarski, Ignacy Icchak 1 Kotz, Samuel 1 Lindvall, Torgny 1 Macaskill, Petra 1 Maller, Ross Arthur 1 Mandl, Petr 1 Mardia, Kanti V. 1 Nelson, Paul Irwin 1 Nevai, Paul G. 1 Neville, A. M. 1 Nummelin, Esa 1 Ord, J. Keith 1 Patil, Ganapati P. 1 Pentony, Susan J. 1 Phipps, Mary C. 1 Prakasa Rao, B. L. S. 1 Puri, Prem S. 1 Rao, Calyampudi Radhakrishna 1 Ratnaparkhi, M. U. 1 Răuţu, Gheorghe 1 Recsei, Elaine 1 Rice, Adrian Clifford 1 Rossberg, Hans-Joachim 1 Rukhin, Andrew L. 1 Saleh, A. K. Md. Ehsanes ...and 13 more Co-Authors
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### Serials

 30 Journal of Applied Probability 13 International Statistical Review 12 Advances in Applied Probability 10 Statistics & Probability Letters 9 Linear Algebra and its Applications 7 The Australian Journal of Statistics 6 The Mathematical Scientist 5 Publications de l’Institut Mathématique. Nouvelle Série 5 Stochastic Processes and their Applications 4 Journal of Multivariate Analysis 4 Historia Mathematica 4 Methodology and Computing in Applied Probability 4 Journal of the Australian Mathematical Society 3 Archive for History of Exact Sciences 3 Bulletin of the Australian Mathematical Society 3 Mathematical Biosciences 3 Proceedings of the American Mathematical Society 3 Communications in Statistics. Theory and Methods 3 Journal of the Royal Statistical Society. Series B 3 Theory of Stochastic Processes 3 Proceedings of the Cambridge Philosophical Society 2 Journal of Mathematical Analysis and Applications 2 Journal of Mathematical Biology 2 Ukraïns’kyĭ Matematychnyĭ Zhurnal 2 The Annals of Probability 2 Biometrical Journal 2 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 2 Statistical Science 2 Annales de la Société Scientifique de Bruxelles. Série I 2 Journal of the Australian Mathematical Society. Series A 2 Combinatorics, Probability and Computing 2 Teoriya Ĭmovirnosteĭ ta Matematychna Statystyka 2 Springer Series in Statistics 1 American Mathematical Monthly 1 Discrete Applied Mathematics 1 Linear and Multilinear Algebra 1 Studia Mathematica 1 Teoriya Veroyatnosteĭ i eë Primeneniya 1 Zastosowania Matematyki 1 Theory of Probability and its Applications 1 Annals of the Institute of Statistical Mathematics 1 Biometrika 1 Bulletin of the Malaysian Mathematical Society. Second Series 1 Bulletin de la Société Royale des Sciences de Liège 1 Commentationes Mathematicae Universitatis Carolinae 1 Czechoslovak Mathematical Journal 1 Journal of the American Statistical Association 1 Journal of Approximation Theory 1 Mathematische Zeitschrift 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 Sankhyā. Series A. Methods and Techniques 1 Sankhyā. Series B. Methodological 1 Theoretical Population Biology 1 Journal of the Royal Statistical Society. Series A 1 Roczniki Polskiego Towarzystwa Matematycznego. Seria II. Wiadomości Matematyczne 1 Operations Research Letters 1 Journal of Time Series Analysis 1 Probability and Mathematical Statistics 1 Probability Theory and Related Fields 1 Journal of Economics 1 Journal of Theoretical Probability 1 SIAM Journal on Matrix Analysis and Applications 1 Economics Letters 1 Aequationes Mathematicae 1 Communications in Statistics. Simulation and Computation 1 Computational Statistics and Data Analysis 1 Theory of Probability and Mathematical Statistics 1 Bernoulli 1 Australian & New Zealand Journal of Statistics 1 Journal of the Royal Statistical Society. Series A. Statistics in Society 1 International Journal of Theoretical and Applied Finance 1 Quantitative Finance 1 Lecture Notes in Mathematics 1 NATO ASI Series. Series C. Mathematical and Physical Sciences 1 Annals of Mathematical Statistics 1 Biometrische Zeitschrift
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### Fields

 132 Probability theory and stochastic processes (60-XX) 69 Statistics (62-XX) 49 History and biography (01-XX) 22 Linear and multilinear algebra; matrix theory (15-XX) 16 Real functions (26-XX) 14 Numerical analysis (65-XX) 10 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Biology and other natural sciences (92-XX) 4 Combinatorics (05-XX) 4 Sequences, series, summability (40-XX) 3 Approximations and expansions (41-XX) 2 Measure and integration (28-XX) 2 Special functions (33-XX) 2 Computer science (68-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX)

### Citations contained in zbMATH Open

180 Publications have been cited 3,209 times in 2,477 Documents Cited by Year
Regularly varying functions. Zbl 0324.26002
Seneta, Eugene
1976
Non-negative matrices and Markov chains. 2nd ed. Zbl 0471.60001
Seneta, E.
1981
Non-negative matrices and Markov chains. Revised reprint of the 2nd ed. Zbl 1099.60004
Seneta, E.
2006
Non-negative matrices. An introduction to theory and applications. Zbl 0278.15011
Seneta, E.
1973
On quasi-stationary distributions on absorbing discrete-time finite Markov chains. Zbl 0134.34704
Darroch, J. N.; Seneta, E.
1965
On quasi-stationary distributions in absorbing continuous-time finite Markov chains. Zbl 0168.16303
Darroch, J. N.; Seneta, E.
1967
A unified theory of regularly varying sequences. Zbl 0256.40002
Bojanic, Ranko; Seneta, Eugene
1973
On quasi-stationary distributions in discrete-time Markov chains with a denumerable infinity of states. Zbl 0147.36603
Seneta, E.; Vere-Jones, D.
1966
Regularly varying sequences. Zbl 0247.26002
Galambos, Janos; Seneta, E.
1973
Regularly varying functions in the theory of simple branching processes. Zbl 0291.60043
Seneta, E.
1974
Coefficients of ergodicity: Structure and applications. Zbl 0406.60060
Seneta, E.
1979
Estimation theory for growth and immigration rates in a multiplicative process. Zbl 0243.60047
Heyde, C. C.; Seneta, E.
1972
Towards consensus: Some convergence theorems on repeated averaging. Zbl 0381.60056
Chatterjee, S.; Seneta, E.
1977
Fitting the variance-gamma model to financial data. Zbl 1058.91043
Seneta, Eugene
2004
Functional equations and the Galton-Watson process. Zbl 0183.46105
Seneta, E.
1969
Regularly varying functions. (Pravil’no menyayushchiesya funktsii). Transl. from the English by I. S. Shiganov. Transl. ed. by V. M. Zolotarev. Zbl 0563.26002
Seneta, E.
1985
On recent theorems concerning the supercritical Galton-Watson process. Zbl 0176.47603
Seneta, E.
1968
Slowly varying functions and asymptotic relations. Zbl 0222.26003
Bojanic, R.; Seneta, E.
1971
Perturbation of the statioary distribution measured by ergodicity coefficients. Zbl 0645.60070
Seneta, E.
1988
Computing the stationary distribution for infinite Markov chains. Zbl 0484.65086
Seneta, E.
1980
I. J. Bienayme. Statistical theory anticipated. Zbl 0371.01010
Heyde, C. E.; Seneta, E.
1977
Stationary-increment Student and variance-gamma processes. Zbl 1103.62103
Finlay, Richard; Seneta, Eugene
2006
Sensitivity analysis, ergodicity coefficients, and rank-one updates for finite Markov chains. Zbl 0744.60078
Seneta, E.
1991
Augmented truncations of infinite stochastic matrices. Zbl 0628.15019
Gibson, Diana; Seneta, E.
1987
Relative entropy under mappings by stochastic matrices. Zbl 0764.60068
Cohen, Joel E.; Iwasa, Yoh; Rautu, Gh.; Ruskai, Mary Beth; Seneta, Eugene; Zbaganu, Gh.
1993
On the historical development of the theory of finite inhomogeneous Markov chains. Zbl 0271.60074
Seneta, E.
1973
Sensitivity of finite Markov chains under perturbation. Zbl 0777.60065
Seneta, E.
1993
Finite approximations to infinite non-negative matrices. Zbl 0178.20602
Seneta, E.
1967
Option pricing with VG-like models. Zbl 1175.91178
Finlay, Richard; Seneta, Eugene
2008
A note on the supercritical Galton-Watson process with immigraiton. Zbl 0195.19202
Seneta, E.
1970
Notes on ’Estimation theory for growth and immigration rates in a multiplicative process’. Zbl 0294.60063
Heyde, C. C.; Seneta, E.
1974
The Galton-Watson process with mean one. Zbl 0178.19601
Seneta, E.
1967
On the supercritical Galton-Watson process with immigration. Zbl 0209.48804
Seneta, E.
1970
Tail dependence for two skew $$t$$ distributions. Zbl 1186.62069
Fung, Thomas; Seneta, Eugene
2010
An explicit-limit theorem for the critical Galton-Watson process with immigration. Zbl 0198.52002
Seneta, E.
1970
Analogues of classical limit theorems for the supercritical Galton-Watson process with immigration. Zbl 0224.60042
Heyde, C. C.; Seneta, E.
1971
Simulation of estimates using the empirical characteristic function. Zbl 0616.62033
1987
Monotone infinite stochastic matrices and their augmented truncations. Zbl 0623.60089
Gibson, Diana; Seneta, E.
1987
Goodness-of-fit for a branching process with immigration using sample partial autocorrelations. Zbl 0682.62057
Mills, T. M.; Seneta, E.
1989
A refinement of two theorems in the theory of branching processes. Zbl 0166.14202
Heathcote, C. R.; Seneta, E.; Vere-Jones, D.
1967
On a problem of M. Jirina concerning continuous state branching processes. Zbl 0181.44002
Seneta, E.; Vere-Jones, D.
1969
On invariant measures for simple branching processes. Zbl 0215.53701
Seneta, E.
1971
Explicit forms for ergodicity coefficients and spectrum localization. Zbl 0594.15007
Seneta, E.
1984
On strong ergodicity of inhomogeneous products of finite stochastic matrices. Zbl 0256.60040
Seneta, E.
1973
The simple branching process with infinite mean. I. Zbl 0258.60058
Seneta, E.
1973
Finite approximations to infinite non-negative matrices. II: Refinements and applications. Zbl 0197.02802
Seneta, E.
1968
On the limiting set of nonnegative matrix products. Zbl 0541.15009
Seneta, E.
1984
The stationary distribution of a branching process allowing immigration: A remark on the critical case. Zbl 0157.26401
Seneta, E.
1968
On the asymptotic behaviour of subcritical branching processes with continuous state space. Zbl 0167.16801
Seneta, E.; Vere-Jones, D.
1968
On the theory of Markov set-chains. Zbl 0814.60060
Hartfiel, D. J.; Seneta, E.
1994
Skewed normal variance-mean models for asset pricing and the method of moments. Zbl 1131.62096
Tjetjep, Annelies; Seneta, Eugene
2006
Peaks and Eulerian numbers in a random sequence. Zbl 0845.60035
Warren, Di; Seneta, E.
1996
Markov and the birth of chain dependence theory. Zbl 0918.60008
Seneta, E.
1996
Record times. Zbl 0276.60028
Galambos, Janos; Seneta, E.
1975
Extending the multivariate generalised $$t$$ and generalised $$VG$$ distributions. Zbl 1182.62121
Fung, Thomas; Seneta, Eugene
2010
Some results for quasi-stationary distributions of birth-death processes. Zbl 0738.60081
Kijima, Masaaki; Seneta, E.
1991
The genetic balance between random sampling and random population size. Zbl 0305.92009
Heyde, C. C.; Seneta, E.
1975
The local limit theorem for the Galton-Watson process. Zbl 0332.60059
Dubuc, S.; Seneta, E.
1976
Quasi-stationary behaviour in the random walk with continuous time. Zbl 0147.16303
Seneta, E.
1966
On the comparison of two observed frequencies. Zbl 1068.62507
Seneta, Eugene; Phipps, Mary C.
2001
The bivariate normal copula function is regularly varying. Zbl 1228.62060
Fung, Thomas; Seneta, Eugene
2011
The theory of non-negative matrices in a dynamic programming problem. Zbl 0185.08003
Mandl, P.; Seneta, E.
1969
A refinement of two theorems in the theory of branching processes. Zbl 0185.44902
Heathcote, C. R.; Seneta, E.; Vere-Jones, D.
1967
A gamma activity time process with noninteger parameter and self-similar limit. Zbl 1181.60053
Finlay, Richard; Seneta, Eugene
2007
Mathematics, religion, and Marxism in the Soviet Union in the 1930s. Zbl 1085.01017
Seneta, Eugene
2004
A generalization of slowly varying functions. Zbl 0591.26004
Drasin, D.; Seneta, E.
1986
The central limit problem and linear least squares in pre-revolutionary Russia: The background. Zbl 0542.01003
Seneta, E.
1984
Sensitivity to perturbation of the stationary distribution: Some refinements. Zbl 0657.60096
Seneta, E.
1988
The principle of truncations in applied probability. Zbl 0243.60038
Seneta, E.
1968
Computation of the stationary distribution of an infinite Markov matrix. Zbl 0248.60064
Golub, G. H.; Seneta, E.
1973
Statisticians of the centuries. Zbl 1016.01025
2001
Autocorrelation functions. Zbl 1422.62281
Finlay, Richard; Fung, Thomas; Seneta, Eugene
2011
On Koenigs’ ratios for iterates of real functions. Zbl 0176.46101
Seneta, E.
1969
Spectrum localization by ergodicity coefficients for stochastic matrices. Zbl 0526.15013
Seneta, E.
1983
On explicit and Fréchet-optimal lower bounds. Zbl 1005.60039
Seneta, Eugene; Chen, John Tuhao
2002
On the history of the strong law of large numbers and Boole’s inequality. Zbl 0744.01008
Seneta, E.
1992
Inequalities for branching processes. Zbl 0166.14201
Heathcote, C. R.; Seneta, E.
1966
Tail asymptotics for the bivariate skew normal. Zbl 1328.62364
Fung, Thomas; Seneta, Eugene
2016
An interpretation of some aspects of Karamata’s theory of regular variation. Zbl 0267.26002
Seneta, E.
1973
Convergence rate to a lower tail dependence coefficient of a skew-$$t$$ distribution. Zbl 1352.62074
Fung, Thomas; Seneta, Eugene
2014
Quasi-stationary distributions and time-reversion in genetics. Zbl 0149.17401
Seneta, E.
1966
A Bonferroni-type identity and permutation bounds. Zbl 0718.60012
Hoppe, Fred M.; Seneta, Eugene
1990
Karamata’s characterization theorem, Feller, and regular variation in probability theory. Zbl 1088.60008
Seneta, E.
2002
Tail dependence and skew distributions. Zbl 1278.62089
Fung, Thomas; Seneta, Eugene
2011
A tricentenary history of the law of large numbers. Zbl 1277.60005
Seneta, Eugene
2013
On asymptotic properties of sub-critical branching processes. Zbl 0164.47101
Seneta, E.
1968
A limit theorem for the Galton-Watson process with immigration. Zbl 0188.51603
Quine, M. P.; Seneta, E.
1969
Equivalence of certain entropy contraction coefficients. Zbl 0807.60064
Choi, Man-Duen; Ruskai, Mary Beth; Seneta, Eugene
1994
Bortkiewicz’s data and the law of small numbers. Zbl 0622.62003
Quine, M. P.; Seneta, E.
1987
Bonferroni-type inequalities. Zbl 0626.60013
Recsei, Elaine; Seneta, E.
1987
A note on models using the branching process with immigration stopped at zero. Zbl 0511.60075
Seneta, E.; Tavare, S.
1983
The Euclidean and Frobenius ergodicity coefficients and spectrum localization. Zbl 0549.15011
Seneta, E.; Tan, Choon Peng
1984
Random fields with Pólya correlation structure. Zbl 1308.60066
Finlay, Richard; Seneta, Eugene
2014
Sequential criteria for irregular variation. Zbl 0229.26004
Seneta, E.
1971
Explicit forms for ergodicity coefficients of stochastic matrices. Zbl 0785.15012
Seneta, Eugene
1993
Building an international reputation: The case of J. J. Sylvester (1814-1897). Zbl 0872.01011
Parshall, Karen Hunger; Seneta, Eugene
1997
Karamata’s iteration theorem and normed regularly varying sequences in a historical light. Zbl 0731.26003
Seneta, E.
1990
Characterization by orthogonal polynomial systems of finite Markov chains. Zbl 1019.60070
Seneta, E.
2001
Early influences on probability and statistics in the Russian empire. Zbl 0917.01019
Seneta, E.
1998
Entropy and martingales in Markov chain models. Zbl 0492.60080
Seneta, E.
1982
Slowly varying functions in the Zygmund sense and generalized regular variation. Zbl 1414.26007
Seneta, Eugene
2019
Quantile function expansion using regularly varying functions. Zbl 1411.60020
Fung, Thomas; Seneta, Eugene
2018
In memoriam: Ranko Bojanic November 12, 1924-February 21, 2017. Zbl 1387.01013
Divis, Zita M.; Nevai, Paul; Seneta, Eugene
2018
A scalar-valued infinitely divisible random field with Pólya autocorrelation. Zbl 1356.60081
Finlay, Richard; Seneta, Eugene
2017
Tail asymptotics for the bivariate skew normal. Zbl 1328.62364
Fung, Thomas; Seneta, Eugene
2016
Markov chains as models in statistical mechanics. Zbl 1442.62764
Seneta, Eugene
2016
In memoriam: François Jongmans (1921–2014), mathematical historian. Zbl 1332.01060
Seneta, Eugene
2015
Convergence rate to a lower tail dependence coefficient of a skew-$$t$$ distribution. Zbl 1352.62074
Fung, Thomas; Seneta, Eugene
2014
Random fields with Pólya correlation structure. Zbl 1308.60066
Finlay, Richard; Seneta, Eugene
2014
A tricentenary history of the law of large numbers. Zbl 1277.60005
Seneta, Eugene
2013
An inverse gamma activity time process with noninteger parameters and a self-similar limit. Zbl 1255.60056
Finlay, Richard; Seneta, Eugene; Wang, Dingcheng
2012
The bivariate normal copula function is regularly varying. Zbl 1228.62060
Fung, Thomas; Seneta, Eugene
2011
Autocorrelation functions. Zbl 1422.62281
Finlay, Richard; Fung, Thomas; Seneta, Eugene
2011
Tail dependence and skew distributions. Zbl 1278.62089
Fung, Thomas; Seneta, Eugene
2011
Tail dependence for two skew $$t$$ distributions. Zbl 1186.62069
Fung, Thomas; Seneta, Eugene
2010
Extending the multivariate generalised $$t$$ and generalised $$VG$$ distributions. Zbl 1182.62121
Fung, Thomas; Seneta, Eugene
2010
Option pricing with VG-like models. Zbl 1175.91178
Finlay, Richard; Seneta, Eugene
2008
A characterisation of scale mixtures of the uniform distribution. Zbl 1148.62033
Fung, Thomas; Seneta, Eugene
2008
In vino veritas, in dolio calamitas. (With an appendix by E. Seneta). Zbl 1151.51010
Jongmanns, François
2008
Obituary: Christopher Charles Heyde AM, DSc, FAA, FASSA. Zbl 1149.60301
Gani, Joe; Seneta, Eugene
2008
A gamma activity time process with noninteger parameter and self-similar limit. Zbl 1181.60053
Finlay, Richard; Seneta, Eugene
2007
Tailweight, quantiles and kurtosis: A study of competing distributions. Zbl 1120.62012
Fung, Thomas; Seneta, Eugene
2007
Non-negative matrices and Markov chains. Revised reprint of the 2nd ed. Zbl 1099.60004
Seneta, E.
2006
Stationary-increment Student and variance-gamma processes. Zbl 1103.62103
Finlay, Richard; Seneta, Eugene
2006
Skewed normal variance-mean models for asset pricing and the method of moments. Zbl 1131.62096
Tjetjep, Annelies; Seneta, Eugene
2006
Duality between matrix variate $$t$$ and matrix variate V.G. distributions. Zbl 1119.62048
Harrar, Solomon W.; Seneta, Eugene; Gupta, Arjun K.
2006
A Fréchet-optimal strengthening of the Dawson-Sankoff lower bound. Zbl 1106.60025
Chen, John T.; Seneta, Eugene
2006
Normal characterization by zero correlations. Zbl 1106.60017
Seneta, Eugene; Szekely, Gabor J.
2006
Simple stepwise tests of hypotheses and multiple comparisons. Zbl 1296.62124
Seneta, Eugene; Chen, John T.
2005
The problem of the broken rod and Ernesto Cesàro’s early work in probability. Zbl 1084.60004
Seneta, Eugene; Jongmans, François
2005
De Morgan in the prehistory of statistical hypothesis testing. Zbl 1119.62002
2005
Fitting the variance-gamma model to financial data. Zbl 1058.91043
Seneta, Eugene
2004
Mathematics, religion, and Marxism in the Soviet Union in the 1930s. Zbl 1085.01017
Seneta, Eugene
2004
Statistical regularity and free will: L.A.J. Quetelet and P.A. Nekrasov. Zbl 1114.62302
Seneta, Eugene
2003
On explicit and Fréchet-optimal lower bounds. Zbl 1005.60039
Seneta, Eugene; Chen, John Tuhao
2002
Karamata’s characterization theorem, Feller, and regular variation in probability theory. Zbl 1088.60008
Seneta, E.
2002
On the comparison of two observed frequencies. Zbl 1068.62507
Seneta, Eugene; Phipps, Mary C.
2001
Statisticians of the centuries. Zbl 1016.01025
2001
Characterization by orthogonal polynomial systems of finite Markov chains. Zbl 1019.60070
Seneta, E.
2001
Nineteenth-century developments in geometric probability: J. J. Sylvester, M. W. Crofton, J.-É. Barbier, and J. Bertrand. Zbl 1160.01313
Seneta, Eugene; Hunger Parshall, Karen; Jongmans, François
2001
M. V. Ostrogradskij as probabilist. Zbl 0989.01023
Seneta, E.
2001
Multivariate Sobel-Uppuluri-Galambos-type bounds. Zbl 0973.60017
Seneta, E.; Chen, John T.
2000
A refinement of multivariate Bonferroni-type inequalities. Zbl 0964.60020
Chen, Tuhao; Seneta, E.
2000
Adjustment to Lancaster’s mid-$$P$$. Zbl 0956.62017
Seneta, Eugene; Berry, Geoffrey; Macaskill, Petra
1999
Early influences on probability and statistics in the Russian empire. Zbl 0917.01019
Seneta, E.
1998
I. J. Bienaymé (1796-1878): criticality, inequality, and internationalization. Zbl 1065.62500
Seneta, E.
1998
Practical estimation from the sum of AR(1) processes. Zbl 0919.62108
Ku, S.; Seneta, E.
1998
Complementation in stochastic matrices and the GTH algorithm. Zbl 0916.60062
Seneta, E.
1998
Building an international reputation: The case of J. J. Sylvester (1814-1897). Zbl 0872.01011
Parshall, Karen Hunger; Seneta, Eugene
1997
M. Krawtchouk (1892-1942) – Professor of mathematical statistics. Zbl 0932.01037
Seneta, Eugene
1997
A sequentially rejective test procedure. Zbl 0928.62062
Seneta, Eugene; Chen, Tuhao
1997
Peaks and Eulerian numbers in a random sequence. Zbl 0845.60035
Warren, Di; Seneta, E.
1996
Markov and the birth of chain dependence theory. Zbl 0918.60008
Seneta, E.
1996
Quenouille-type theorem on autocorrelations. Zbl 1121.62536
Ku, Simon; Seneta, Eugene
1996
Multivariate Bonferroni-type lower bounds. Zbl 0865.60013
Chen, Tuhao; Seneta, E.
1996
Fréchet optimality of upper bivariate Bonferroni-type bounds. Zbl 0941.60037
Seneta, Eugene; Chen, Tuhao
1995
A note on bivariate Dawson-Sankoff-type bounds. Zbl 0833.60021
Chen, Tuhao; Seneta, E.
1995
On the theory of Markov set-chains. Zbl 0814.60060
Hartfiel, D. J.; Seneta, E.
1994
Equivalence of certain entropy contraction coefficients. Zbl 0807.60064
Choi, Man-Duen; Ruskai, Mary Beth; Seneta, Eugene
1994
A probabilistic “new principle” of the 19th century. Zbl 0802.01003
Jongmans, François; Seneta, Eugene
1994
The number of peaks in a stationary sample and orthant probabilities. Zbl 0807.62069
Ku, Simon; Seneta, Eugene
1994
Carl Liebermeister’s hypergeometric tails. Zbl 0813.01006
Seneta, E.
1994
Relative entropy under mappings by stochastic matrices. Zbl 0764.60068
Cohen, Joel E.; Iwasa, Yoh; Rautu, Gh.; Ruskai, Mary Beth; Seneta, Eugene; Zbaganu, Gh.
1993
Sensitivity of finite Markov chains under perturbation. Zbl 0777.60065
Seneta, E.
1993
Explicit forms for ergodicity coefficients of stochastic matrices. Zbl 0785.15012
Seneta, Eugene
1993
Ergodicity for products of infinite stochastic matrices. Zbl 0774.60013
Seneta, E.
1993
The Bienaymé family history from archival materials and background to the turning-point test. Zbl 0792.01023
Jongmans, François; Seneta, Eugene
1993
Probability inequalities and Dunnett’s test. Zbl 0828.62060
Seneta, Eugene
1993
Applications of ergodicity coefficients to homogeneous Markov chains. Zbl 0784.60065
Seneta, E.
1993
On the history of the strong law of large numbers and Boole’s inequality. Zbl 0744.01008
Seneta, E.
1992
I. J. Bienaymé: Family information and proof of the criticality theorem. Zbl 0759.01003
Bru, Bernard; Jongmans, François; Seneta, Eugene
1992
Sensitivity analysis, ergodicity coefficients, and rank-one updates for finite Markov chains. Zbl 0744.60078
Seneta, E.
1991
Some results for quasi-stationary distributions of birth-death processes. Zbl 0738.60081
Kijima, Masaaki; Seneta, E.
1991
Independence of partial autocorrelations for a classical immigration branching process. Zbl 0736.62069
Mills, T. M.; Seneta, E.
1991
A Bonferroni-type identity and permutation bounds. Zbl 0718.60012
Hoppe, Fred M.; Seneta, Eugene
1990
Karamata’s iteration theorem and normed regularly varying sequences in a historical light. Zbl 0731.26003
Seneta, E.
1990
Bonferroni-type inequalities and the methods of indicators and polynomials. Zbl 0701.60013
Hoppe, Fred M.; Seneta, Eugene
1990
A note on semigroups of regular stochastic matrices. Zbl 0712.15015
Hartfiel, D. J.; Seneta, E.
1990
Goodness-of-fit for a branching process with immigration using sample partial autocorrelations. Zbl 0682.62057
Mills, T. M.; Seneta, E.
1989
Perturbation of the statioary distribution measured by ergodicity coefficients. Zbl 0645.60070
Seneta, E.
1988
Sensitivity to perturbation of the stationary distribution: Some refinements. Zbl 0657.60096
Seneta, E.
1988
Degree, iteration and permutation in improving Bonferroni-type bounds. Zbl 0659.60032
Seneta, E.
1988
Products of independent, normally attracted random variables. Zbl 0627.60029
Hall, Peter; Seneta, Eugene
1988
Augmented truncations of infinite stochastic matrices. Zbl 0628.15019
Gibson, Diana; Seneta, E.
1987
Simulation of estimates using the empirical characteristic function. Zbl 0616.62033
1987
Monotone infinite stochastic matrices and their augmented truncations. Zbl 0623.60089
Gibson, Diana; Seneta, E.
1987
Bortkiewicz’s data and the law of small numbers. Zbl 0622.62003
Quine, M. P.; Seneta, E.
1987
Bonferroni-type inequalities. Zbl 0626.60013
Recsei, Elaine; Seneta, E.
1987
Chuprov on finite exchangeability, expectation of ratios, and measures of association. Zbl 0628.01023
Seneta, E.
1987
A generalization of slowly varying functions. Zbl 0591.26004
Drasin, D.; Seneta, E.
1986
Modelling examination marks. Zbl 0593.62058
Daley, D. J.; Seneta, E.
1986
An inequality from genetics. Zbl 0605.60021
Seneta, E.
1986
Regularly varying functions. (Pravil’no menyayushchiesya funktsii). Transl. from the English by I. S. Shiganov. Transl. ed. by V. M. Zolotarev. Zbl 0563.26002
Seneta, E.
1985
A sketch of the history of survey sampling in Russia. Zbl 0606.62001
Seneta, E.
1985
The critical branching process with immigration stopped at zero. Zbl 0563.60078
Ivanoff, B. Gail; Seneta, E.
1985
Moments for stationary and quasi-stationary distributions of Markov chains. Zbl 0563.60079
Seneta, E.; Tweedie, R. L.
1985
Explicit forms for ergodicity coefficients and spectrum localization. Zbl 0594.15007
Seneta, E.
1984
On the limiting set of nonnegative matrix products. Zbl 0541.15009
Seneta, E.
1984
The central limit problem and linear least squares in pre-revolutionary Russia: The background. Zbl 0542.01003
Seneta, E.
1984
The Euclidean and Frobenius ergodicity coefficients and spectrum localization. Zbl 0549.15011
Seneta, E.; Tan, Choon Peng
1984
...and 80 more Documents
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### Cited by 2,776 Authors

 75 Seneta, Eugene 32 Kirkland, Stephen J. 24 Slaoui, Yousri 23 Neumann, Michael 22 Leonenko, Nikolai N. 20 Hartfiel, Darald J. 18 Pakes, Anthony G. 17 Djurčić, Dragan Ž. 17 Vatutin, Vladimir Alekseevich 16 Pollett, Philip K. 15 Yakymiv, Arsen Lubomirovich 14 Omey, Edward 14 Zhao, Yiqiang Q. 13 Evtukhov, Vyacheslav Mikhaĭlovich 11 Miyazawa, Masakiyo 11 Mukhamedov, Farruh Maksutovich 11 Resnick, Sidney Ira 11 Woess, Wolfgang 10 Clancy, Damian 10 Fung, Thomas 10 Kočinac, Ljubiša D. R. 10 Mâagli, Habib 10 Řehák, Pavel 10 Taylor, Peter Gerrard 10 Wu, Qunying 9 Bingham, Nicholas Hugh 9 Cîrstea, Florica-Corina Şt. 9 Drozhzhinov, Yuriĭ Nikolaevich 9 Hautphenne, Sophie 9 Latouche, Guy 9 Meerschaert, Mark Marvin 9 Murach, Aleksandr A. 9 Palmowski, Zbigniew 9 Rahimov, Ibrahim 9 Tuljapurkar, Shripad D. 8 Cavazos-Cadena, Rolando 8 Cohen, Joel E. 8 He, Qi-Ming 8 Imomov, Azam Abdurakhimovich 8 Martinez Aguilera, Servet 8 Masuyama, Hiroyuki 8 Moler, José Antonio 8 Pelletier, Mariane 8 Plo, Fernando 8 Raeburn, Iain 8 Vindas, Jasson 8 Weiß, Christian H. 8 Zav’yalov, Boris Ivanovich 8 Žižović, Mališa R. 7 Abbes, Samy 7 an Huef, Astrid 7 Athreya, Krishna Balasundaram 7 Cohn, Harry 7 Diaconis, Persi Warren 7 Finlay, Richard 7 Gonzalez-Velasco, Miguel 7 Heyde, Christopher Charles 7 Hoppe, Fred M. 7 Li, Junping 7 Los, Valerii M. 7 Martínez, Rodrigo 7 Mi, Ling 7 Nazarov, Alexander I. 7 Pilipović, Stevan 7 San Miguel, Miguel 7 Vassiliou, Panagiotis C. G. 6 Artalejo, Jesus R. 6 Ferrari, Pablo Augusto 6 Fu, James C. 6 Groisman, Pablo 6 Huang, Shuibo 6 Laca, Marcelo 6 Li, Yuqiang 6 Mairesse, Jean 6 Manojlović, Jelena V. 6 Mokkadem, Abdelkader 6 Mota, Manuel 6 Olenko, Andriy Yakovych 6 Sagitov, Serik 6 San Martín, Jaime 6 Scheffler, Hans-Peter 6 Sedletskiĭ, Anatoliĭ Mechislavovich 6 Sims, Aidan 6 Takaŝi, Kusano 6 Taufer, Emanuele 6 Tuncel, Selim 6 van Dijk, Nico M. 6 Wan, Haitao 6 Zhang, Mei 6 Zhang, Zhijun 5 Aaronson, Jon 5 Aissani, Djamil 5 Artzrouni, Marc 5 Banasiak, Jacek 5 Barbour, Andrew David 5 Biggins, J. D. 5 Cessac, Bruno 5 Chen, John Tuhao 5 Goldwurm, Massimiliano 5 Hunter, Jeffrey J. ...and 2,676 more Authors
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### Cited in 460 Serials

 136 Linear Algebra and its Applications 109 Stochastic Processes and their Applications 69 Journal of Mathematical Analysis and Applications 61 Statistics & Probability Letters 56 Journal of Applied Probability 42 Advances in Applied Probability 41 Mathematical Biosciences 38 Journal of Mathematical Biology 37 The Annals of Applied Probability 33 Journal of Mathematical Sciences (New York) 32 Transactions of the American Mathematical Society 31 Journal of Statistical Planning and Inference 31 Theoretical Population Biology 30 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 30 Probability Theory and Related Fields 29 Mathematical Notes 28 Queueing Systems 27 Journal of Statistical Physics 27 Ukrainian Mathematical Journal 26 Journal of Theoretical Probability 26 Stochastic Models 21 The Annals of Probability 20 Proceedings of the American Mathematical Society 20 Theoretical Computer Science 20 Methodology and Computing in Applied Probability 19 Linear and Multilinear Algebra 19 Applied Mathematics and Computation 19 Communications in Statistics. Theory and Methods 18 Automatica 17 Journal of Theoretical Biology 16 Stochastic Analysis and Applications 16 Historia Mathematica 16 Bernoulli 15 Computational Statistics and Data Analysis 14 Journal of Statistical Computation and Simulation 13 Israel Journal of Mathematics 13 Theory of Probability and its Applications 13 Czechoslovak Mathematical Journal 13 Journal of Multivariate Analysis 13 European Journal of Operational Research 12 Bulletin of Mathematical Biology 12 Mathematical and Computer Modelling 11 Ergodic Theory and Dynamical Systems 11 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 10 Lithuanian Mathematical Journal 10 Mathematical Proceedings of the Cambridge Philosophical Society 10 Annals of the Institute of Statistical Mathematics 10 Journal of Functional Analysis 10 Journal of Soviet Mathematics 10 Operations Research Letters 10 Annals of Operations Research 10 Quantitative Finance 10 ALEA. Latin American Journal of Probability and Mathematical Statistics 9 Discrete Mathematics 9 International Journal of Control 9 Journal of Approximation Theory 9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 9 Results in Mathematics 9 Siberian Mathematical Journal 9 Systems & Control Letters 9 Statistics 9 Journal of Difference Equations and Applications 9 Probability in the Engineering and Informational Sciences 9 Science China. Mathematics 8 Communications in Mathematical Physics 8 Advances in Mathematics 8 Information Sciences 8 Journal of Econometrics 8 Aequationes Mathematicae 8 Electronic Journal of Probability 8 International Journal of Theoretical and Applied Finance 8 Proceedings of the Steklov Institute of Mathematics 7 Applicable Analysis 7 Journal of Differential Equations 7 Mathematische Nachrichten 7 Advances in Applied Mathematics 7 Journal of Time Series Analysis 7 Statistical Science 7 Discrete Mathematics and Applications 7 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 7 Integral Transforms and Special Functions 7 Abstract and Applied Analysis 7 Extremes 7 Acta Mathematica Sinica. English Series 7 Brazilian Journal of Probability and Statistics 7 Mediterranean Journal of Mathematics 6 Bulletin of the Australian Mathematical Society 6 The Canadian Journal of Statistics 6 Journal of Mathematical Physics 6 Metrika 6 The Annals of Statistics 6 Journal of Economic Theory 6 Journal of Mathematical Economics 6 Mathematische Zeitschrift 6 Acta Mathematica Hungarica 6 Theory of Probability and Mathematical Statistics 6 Opuscula Mathematica 6 Mathematical Population Studies 6 Stochastics 5 Computers & Mathematics with Applications ...and 360 more Serials
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### Cited in 58 Fields

 1,270 Probability theory and stochastic processes (60-XX) 374 Statistics (62-XX) 236 Linear and multilinear algebra; matrix theory (15-XX) 215 Biology and other natural sciences (92-XX) 171 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 170 Operations research, mathematical programming (90-XX) 136 Combinatorics (05-XX) 127 Dynamical systems and ergodic theory (37-XX) 124 Computer science (68-XX) 123 Numerical analysis (65-XX) 108 Ordinary differential equations (34-XX) 104 Partial differential equations (35-XX) 102 Operator theory (47-XX) 99 Real functions (26-XX) 84 Systems theory; control (93-XX) 76 Functional analysis (46-XX) 73 Measure and integration (28-XX) 53 Statistical mechanics, structure of matter (82-XX) 48 Functions of a complex variable (30-XX) 47 History and biography (01-XX) 44 Sequences, series, summability (40-XX) 41 Difference and functional equations (39-XX) 39 Number theory (11-XX) 32 Harmonic analysis on Euclidean spaces (42-XX) 29 Information and communication theory, circuits (94-XX) 23 Integral transforms, operational calculus (44-XX) 22 Approximations and expansions (41-XX) 21 Group theory and generalizations (20-XX) 20 Potential theory (31-XX) 16 Quantum theory (81-XX) 14 Several complex variables and analytic spaces (32-XX) 14 General topology (54-XX) 13 Integral equations (45-XX) 13 Convex and discrete geometry (52-XX) 13 Global analysis, analysis on manifolds (58-XX) 11 Special functions (33-XX) 8 Mathematical logic and foundations (03-XX) 8 Topological groups, Lie groups (22-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 7 Nonassociative rings and algebras (17-XX) 7 Abstract harmonic analysis (43-XX) 7 Manifolds and cell complexes (57-XX) 6 Associative rings and algebras (16-XX) 5 Geometry (51-XX) 4 General and overarching topics; collections (00-XX) 4 Mechanics of deformable solids (74-XX) 3 Algebraic geometry (14-XX) 3 Differential geometry (53-XX) 3 Mechanics of particles and systems (70-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Fluid mechanics (76-XX) 2 Relativity and gravitational theory (83-XX) 2 Geophysics (86-XX) 1 General algebraic systems (08-XX) 1 Field theory and polynomials (12-XX) 1 Category theory; homological algebra (18-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX)

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