# zbMATH — the first resource for mathematics

Compute Distance To:
 Documents Indexed: 53 Publications since 1971, including 1 Book Reviewing Activity: 30 Reviews Biographic References: 1 Publication
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#### Co-Authors

 27 single-authored 3 Einmahl, John H. J. 3 Weil, Wolfgang 2 Haywood, John 2 Koul, Hira Lal 2 Nikabadze, A. M. 2 Parsadanishvili, Eh. G. 1 Brownrigg, Ray 1 Can, Sami Umut 1 Chitashvili, Revaz Ya. 1 Dumitrescu, Laura 1 Fel’ker, V. M. 1 Kotel’nikova, A. V. 1 Kotel’nikova, V. F. 1 Laeven, Roger J. A. 1 Maniya, G. M. 1 Mnatsakanov, Robert M. 1 Nadareishvili, M. M. 1 Pardzhanadze, A. M. 1 Parsadanishvily, E. 1 Paryanadze, A. M. 1 Shinjikashvili, Eka 1 Toronjadze, N. 1 Tsigroshvili, Z. P.
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#### Serials

 9 Theory of Probability and its Applications 6 The Annals of Statistics 5 Teoriya Veroyatnosteĭ i eë Primeneniya 4 Statistics & Probability Letters 3 Soviet Mathematics. Doklady 2 Advances in Applied Probability 2 Journal of Mathematical Analysis and Applications 2 Annals of the Institute of Statistical Mathematics 2 Soobshcheniya Akademii Nauk Gruzinskoĭ SSR 2 Bernoulli 1 Russian Mathematical Surveys 1 Uspekhi Matematicheskikh Nauk [N. S.] 1 Journal of Applied Probability 1 Journal of Econometrics 1 Statistica Neerlandica 1 Probability Theory and Related Fields 1 Mathematical Methods of Statistics 1 Georgian Mathematical Journal 1 Proceedings of A. Razmadze Mathematical Institute 1 Electronic Journal of Statistics 1 Transactions of A. Razmadze Mathematical Institute
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#### Fields

 46 Statistics (62-XX) 27 Probability theory and stochastic processes (60-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Numerical analysis (65-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Operator theory (47-XX)

#### Citations contained in zbMATH

41 Publications have been cited 428 times in 236 Documents Cited by Year
Martingale approach in the theory of goodness-of-fit tests. Zbl 0481.60055
1982
Martingale transforms goodness-of-fit tests in regression models. Zbl 1092.62052
Khmaladze, Estate V.; Koul, Hira L.
2004
Goodness of fit problem and scanning innovation martingales. Zbl 0801.62043
1993
An innovation approach to goodness-of-fit tests in $$R^ m$$. Zbl 0671.62048
1988
Martingale approach in the theory of goodness-of-fit tests. Zbl 0454.60049
1981
Asymptotic behaviour of a number of repeated records. Zbl 0883.60050
1997
Goodness-of-fit problem for errors in nonparametric regression: distribution free approach. Zbl 1369.62073
Khmaladze, Estate V.; Koul, Hira L.
2009
Calculation of noncrossing probabilities for Poisson processes and its corollaries. Zbl 1158.60365
2001
On the almost sure coverage property of Voronoi tessellation: The $$\mathbb{R}^1$$ case. Zbl 0993.60011
2001
On distribution-free goodness-of-fit testing of exponentiality. Zbl 1418.62196
2008
The two-sample problem in $$\mathbb R^m$$ and measure-valued martingales. Zbl 1373.62191
Einmahl, J. H. J.; Khmaladze, E. V.
2001
Goodness of fit tests for “chimeric” alternatives. Zbl 0953.62042
1998
The use of $$\omega^2$$ tests for testing parametric hypotheses. Zbl 0447.62049
1980
Note on distribution free testing for discrete distributions. Zbl 1294.62095
2013
Asymptotically distribution-free goodness-of-fit testing for tail copulas. Zbl 1312.62072
Can, Sami Umut; Einmahl, John H. J.; Khmaladze, Estate V.; Laeven, Roger J. A.
2015
Unitary transformations, empirical processes and distribution free testing. Zbl 1345.60094
2016
Functional limit theorems for linear statistics from sequential ranks. Zbl 0584.60044
1986
Local empirical processes near boundaries of convex bodies. Zbl 1275.60049
2008
The use of $$\omega^2$$-tests for testing parametric hypotheses. Zbl 0405.62035
1979
Convergence properties in certain occupancy problems including the Karlin-Rouault law. Zbl 1231.62013
2011
Brittle power: On Roman Emperors and exponential lengths of rule. Zbl 1116.62139
Khmaladze, Estate; Brownrigg, Ray; Haywood, John
2007
Differentiation of sets in measure. Zbl 1127.49016
2007
Statistical analysis of a large number of rare events and closely related questions. Zbl 0745.62106
Khmaladze, Eh. V.; Chitashvili, R. Ya.
1989
On the asymptotic theory of statistics of sequential ranks. Zbl 0657.62051
1987
On computing the probability of an empirical process not crossing a curvilinear boundary. Zbl 0516.62050
Kotel’nikova, V. F.; Khmaladze, E. V.
1982
Martingale limit theorems for divisible statistics. Zbl 0543.60042
1984
On $$L_1$$-convergence of statistical kernel estimators of distribution densities. Zbl 0508.60035
Mnatsakanov, R. M.; Khmaladze, Eh. V.
1981
Central limit theorems for local empirical processes near boundaries of sets. Zbl 1248.60030
Einmahl, John H. J.; Khmaladze, Estáte V.
2011
On polynomial distributions with a large number of rare events. Zbl 0798.62021
Khmaladze, E. V.; Tsigroshvili, Z. P.
1993
Distribution free testing for conditional distributions given covariates. Zbl 1379.62036
2017
Differentiation of sets – the general case. Zbl 1339.49016
2014
The martingale limit theorems for divisible statistics. Zbl 0517.60036
1983
Some applications of the theory of martingales in statistics. Zbl 0511.62046
1982
Fold-up derivatives of set-valued functions and the change-set problem: a survey. Zbl 1396.60013
2018
Statistical methods with applications to demography and life insurance. Zbl 1260.62083
2013
On goodness-of-fit tests for parametric hypotheses in $$R^ m$$. Zbl 0637.62020
1987
Renewal fields and the problem of testing simple statistical hypotheses in $$R^ m$$. Zbl 0628.62044
1987
Some applications of the theory of martingales to statistics. Zbl 0523.62046
1982
On the testing of statistical hypothesis for unidentifiable objects. Zbl 0498.62031
1982
A remark on weak convergence of a linear decomposable statistics. Zbl 0469.62033
1980
Estimation of the necessary number of observations for discriminating simple close hypotheses. Zbl 0431.62051
1975
Fold-up derivatives of set-valued functions and the change-set problem: a survey. Zbl 1396.60013
2018
Distribution free testing for conditional distributions given covariates. Zbl 1379.62036
2017
Unitary transformations, empirical processes and distribution free testing. Zbl 1345.60094
2016
Asymptotically distribution-free goodness-of-fit testing for tail copulas. Zbl 1312.62072
Can, Sami Umut; Einmahl, John H. J.; Khmaladze, Estate V.; Laeven, Roger J. A.
2015
Differentiation of sets – the general case. Zbl 1339.49016
2014
Note on distribution free testing for discrete distributions. Zbl 1294.62095
2013
Statistical methods with applications to demography and life insurance. Zbl 1260.62083
2013
Convergence properties in certain occupancy problems including the Karlin-Rouault law. Zbl 1231.62013
2011
Central limit theorems for local empirical processes near boundaries of sets. Zbl 1248.60030
Einmahl, John H. J.; Khmaladze, Estáte V.
2011
Goodness-of-fit problem for errors in nonparametric regression: distribution free approach. Zbl 1369.62073
Khmaladze, Estate V.; Koul, Hira L.
2009
On distribution-free goodness-of-fit testing of exponentiality. Zbl 1418.62196
2008
Local empirical processes near boundaries of convex bodies. Zbl 1275.60049
2008
Brittle power: On Roman Emperors and exponential lengths of rule. Zbl 1116.62139
Khmaladze, Estate; Brownrigg, Ray; Haywood, John
2007
Differentiation of sets in measure. Zbl 1127.49016
2007
Martingale transforms goodness-of-fit tests in regression models. Zbl 1092.62052
Khmaladze, Estate V.; Koul, Hira L.
2004
Calculation of noncrossing probabilities for Poisson processes and its corollaries. Zbl 1158.60365
2001
On the almost sure coverage property of Voronoi tessellation: The $$\mathbb{R}^1$$ case. Zbl 0993.60011
2001
The two-sample problem in $$\mathbb R^m$$ and measure-valued martingales. Zbl 1373.62191
Einmahl, J. H. J.; Khmaladze, E. V.
2001
Goodness of fit tests for “chimeric” alternatives. Zbl 0953.62042
1998
Asymptotic behaviour of a number of repeated records. Zbl 0883.60050
1997
Goodness of fit problem and scanning innovation martingales. Zbl 0801.62043
1993
On polynomial distributions with a large number of rare events. Zbl 0798.62021
Khmaladze, E. V.; Tsigroshvili, Z. P.
1993
Statistical analysis of a large number of rare events and closely related questions. Zbl 0745.62106
Khmaladze, Eh. V.; Chitashvili, R. Ya.
1989
An innovation approach to goodness-of-fit tests in $$R^ m$$. Zbl 0671.62048
1988
On the asymptotic theory of statistics of sequential ranks. Zbl 0657.62051
1987
On goodness-of-fit tests for parametric hypotheses in $$R^ m$$. Zbl 0637.62020
1987
Renewal fields and the problem of testing simple statistical hypotheses in $$R^ m$$. Zbl 0628.62044
1987
Functional limit theorems for linear statistics from sequential ranks. Zbl 0584.60044
1986
Martingale limit theorems for divisible statistics. Zbl 0543.60042
1984
The martingale limit theorems for divisible statistics. Zbl 0517.60036
1983
Martingale approach in the theory of goodness-of-fit tests. Zbl 0481.60055
1982
On computing the probability of an empirical process not crossing a curvilinear boundary. Zbl 0516.62050
Kotel’nikova, V. F.; Khmaladze, E. V.
1982
Some applications of the theory of martingales in statistics. Zbl 0511.62046
1982
Some applications of the theory of martingales to statistics. Zbl 0523.62046
1982
On the testing of statistical hypothesis for unidentifiable objects. Zbl 0498.62031
1982
Martingale approach in the theory of goodness-of-fit tests. Zbl 0454.60049
1981
On $$L_1$$-convergence of statistical kernel estimators of distribution densities. Zbl 0508.60035
Mnatsakanov, R. M.; Khmaladze, Eh. V.
1981
The use of $$\omega^2$$ tests for testing parametric hypotheses. Zbl 0447.62049
1980
A remark on weak convergence of a linear decomposable statistics. Zbl 0469.62033
1980
The use of $$\omega^2$$-tests for testing parametric hypotheses. Zbl 0405.62035
1979
Estimation of the necessary number of observations for discriminating simple close hypotheses. Zbl 0431.62051
1975
all top 5

#### Cited by 291 Authors

 18 Koul, Hira Lal 17 Khmaladze, Estate V. 8 Song, Weixing 7 Stepanov, Aleksei Vasil’evich 5 Delgado, Miguel Ángel 5 Dette, Holger 5 Einmahl, John H. J. 5 Escanciano, Juan Carlos 5 Müller, Ursula U. 4 Kutoyants, Yury A. 4 Mnatsakanov, Robert M. 4 Neumeyer, Natalie 4 Pakes, Anthony G. 4 Schick, Anton 4 Stute, Winfried 4 Sun, Yanqing 4 Surgailis, Donatas 4 Zhu, Lixing 3 Adekpedjou, Akim 3 Aki, Sigeo 3 Balakrishnan, Narayanaswamy 3 Chown, Justin 3 Finner, Helmut 3 Gontscharuk, Veronika 3 Gouet, Raúl 3 Javier López, F. 3 Lee, Sangyeol 3 Li, Yun 3 Nishiyama, Yoichi 3 Peng, Liang 3 Penrose, Mathew D. 3 Sanz, Gerardo 3 Song, Kyungchul 3 Szyszkowicz, Barbara 3 Velasco, Carlos I. Hoyos 3 Weil, Wolfgang 2 Bai, Jushan 2 Balakrishna, Naveen 2 Bayramoğlu, Ismihan G. 2 Bera, Anil K. 2 Bissantz, Nicolai 2 Cabaña, Alejandra 2 Cabaña, Enrique M. 2 Can, Sami Umut 2 Chen, Gemai 2 Chen, Min 2 Devroye, Luc P. J. A. 2 Ditzhaus, Marc 2 Guo, Xu 2 Hashorva, Enkelejd 2 Haywood, John 2 Hidalgo, Javier 2 Hušková, Marie 2 Janssen, Arnold 2 Kim, Jiwoong 2 Kohler, Michael 2 Kordzakhia, Nino E. 2 Kvizhinadze, Giorgi 2 Laeven, Roger J. A. 2 Landwehr, Sandra 2 Li, Gang 2 McKeague, Ian W. 2 Meintanis, Simos G. 2 Moscovich, Amit 2 Nadler, Boaz 2 Nagel, Eva-Renate 2 Nikabadze, A. M. 2 Nikitin, Yakov Yu. 2 Novikov, Aleksandr Aleksandrovich 2 Perera, Indeewara 2 Polonik, Wolfgang 2 Reitzner, Matthias 2 Roberts, Leigh A. 2 Sakhanenko, Lyudmila 2 Tsukuda, Koji 2 Van Keilegom, Ingrid 2 Wefelmeyer, Wolfgang 2 Wu, HaiZhen 2 Yukich, Joseph Elliott 2 Zheng, Xu 2 Zhu, Xiaoqing 1 Abdeddaiem, Maroua Ben 1 Aki, Sueli M. Tanaka 1 Aleksandrov, Boris 1 Allison, James S. 1 Andreou, Elena 1 Arias-Castro, Ery 1 Baillie, Richard T. 1 Barczy, Mátyás 1 Barron, Andrew Roger 1 Benšić, Mirta 1 Berend, Daniel 1 Bickel, Peter John 1 Bilias, Yannis 1 Bott, Ann-Kathrin 1 Bravo, Francesco 1 Brownrigg, Ray 1 Bücher, Axel 1 Calka, Pierre 1 Cao, Ricardo ...and 191 more Authors
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#### Cited in 63 Serials

 29 Statistics & Probability Letters 23 The Annals of Statistics 19 Journal of Statistical Planning and Inference 17 Journal of Econometrics 11 Bernoulli 9 Annals of the Institute of Statistical Mathematics 9 Journal of Multivariate Analysis 7 Communications in Statistics. Theory and Methods 7 Electronic Journal of Statistics 6 Mathematical Methods of Statistics 6 Journal of Nonparametric Statistics 5 Metrika 4 The Canadian Journal of Statistics 4 Computational Statistics and Data Analysis 4 Test 4 Extremes 4 Econometric Theory 3 Lithuanian Mathematical Journal 3 Kybernetika 3 Statistics 3 Transactions of A. Razmadze Mathematical Institute 2 Advances in Applied Probability 2 Journal of Mathematical Analysis and Applications 2 Journal of Soviet Mathematics 2 The Annals of Applied Probability 2 Computational Statistics 2 Stochastic Processes and their Applications 2 Journal of Mathematical Sciences (New York) 2 Lifetime Data Analysis 2 Australian & New Zealand Journal of Statistics 2 Statistical Inference for Stochastic Processes 2 Statistics and Computing 1 Computers & Mathematics with Applications 1 Mathematical Notes 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Scandinavian Journal of Statistics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Biometrical Journal 1 Journal of Applied Probability 1 Mathematica Slovaca 1 Statistica Neerlandica 1 Transactions of the American Mathematical Society 1 Advances in Applied Mathematics 1 Insurance Mathematics & Economics 1 Journal of Time Series Analysis 1 Sequential Analysis 1 Econometric Reviews 1 Economics Letters 1 Applications of Mathematics 1 Communications in Statistics. Simulation and Computation 1 European Journal of Operational Research 1 Journal of Statistical Computation and Simulation 1 Statistical Papers 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 The Econometrics Journal 1 Methodology and Computing in Applied Probability 1 Statistical Methods and Applications 1 Mathematical Geosciences 1 Science China. Mathematics 1 Sankhyā. Series A 1 Sankhyā. Series B 1 Journal of Time Series Econometrics 1 Journal of Econometric Methods
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#### Cited in 18 Fields

 207 Statistics (62-XX) 105 Probability theory and stochastic processes (60-XX) 26 Numerical analysis (65-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Convex and discrete geometry (52-XX) 3 Measure and integration (28-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Differential geometry (53-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX)

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