## Nikitin, Yakov Yu.

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 Author ID: nikitin.yakov-yu Published as: Nikitin, Ya. Yu.; Nikitin, Yakov; Nikitin, Yakov Yu.; Nikitin, Y.; Nikitin, Ya Yu; Nikitin, Y. Y.; Nikitin, Ya. more...less External Links: ORCID
 Documents Indexed: 129 Publications since 1971, including 3 Books Co-Authors: 51 Co-Authors with 60 Joint Publications 1,837 Co-Co-Authors
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### Co-Authors

 53 single-authored 8 Nazarov, Alexander I. 7 Volkova, Ksenia Yu. 4 Henze, Norbert 4 Lifshits, Mikhail A. 4 Orsingher, Enzo 3 Durio, Alessandra 3 Ibragimov, Il’dar Abdullovich 3 Litvinova, V. V. 3 Milošević, Bojana 3 Obradović, Marko 3 Ponikarov, E. V. 3 Ragozin, I. A. 3 Stepanova, Natalia A. 3 Tchirina, Anna V. 3 Zaitsev, Andrei Yu. 2 Beghin, Luisa 2 Benson, Ya. E. 2 Conti, Pier Luigi 2 Kopylev, L. Yu. 2 Pankrashova, A. G. 1 Ahsanullah, Mohammad 1 Allison, James Samuel 1 Bickel, Peter John 1 Bookiya, G. T. 1 Borodin, Andreĭ Nikolaevich 1 Borovkov, Aleksandr Alekseevich 1 Božin, Vladimir 1 Butorina, Yu. O. 1 Cuparić, Marija 1 Ebner, Bruno 1 Ermakov, Mikhaĭl Sergeevich 1 Gamov, I. V. 1 Golubev, Yuriĭ K. 1 Jovanović, Milan V. 1 Kagan, Abram Meerovich 1 Karakulov, M. S. 1 Karol’, Andrei I. 1 Kharinskiĭ, P. A. 1 Kirichenko, Alisa A. 1 Koroleva, E. V. 1 Kutoyants, Yury A. 1 Leonov, Gennadiĭ Alekseevich 1 Lepskiĭ, Oleg Vital’evich 1 Muliere, Pietro 1 Nesterenko, Yuriĭ Valentinovich 1 Nevzorov, B. B. 1 Novikov, Sergeĭ Petrovich 1 Peaucelle, Irina 1 Petrov, Valentin Vladimirovich 1 Pilyugin, Sergei Yu. 1 Prokhorov, Yuriĭ Vasil’evich 1 Pusev, R. S. 1 Rao, Calyampudi Radhakrishna 1 Saidou, Barry 1 Santana, Leonard 1 Scüdou, Barry 1 Shepp, Lawrence Alan 1 Shiryaev, Al’bert Nikolaevich 1 Simarova, Ekaterina Nikolaevna 1 Spokoiny, Vladimir G. 1 Sporysheva, P. P. 1 Sudakov, Vladimir Nikolaevich 1 Tsybakov, Alexandre B. 1 Zinger, Abram Aronovich
all top 5

### Serials

 15 Journal of Mathematical Sciences (New York) 14 Journal of Soviet Mathematics 13 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova 7 Vestnik St. Petersburg University. Mathematics 6 Zapiski Nauchnykh Seminarov POMI 5 Theory of Probability and its Applications 4 Statistics & Probability Letters 4 Mathematical Methods of Statistics 3 Journal of Statistical Planning and Inference 3 Soviet Mathematics. Doklady 3 Journal of Nonparametric Statistics 2 Russian Mathematical Surveys 2 Vestnik Leningradskogo Universiteta. Matematika, Mekhanika, Astronomiya 2 Metron 2 Statistica 2 Communications in Statistics. Theory and Methods 2 Computational Statistics and Data Analysis 2 Journal of the Italian Statistical Society 1 Metrika 1 Teoriya Veroyatnosteĭ i eë Primeneniya 1 Annals of the Institute of Statistical Mathematics 1 Journal of Applied Probability 1 Journal of Multivariate Analysis 1 Transactions of the American Mathematical Society 1 Probability Theory and Related Fields 1 Journal of Theoretical Probability 1 Applications of Mathematics 1 Journal of Statistical Computation and Simulation 1 Vestnik Leningrad University. Mathematics 1 Georgian Mathematical Journal 1 Bernoulli 1 Doklady Mathematics 1 Journal of Applied Statistics 1 Acta et Commentationes Universitatis Tartuensis de Mathematica 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Central European Journal of Mathematics 1 Lithuanian Mathematical Transactions of the Academy of Sciences of the Lithuanian SSR 1 Mathematics
all top 5

### Fields

 102 Statistics (62-XX) 63 Probability theory and stochastic processes (60-XX) 7 History and biography (01-XX) 3 Operator theory (47-XX) 2 General and overarching topics; collections (00-XX) 2 Integral equations (45-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

### Citations contained in zbMATH Open

88 Publications have been cited 574 times in 206 Documents Cited by Year
Asymptotic efficiency of nonparametric tests. Zbl 0879.62045
Nikitin, Yakov
1995
Exact $$L_2$$-small ball behavior of integrated Gaussian processes and spectral asymptotics of boundary value problems. Zbl 1051.60041
Nazarov, A. I.; Nikitin, Ya. Yu.
2004
Small ball probabilities for Gaussian random fields and tensor products of compact operators. Zbl 1136.60024
Karol’, Andrei; Nazarov, Alexander; Nikitin, Yakov
2008
Bahadur efficiency and local optimality of a test for the exponential distribution based on the Gini statistic. Zbl 1417.62117
Nikitin, Ya. Yu.; Tchirina, A. V.
1996
Large deviations of U-empirical Kolmogorov-Smirnov tests and their efficiency. Zbl 1210.62048
Nikitin, Ya. Yu.
2010
A new approach to goodness-of-fit testing based on the integrated empirical process. Zbl 0945.62051
Henze, N.; Nikitin, Ya. Yu.
2000
Asymptotic efficiency of nonparametric criteria. (Asimptoticheskaya ehffektivnost’ neparametricheskikh kriteriev.) Zbl 0879.62044
Nikitin, Ya. Yu.
1995
Tests of exponentiality based on Arnold-Villasenor characterization and their efficiencies. Zbl 1468.62095
Jovanović, Milan; Milošević, Bojana; Nikitin, Ya. Yu.; Obradović, Marko; Volkova, K. Yu.
2015
Asymptotic efficiency of exponentiality tests based on order statistics characterization. Zbl 1205.62052
Nikitin, Ya. Yu.; Volkova, Ksenia Yu.
2010
Efficiency and local optimality of nonparametric tests based on U- and V-statistics. Zbl 1416.62253
Nikitin, Yakov Y.; Peaucelle, Irina
2004
Two-sample tests based on the integrated empirical process. Zbl 1184.62068
Henze, Norbert; Nikitin, Ya. Yu.
2003
Bahadur efficiency of a test of exponentiality based on a loss-of-memory type functional equation. Zbl 0866.62021
Nikitin, Ya. Yu.
1996
Local Bahadur efficiency of some goodness-of-fit tests under skew alternatives. Zbl 1041.62036
Durio, A.; Nikitin, Ya. Yu.
2003
Rough asymptotics of probabilities of Chernoff type large deviations for von Mises functionals and $$U$$-statistics. Zbl 1213.60056
Nikitin, Ya. Yu.; Ponikarov, E. V.
2001
On sojourn distributions of processes related to some higher-order heat-type equations. Zbl 0993.60042
Nikitin, Y.; Orsingher, E.
2000
Watson-type goodness-of-fit tests based on the integrated empirical process. Zbl 1005.62050
Henze, N.; Nikitin, Ya. Yu.
2002
Local Bahadur optimality and characterization problems. Zbl 0537.62018
Nikitin, Ya. Yu.
1984
Logarithmic $$L_2$$-small ball asymptotics for some fractional Gaussian processes. Zbl 1107.60014
Nazarov, A. I.; Nikitin, Ya. Yu.
2005
New $$U$$-empirical tests of symmetry based on extremal order statistics, and their efficiencies. Zbl 1320.62103
Nikitin, Ya. Yu.; Ahsanullah, M.
2015
Exponentiality tests based on Ahsanullah’s characterization and their efficiency. Zbl 1335.62082
Volkova, K. Yu.; Nikitin, Ya. Yu.
2015
Exact small deviation asymptotics for some Brownian functionals. Zbl 1278.60072
Nikitin, Ya. Yu.; Pusev, R. S.
2013
Scale-invariant test of normality based on Polya’s characterization. Zbl 1020.62039
Muliere, P.; Nikitin, Ya.
2002
Asymptotic efficiency of independence tests based on Gini’s rank association coefficient, Spearman’s footrule and their generalizations. Zbl 0927.62058
Conti, Pier Luigi; Nikitin, Yakov
1999
A class of count models and a new consistent test for the Poisson distribution. Zbl 1146.62324
Meintanis, S. G.; Nikitin, Ya. Yu.
2008
On the Hodges-Lehmann asymptotic efficiency of nonparametric tests of goodness of fit and homogeneity. Zbl 0642.62032
Nikitin, Ya. Yu.
1987
Tests based on characterizations, and their efficiencies: a survey. Zbl 1372.60022
Nikitin, Ya. Yu.
2017
Lilliefors test for exponentiality: large deviations, asymptotic efficiency, and conditions of local optimality. Zbl 1283.62036
Nikitin, Ya. Yu.; Tchirina, A. V.
2007
Asymptotic efficiency of nonparametric tests. Reprint of the 1995 hardback ed. Zbl 1171.62031
Nikitin, Yakov
2009
On the combination of the sign and Maesono tests for symmetry and its efficiency. Zbl 1116.62049
Burgio, G.; Nikitin, Ya. Yu.
2003
Integral distribution-free statistics of $$L_p$$-type and their asymptotic comparison. Zbl 1453.62109
Henze, Norbert; Nikitin, Yakov; Ebner, Bruno
2009
$$U$$-max-statistics and limit theorems for perimeters and areas of random polygons. Zbl 1293.60032
Koroleva, E. V.; Nikitin, Ya. Yu.
2014
New characterization-based symmetry tests. Zbl 1431.62183
2020
Sharp small ball asymptotics for Slepian and Watson processes in Hilbert norm. Zbl 1084.60023
Nikitin, Ya. Yu.; Orsingher, E.
2004
On asymptotic efficiency of tests of fit based on the Deheuvels empirical process. Zbl 1274.62325
Nikitin, Ya. Yu.; Sporysheva, P. P.
2009
Large deviations and asymptotic efficiency of integral type statistics. I. Zbl 0421.62030
Nikitin, Ya. Yu.
1979
On the asymptotic efficiency of normality tests based on the Shepp property. Zbl 1183.62080
Volkova, K. Yu.; Nikitin, Ya. Yu.
2009
Large deviations of Chernoff type for $$U$$- and $$V$$-statistics. Zbl 1041.60027
Nikitin, Ya. Yu.; Ponikarov, E. V.
1999
Hodges-Lehmann efficiency of nonparametric tests. Zbl 0666.62049
Nikitin, Ya. Yu.
1987
Local efficiency of integrated goodness-of-fit tests under skew alternatives. Zbl 1345.62075
Durio, A.; Nikitin, Ya. Yu.
2016
Efficiency of exponentiality tests based on a special property of exponential distribution. Zbl 1345.60019
Nikitin, Ya. Yu.; Volkova, K. Yu.
2016
The combination of the sign and Wilcoxon tests for symmetry and their Pitman efficiency. Zbl 1012.62046
Burgio, G.; Nikitin, Ya. Yu.
2001
Large deviations and asymptotic efficiency of a statistic of integral type. II. Zbl 0599.62060
Nikitin, Ya. Yu.
1984
Local asymptotic Bahadur optimality and characterization problems. Zbl 0576.62033
Nikitin, Ya. Yu.
1985
On Baringhaus-Henze test for symmetry: Bahadur efficiency and local optimality for shift alternatives. Zbl 0859.62045
Nikitin, Ya. Yu.
1996
The intermediate arc-sine law. Zbl 0959.60078
Nikitin, Yakov; Orsingher, Enzo
2000
Bahadur efficiency and local asymptotic optimality of certain nonparametric tests for independence. Zbl 0900.62238
Nikitin, Ya. Yu.; Pankrashova, A. G.
1988
Goodness-of-fit tests for the power function distribution based on the Puri-Rubin characterization and their efficiences. Zbl 1305.62184
Volkova, K. Yu.; Nikitin, Ya. Yu.
2014
Large deviations and the asymptotic efficiency of statistics of the integral type. II. Zbl 0486.62045
Nikitin, Ya. Yu.
1980
On small deviation asymptotics in $$L_2$$ of some mixed Gaussian processes. Zbl 1391.60070
Nazarov, Alexander I.; Nikitin, Yakov Yu.
2018
Some consistent exponentiality tests based on Puri-Rubin and Desu characterizations. Zbl 07217108
Cuparić, Marija; Milošević, Bojana; Nikitin, Yakov Yu.; Obradović, Marko
2020
Tail behavior of anisotropic norms for Gaussian random fields. Zbl 1023.60047
Lifshits, Mikhail; Nazarov, Alexander; Nikitin, Yakov
2003
On asymptotic efficiency of certain distribution-free symmetry tests under skew alternatives. Zbl 1330.62212
Durio, Alessandra; Nikitin, Yakov Yu.
2002
Bahadur asymptotic efficiency of integral tests for symmetry. Zbl 0599.62059
Nikitin, Ya. Yu.
1984
Asymptotic efficiency and local optimality of tests based on two-sample $$U$$-and $$V$$-statistics. Zbl 1288.62070
Litvinova, V. V.; Nikitin, Ya. Yu.
2008
Precise small deviations in $$L_2$$ of some Gaussian processes appearing in the regression context. Zbl 1322.60036
Kirichenko, Alisa A.; Nikitin, Ya. Yu.
2014
Hodges-Lehmann and Chernoff efficiencies of linear rank statistics. Zbl 0763.62028
Nikitin, Ya. Yu.
1991
The asymptotic Bahadur efficiency for criteria of the $$omega^ 2-$$type in case of several samples. Zbl 0467.62045
Nikitin, Ya. Yu.
1980
Two families of normality tests based on Polya characterization, and their efficiency. Zbl 1088.62060
Litvinova, V. V.; Nikitin, Ya. Yu.
2005
The characterization of distributions by the property of local asymptotic optimality of test statistics. Zbl 0479.62032
Nikitin, Ya. Yu.
1981
Chernoff efficiency of the sign and Wilcoxon tests for testing the symmetry hypothesis. Zbl 0784.62039
Nikitin, Ya. Yu.
1989
Pitman efficiency of independence tests based on weighted rank statistics. Zbl 1106.62330
Nikitin, Ya. Yu.; Stepanova, N. A.
2001
How the sojourn time distributions of Brownian motion are affected by different forms of conditioning. Zbl 1116.60347
Beghin, L.; Nikitin, Y.; Orsingher, E.
2003
Estimates of the rate of convergence of some limit theorems and statistical criteria. Zbl 0254.62016
Nikitin, Ya. Yu.
1972
On the asymptotic behaviour of certain nonparametric statistics in the case of random sample size. Zbl 0302.62019
Nikitin, Ya. Yu.
1974
Some extremal problems for Gaussian and empirical random fields. Zbl 1023.60031
Nazarov, A. I.; Nikitin, Ya. Yu.
2002
Characterization of distributions by the local asymptotic optimality property of test statistics. Zbl 0528.62039
Nikitin, Ya. Yu.
1984
The asymptotic Bahadur efficiency for integral tests of symmetry. Zbl 0541.62032
Nikitin, Ya. Yu.
1982
Limit distributions and comparative asymptotic efficiency of the Smirnov- Kolmogorov statistics with a random index. Zbl 0485.62018
Nikitin, Ya. Yu.
1981
Kolmogorov tests of normality based on some variants of Polya’s characterization. Zbl 1358.62047
Litvinova, V. V.; Nikitin, Ya. Yu.
2016
Toward the history of the Saint St. Petersburg school of probability and statistics. I: Limit theorems for sums of independent random variables. Zbl 1401.60002
Lifshits, M. A.; Nikitin, Ya. Yu.; Petrov, V. V.; Zaitsev, A. Yu.; Zinger, A. A.
2018
Goodness-of-fit tests based on a characterization of logistic distribution. Zbl 1435.62289
Nikitin, Ya. Yu.; Ragozin, I. A.
2019
Asymptotic efficiency of Maesono statistics for testing of symmetry. Zbl 1012.62050
Nikitin, Ya. Yu.; Ponikarov, E. V.
2002
Local Chernoff and Hodges-Lehmann efficiencies of linear rank tests for symmetry. Zbl 0836.62035
Nikitin, Ya. Yu.
1990
A generalization of Kendall’s tau and the asymptotic efficiency of the corresponding independence test. Zbl 1163.62333
Nikitin, Ya. Yu.; Stepanova, N. A.
1997
Bahadur relative asymptotic efficiency of statistics based on the empirical distribution function. Zbl 0406.62030
Nikitin, Ya. Yu.
1976
Goodness-of-fit tests for normal distribution of order $$p$$ and their asymptotic efficiency. Zbl 0920.62022
Burgio, G.; Nikitin, Y.
1998
Limit distributions and Bahadur efficiencies for Kolmogorov-Smirnov-type statistics with random indices. Zbl 0349.62011
Nikitin, Ya. Yu.
1976
On conditions of Chernoff local asymptotic optimality of some nonparametric symmetry tests. Zbl 0852.62043
Kopylev, L. Yu.; Nikitin, Ya. Yu.
1993
A test of exponentiality versus alternatives containing the RNBUE class derived from the Laplace empirical transform. Zbl 1111.62093
Meintanis, S.; Nikitin, Ya. Yu.; Tchirina, A. V.
2006
On the rate of convergence in some limit theorems with a random index. Zbl 0341.60011
Nikitin, Ya. Yu.
1975
Sharp asymptotics of small deviations in the $$L_2$$-norm for a class of Gaussian processes. Zbl 1079.60035
Nikitin, Ya. Yu.; Kharinskij, P. A.
2004
Asymptotic comparison of a class of nonparametric tests with the Student test. Zbl 0548.62032
Nikitin, Ya. Yu.
1984
Local asymptotic Chernoff-Hodges-Lehmann efficiency of linear rank criteria of symmetry. Zbl 0739.62035
Nikitin, Ya. Yu.
1990
Large deviations and asymptotic efficiency of statistics of integral type. I. Zbl 0493.62046
Nikitin, Ya. Yu.
1982
Large deviations and asymptotic efficiency of integral statistics for testing independence. Zbl 0663.62056
Nikitin, Ya. Yu.
1987
The Bahadur efficiency and local asymptotic optimality of some non- parametric tests of independence. Zbl 0688.62032
Nikitin, Ya. Yu.; Pankrashova, A. G.
1988
Local exact Bahadur efficiencies of two scale-free tests of normality based on a recent characterization. Zbl 1403.62073
Nikitin, Ya. Yu.
2018
Asymptotic efficiency of new distribution-free tests of symmetry for generalized skew alternatives. Zbl 1388.62126
Bookiya, G. T.; Nikitin, Ya. Yu.
2018
New characterization-based symmetry tests. Zbl 1431.62183
2020
Some consistent exponentiality tests based on Puri-Rubin and Desu characterizations. Zbl 07217108
Cuparić, Marija; Milošević, Bojana; Nikitin, Yakov Yu.; Obradović, Marko
2020
Goodness-of-fit tests based on a characterization of logistic distribution. Zbl 1435.62289
Nikitin, Ya. Yu.; Ragozin, I. A.
2019
On small deviation asymptotics in $$L_2$$ of some mixed Gaussian processes. Zbl 1391.60070
Nazarov, Alexander I.; Nikitin, Yakov Yu.
2018
Toward the history of the Saint St. Petersburg school of probability and statistics. I: Limit theorems for sums of independent random variables. Zbl 1401.60002
Lifshits, M. A.; Nikitin, Ya. Yu.; Petrov, V. V.; Zaitsev, A. Yu.; Zinger, A. A.
2018
Local exact Bahadur efficiencies of two scale-free tests of normality based on a recent characterization. Zbl 1403.62073
Nikitin, Ya. Yu.
2018
Asymptotic efficiency of new distribution-free tests of symmetry for generalized skew alternatives. Zbl 1388.62126
Bookiya, G. T.; Nikitin, Ya. Yu.
2018
Tests based on characterizations, and their efficiencies: a survey. Zbl 1372.60022
Nikitin, Ya. Yu.
2017
Local efficiency of integrated goodness-of-fit tests under skew alternatives. Zbl 1345.62075
Durio, A.; Nikitin, Ya. Yu.
2016
Efficiency of exponentiality tests based on a special property of exponential distribution. Zbl 1345.60019
Nikitin, Ya. Yu.; Volkova, K. Yu.
2016
Kolmogorov tests of normality based on some variants of Polya’s characterization. Zbl 1358.62047
Litvinova, V. V.; Nikitin, Ya. Yu.
2016
Tests of exponentiality based on Arnold-Villasenor characterization and their efficiencies. Zbl 1468.62095
Jovanović, Milan; Milošević, Bojana; Nikitin, Ya. Yu.; Obradović, Marko; Volkova, K. Yu.
2015
New $$U$$-empirical tests of symmetry based on extremal order statistics, and their efficiencies. Zbl 1320.62103
Nikitin, Ya. Yu.; Ahsanullah, M.
2015
Exponentiality tests based on Ahsanullah’s characterization and their efficiency. Zbl 1335.62082
Volkova, K. Yu.; Nikitin, Ya. Yu.
2015
$$U$$-max-statistics and limit theorems for perimeters and areas of random polygons. Zbl 1293.60032
Koroleva, E. V.; Nikitin, Ya. Yu.
2014
Goodness-of-fit tests for the power function distribution based on the Puri-Rubin characterization and their efficiences. Zbl 1305.62184
Volkova, K. Yu.; Nikitin, Ya. Yu.
2014
Precise small deviations in $$L_2$$ of some Gaussian processes appearing in the regression context. Zbl 1322.60036
Kirichenko, Alisa A.; Nikitin, Ya. Yu.
2014
Exact small deviation asymptotics for some Brownian functionals. Zbl 1278.60072
Nikitin, Ya. Yu.; Pusev, R. S.
2013
Large deviations of U-empirical Kolmogorov-Smirnov tests and their efficiency. Zbl 1210.62048
Nikitin, Ya. Yu.
2010
Asymptotic efficiency of exponentiality tests based on order statistics characterization. Zbl 1205.62052
Nikitin, Ya. Yu.; Volkova, Ksenia Yu.
2010
Asymptotic efficiency of nonparametric tests. Reprint of the 1995 hardback ed. Zbl 1171.62031
Nikitin, Yakov
2009
Integral distribution-free statistics of $$L_p$$-type and their asymptotic comparison. Zbl 1453.62109
Henze, Norbert; Nikitin, Yakov; Ebner, Bruno
2009
On asymptotic efficiency of tests of fit based on the Deheuvels empirical process. Zbl 1274.62325
Nikitin, Ya. Yu.; Sporysheva, P. P.
2009
On the asymptotic efficiency of normality tests based on the Shepp property. Zbl 1183.62080
Volkova, K. Yu.; Nikitin, Ya. Yu.
2009
Small ball probabilities for Gaussian random fields and tensor products of compact operators. Zbl 1136.60024
Karol&rsquo;, Andrei; Nazarov, Alexander; Nikitin, Yakov
2008
A class of count models and a new consistent test for the Poisson distribution. Zbl 1146.62324
Meintanis, S. G.; Nikitin, Ya. Yu.
2008
Asymptotic efficiency and local optimality of tests based on two-sample $$U$$-and $$V$$-statistics. Zbl 1288.62070
Litvinova, V. V.; Nikitin, Ya. Yu.
2008
Lilliefors test for exponentiality: large deviations, asymptotic efficiency, and conditions of local optimality. Zbl 1283.62036
Nikitin, Ya. Yu.; Tchirina, A. V.
2007
A test of exponentiality versus alternatives containing the RNBUE class derived from the Laplace empirical transform. Zbl 1111.62093
Meintanis, S.; Nikitin, Ya. Yu.; Tchirina, A. V.
2006
Logarithmic $$L_2$$-small ball asymptotics for some fractional Gaussian processes. Zbl 1107.60014
Nazarov, A. I.; Nikitin, Ya. Yu.
2005
Two families of normality tests based on Polya characterization, and their efficiency. Zbl 1088.62060
Litvinova, V. V.; Nikitin, Ya. Yu.
2005
Exact $$L_2$$-small ball behavior of integrated Gaussian processes and spectral asymptotics of boundary value problems. Zbl 1051.60041
Nazarov, A. I.; Nikitin, Ya. Yu.
2004
Efficiency and local optimality of nonparametric tests based on U- and V-statistics. Zbl 1416.62253
Nikitin, Yakov Y.; Peaucelle, Irina
2004
Sharp small ball asymptotics for Slepian and Watson processes in Hilbert norm. Zbl 1084.60023
Nikitin, Ya. Yu.; Orsingher, E.
2004
Sharp asymptotics of small deviations in the $$L_2$$-norm for a class of Gaussian processes. Zbl 1079.60035
Nikitin, Ya. Yu.; Kharinskij, P. A.
2004
Two-sample tests based on the integrated empirical process. Zbl 1184.62068
Henze, Norbert; Nikitin, Ya. Yu.
2003
Local Bahadur efficiency of some goodness-of-fit tests under skew alternatives. Zbl 1041.62036
Durio, A.; Nikitin, Ya. Yu.
2003
On the combination of the sign and Maesono tests for symmetry and its efficiency. Zbl 1116.62049
Burgio, G.; Nikitin, Ya. Yu.
2003
Tail behavior of anisotropic norms for Gaussian random fields. Zbl 1023.60047
Lifshits, Mikhail; Nazarov, Alexander; Nikitin, Yakov
2003
How the sojourn time distributions of Brownian motion are affected by different forms of conditioning. Zbl 1116.60347
Beghin, L.; Nikitin, Y.; Orsingher, E.
2003
Watson-type goodness-of-fit tests based on the integrated empirical process. Zbl 1005.62050
Henze, N.; Nikitin, Ya. Yu.
2002
Scale-invariant test of normality based on Polya’s characterization. Zbl 1020.62039
Muliere, P.; Nikitin, Ya.
2002
On asymptotic efficiency of certain distribution-free symmetry tests under skew alternatives. Zbl 1330.62212
Durio, Alessandra; Nikitin, Yakov Yu.
2002
Some extremal problems for Gaussian and empirical random fields. Zbl 1023.60031
Nazarov, A. I.; Nikitin, Ya. Yu.
2002
Asymptotic efficiency of Maesono statistics for testing of symmetry. Zbl 1012.62050
Nikitin, Ya. Yu.; Ponikarov, E. V.
2002
Rough asymptotics of probabilities of Chernoff type large deviations for von Mises functionals and $$U$$-statistics. Zbl 1213.60056
Nikitin, Ya. Yu.; Ponikarov, E. V.
2001
The combination of the sign and Wilcoxon tests for symmetry and their Pitman efficiency. Zbl 1012.62046
Burgio, G.; Nikitin, Ya. Yu.
2001
Pitman efficiency of independence tests based on weighted rank statistics. Zbl 1106.62330
Nikitin, Ya. Yu.; Stepanova, N. A.
2001
A new approach to goodness-of-fit testing based on the integrated empirical process. Zbl 0945.62051
Henze, N.; Nikitin, Ya. Yu.
2000
On sojourn distributions of processes related to some higher-order heat-type equations. Zbl 0993.60042
Nikitin, Y.; Orsingher, E.
2000
The intermediate arc-sine law. Zbl 0959.60078
Nikitin, Yakov; Orsingher, Enzo
2000
Asymptotic efficiency of independence tests based on Gini’s rank association coefficient, Spearman’s footrule and their generalizations. Zbl 0927.62058
Conti, Pier Luigi; Nikitin, Yakov
1999
Large deviations of Chernoff type for $$U$$- and $$V$$-statistics. Zbl 1041.60027
Nikitin, Ya. Yu.; Ponikarov, E. V.
1999
Goodness-of-fit tests for normal distribution of order $$p$$ and their asymptotic efficiency. Zbl 0920.62022
Burgio, G.; Nikitin, Y.
1998
A generalization of Kendall’s tau and the asymptotic efficiency of the corresponding independence test. Zbl 1163.62333
Nikitin, Ya. Yu.; Stepanova, N. A.
1997
Bahadur efficiency and local optimality of a test for the exponential distribution based on the Gini statistic. Zbl 1417.62117
Nikitin, Ya. Yu.; Tchirina, A. V.
1996
Bahadur efficiency of a test of exponentiality based on a loss-of-memory type functional equation. Zbl 0866.62021
Nikitin, Ya. Yu.
1996
On Baringhaus-Henze test for symmetry: Bahadur efficiency and local optimality for shift alternatives. Zbl 0859.62045
Nikitin, Ya. Yu.
1996
Asymptotic efficiency of nonparametric tests. Zbl 0879.62045
Nikitin, Yakov
1995
Asymptotic efficiency of nonparametric criteria. (Asimptoticheskaya ehffektivnost’ neparametricheskikh kriteriev.) Zbl 0879.62044
Nikitin, Ya. Yu.
1995
On conditions of Chernoff local asymptotic optimality of some nonparametric symmetry tests. Zbl 0852.62043
Kopylev, L. Yu.; Nikitin, Ya. Yu.
1993
Hodges-Lehmann and Chernoff efficiencies of linear rank statistics. Zbl 0763.62028
Nikitin, Ya. Yu.
1991
Local Chernoff and Hodges-Lehmann efficiencies of linear rank tests for symmetry. Zbl 0836.62035
Nikitin, Ya. Yu.
1990
Local asymptotic Chernoff-Hodges-Lehmann efficiency of linear rank criteria of symmetry. Zbl 0739.62035
Nikitin, Ya. Yu.
1990
Chernoff efficiency of the sign and Wilcoxon tests for testing the symmetry hypothesis. Zbl 0784.62039
Nikitin, Ya. Yu.
1989
Bahadur efficiency and local asymptotic optimality of certain nonparametric tests for independence. Zbl 0900.62238
Nikitin, Ya. Yu.; Pankrashova, A. G.
1988
The Bahadur efficiency and local asymptotic optimality of some non- parametric tests of independence. Zbl 0688.62032
Nikitin, Ya. Yu.; Pankrashova, A. G.
1988
On the Hodges-Lehmann asymptotic efficiency of nonparametric tests of goodness of fit and homogeneity. Zbl 0642.62032
Nikitin, Ya. Yu.
1987
Hodges-Lehmann efficiency of nonparametric tests. Zbl 0666.62049
Nikitin, Ya. Yu.
1987
Large deviations and asymptotic efficiency of integral statistics for testing independence. Zbl 0663.62056
Nikitin, Ya. Yu.
1987
Local asymptotic Bahadur optimality and characterization problems. Zbl 0576.62033
Nikitin, Ya. Yu.
1985
Local Bahadur optimality and characterization problems. Zbl 0537.62018
Nikitin, Ya. Yu.
1984
Large deviations and asymptotic efficiency of a statistic of integral type. II. Zbl 0599.62060
Nikitin, Ya. Yu.
1984
Bahadur asymptotic efficiency of integral tests for symmetry. Zbl 0599.62059
Nikitin, Ya. Yu.
1984
Characterization of distributions by the local asymptotic optimality property of test statistics. Zbl 0528.62039
Nikitin, Ya. Yu.
1984
Asymptotic comparison of a class of nonparametric tests with the Student test. Zbl 0548.62032
Nikitin, Ya. Yu.
1984
The asymptotic Bahadur efficiency for integral tests of symmetry. Zbl 0541.62032
Nikitin, Ya. Yu.
1982
Large deviations and asymptotic efficiency of statistics of integral type. I. Zbl 0493.62046
Nikitin, Ya. Yu.
1982
The characterization of distributions by the property of local asymptotic optimality of test statistics. Zbl 0479.62032
Nikitin, Ya. Yu.
1981
Limit distributions and comparative asymptotic efficiency of the Smirnov- Kolmogorov statistics with a random index. Zbl 0485.62018
Nikitin, Ya. Yu.
1981
Large deviations and the asymptotic efficiency of statistics of the integral type. II. Zbl 0486.62045
Nikitin, Ya. Yu.
1980
The asymptotic Bahadur efficiency for criteria of the $$omega^ 2-$$type in case of several samples. Zbl 0467.62045
Nikitin, Ya. Yu.
1980
Large deviations and asymptotic efficiency of integral type statistics. I. Zbl 0421.62030
Nikitin, Ya. Yu.
1979
Bahadur relative asymptotic efficiency of statistics based on the empirical distribution function. Zbl 0406.62030
Nikitin, Ya. Yu.
1976
Limit distributions and Bahadur efficiencies for Kolmogorov-Smirnov-type statistics with random indices. Zbl 0349.62011
Nikitin, Ya. Yu.
1976
On the rate of convergence in some limit theorems with a random index. Zbl 0341.60011
Nikitin, Ya. Yu.
1975
On the asymptotic behaviour of certain nonparametric statistics in the case of random sample size. Zbl 0302.62019
Nikitin, Ya. Yu.
1974
Estimates of the rate of convergence of some limit theorems and statistical criteria. Zbl 0254.62016
Nikitin, Ya. Yu.
1972
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