Asymptotic Analysis for U-Statistics and Its Application to Von Mises Statistics

Timur Zubayraev

doi:10.4236/ojs.2011.13016

Asymptotic Analysis for U-Statistics and Its Application to Von Mises Statistics

Open Journal of Statistics ◽

10.4236/ojs.2011.13016 ◽

2011 ◽

Vol 01 (03) ◽

pp. 139-144

Author(s):

Timur Zubayraev

Keyword(s):

Asymptotic Analysis ◽

U Statistics ◽

Von Mises ◽

Von Mises Statistics

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A Berry–Esseen Type Estimate for Hilbert Space Valued U-Statistics and On Bootstrapping Von Mises Statistics

stochastic processes and functional analysis ◽

10.1201/9781003067597-17 ◽

2020 ◽

pp. 209-214

Author(s):

V.V. Sazonov

Keyword(s):

Hilbert Space ◽

Type Estimate ◽

U Statistics ◽

Von Mises ◽

Von Mises Statistics

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Rate of convergence in the strong law of large numbers for a class of U-statistics and von Mises statistics

Statistics & Probability Letters ◽

10.1016/s0167-7152(96)00034-x ◽

1997 ◽

Vol 31 (3) ◽

pp. 225-231

Author(s):

Tasos C. Christofides

Keyword(s):

Rate Of Convergence ◽

Law Of Large Numbers ◽

Strong Law ◽

U Statistics ◽

Large Numbers ◽

Von Mises ◽

Von Mises Statistics

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A large deviation principle form-variate von Mises-statistics and U-statistics

Journal of Theoretical Probability ◽

10.1007/bf02410113 ◽

1995 ◽

Vol 8 (4) ◽

pp. 807-824 ◽

Cited By ~ 7

Author(s):

Peter Eichelsbacher ◽

Matthias Löwe

Keyword(s):

Large Deviation Principle ◽

Large Deviation ◽

U Statistics ◽

Deviation Principle ◽

Von Mises ◽

Von Mises Statistics

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Stochastic integrals and asymptotic analysis of canonical von Mises statistics based on dependent observations

High Dimensional Probability - Institute of Mathematical Statistics Lecture Notes - Monograph Series ◽

10.1214/074921706000000725 ◽

2006 ◽

pp. 1-17 ◽

Cited By ~ 2

Author(s):

Igor S. Borisov ◽

Alexander A. Bystrov

Keyword(s):

Asymptotic Analysis ◽

Stochastic Integrals ◽

Dependent Observations ◽

Von Mises ◽

Von Mises Statistics

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On U-statistics and von Mises statistics for a special class of Markov chains

Journal of Statistical Planning and Inference ◽

10.1016/0378-3758(92)90165-o ◽

1992 ◽

Vol 30 (3) ◽

pp. 395-400 ◽

Cited By ~ 3

Author(s):

Marius Iosifescu

Keyword(s):

Markov Chains ◽

Special Class ◽

U Statistics ◽

Von Mises ◽

Von Mises Statistics

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Cramer-von Mises Statistics for Testing Normality with Censored Samples

Biometrika ◽

10.2307/2335724 ◽

1976 ◽

Vol 63 (3) ◽

pp. 475 ◽

Cited By ~ 3

Author(s):

A. N. Pettitt

Keyword(s):

Censored Samples ◽

Von Mises ◽

Von Mises Statistics ◽

Cramer Von Mises

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Components of Cramér-Von Mises Statistics. I

Journal of the Royal Statistical Society Series B (Methodological) ◽

10.1111/j.2517-6161.1972.tb00908.x ◽

1972 ◽

Vol 34 (2) ◽

pp. 290-307 ◽

Cited By ~ 7

Author(s):

J. Durbin ◽

M. Knott

Keyword(s):

Von Mises ◽

Von Mises Statistics ◽

Cramer Von Mises

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Cramér–Von Mises Statistics for Discrete Distributions

International Encyclopedia of Statistical Science ◽

10.1007/978-3-642-04898-2_198 ◽

2011 ◽

pp. 323-326

Author(s):

Michael A. Stephens

Keyword(s):

Discrete Distributions ◽

Von Mises ◽

Von Mises Statistics ◽

Cramer Von Mises

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Tests of Symmetry Based on Cramer-von Mises Statistics

Biometrika ◽

10.2307/2345324 ◽

1977 ◽

Vol 64 (3) ◽

pp. 489 ◽

Cited By ~ 1

Author(s):

D. L. Hill ◽

P. V. Rao

Keyword(s):

Von Mises ◽

Von Mises Statistics ◽

Cramer Von Mises

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Orthogonal expansions for the generalized Cram�r-von Mises statistics

Metrika ◽

10.1007/s001840300304 ◽

2004 ◽

Vol 60 (3) ◽

pp. 211-221

Author(s):

Fernando L�pez-Bl�zquez ◽

Antonia Casta�o-Mart�nez

Keyword(s):

Orthogonal Expansions ◽

Von Mises ◽

Von Mises Statistics

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