Complete convergence of triangular arrays and the law of the iterated logarithm for U-statistics

Statistics & Probability Letters ◽

10.1016/0167-7152(89)90115-6 ◽

1989 ◽

Vol 7 (4) ◽

pp. 319-321 ◽

Author(s):

Herold Dehling

Keyword(s):

Complete Convergence ◽

U Statistics ◽

Triangular Arrays ◽

Iterated Logarithm ◽

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On the Limit Set in the Law of the Iterated Logarithm for U-statistics of Order Two

High Dimensional Probability III ◽

10.1007/978-3-0348-8059-6_7 ◽

2004 ◽

pp. 111-126

Author(s):

Stanislaw Kwapień ◽

Rafał Latała ◽

Krzysztof Oleszkiewicz ◽

Joel Zinn

Keyword(s):

Limit Set ◽

U Statistics ◽

Iterated Logarithm ◽

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Precise asymptotics in the law of the iterated logarithm and the complete convergence for uniform empirical process

Statistics & Probability Letters ◽

10.1016/j.spl.2007.09.063 ◽

2008 ◽

Vol 78 (9) ◽

pp. 1051-1055 ◽

Author(s):

Yong Zhang ◽

Xiao-Yun Yang

Keyword(s):

Complete Convergence ◽

Empirical Process ◽

Precise Asymptotics ◽

Iterated Logarithm ◽

The Law ◽

Uniform Empirical Process

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On the Relationship Between the Baum–Katz–Spitzer Complete Convergence Theorem and the Law of the Iterated Logarithm

Acta Mathematica Sinica English Series ◽

10.1007/s10114-005-0908-7 ◽

2007 ◽

Vol 23 (4) ◽

pp. 599-612 ◽

Author(s):

De Li Li ◽

Andrew Rosalsky ◽

Andrei Volodin

Keyword(s):

Convergence Theorem ◽

Complete Convergence ◽

Iterated Logarithm ◽

The Law ◽

The Relationship ◽

Complete Convergence Theorem

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On the law of the iterated logarithm for canonical U-statistics and processes

Stochastic Processes and their Applications ◽

10.1016/0304-4149(94)00023-m ◽

1995 ◽

Vol 58 (2) ◽

pp. 217-245 ◽

Author(s):

Miguel A. Arcones ◽

Evarist Giné

Keyword(s):

U Statistics ◽

Iterated Logarithm ◽

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The Law of the Iterated Logarithm for a Markov Process

The Annals of Mathematical Statistics ◽

10.1214/aoms/1177696971 ◽

1970 ◽

Vol 41 (3) ◽

pp. 945-955 ◽

Author(s):

R. P. Pakshirajan ◽

M. Sreehari

Keyword(s):

Markov Process ◽

Iterated Logarithm ◽

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The Law of the Iterated Logarithm and Probabilities of Moderate Deviations of Sums of Dependent Random Variables

Journal of Mathematical Sciences ◽

10.1007/s10958-020-05072-w ◽

2020 ◽

Vol 251 (1) ◽

pp. 128-130

Author(s):

V. V. Petrov

Keyword(s):

Random Variables ◽

Moderate Deviations ◽

Dependent Random Variables ◽

Iterated Logarithm ◽

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Complete Convergence and the Law of Large Numbers

Proceedings of the National Academy of Sciences ◽

10.1073/pnas.33.2.25 ◽

1947 ◽

Vol 33 (2) ◽

pp. 25-31 ◽

Author(s):

P. L. Hsu ◽

H. Robbins

Keyword(s):

Complete Convergence ◽

Law Of Large Numbers ◽

Large Numbers ◽

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Extreme values and the law of the iterated logarithm

Probability Theory and Related Fields ◽

10.1007/bf00699094 ◽

1987 ◽

Vol 74 (3) ◽

pp. 319-340 ◽

Author(s):

J. Kuelbs ◽

M. Ledoux

Keyword(s):

Extreme Values ◽

Iterated Logarithm ◽

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The law of the Iterated Logarithm for random interval homeomorphisms

Israel Journal of Mathematics ◽

10.1007/s11856-021-2235-9 ◽

2021 ◽

Author(s):

Klaudiusz Czudek ◽

Tomasz Szarek ◽

Hanna Wojewódka-Ściążko

Keyword(s):

Random Interval ◽

Iterated Logarithm ◽

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Complete Convergence and the Law of Large Numbers

Pao-Lu Hsu Collected Papers ◽

10.1007/978-1-4684-9324-5_29 ◽

1983 ◽

pp. 229-240 ◽

Author(s):

P. L. Hsu ◽

Herbert Robbins

Keyword(s):

Complete Convergence ◽

Law Of Large Numbers ◽

Large Numbers ◽

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