Precise Asymptotics in Strong Limit Theorems for Self-normalized Sums of Multidimensionally Indexed Random Variables

Asymptotic Laws and Methods in Stochastics - Fields Institute Communications ◽

10.1007/978-1-4939-3076-0_2 ◽

2015 ◽

pp. 17-41

Author(s):

Dianliang Deng ◽

Zhitao Hu

Keyword(s):

Limit Theorems ◽

Random Variables ◽

Precise Asymptotics ◽

Strong Limit

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Precise asymptotics in some strong limit theorems for multidimensionally indexed random variables

Journal of Multivariate Analysis ◽

10.1016/s0047-259x(03)00050-2 ◽

2003 ◽

Vol 86 (2) ◽

pp. 398-422 ◽

Cited By ~ 21

Author(s):

Allan Gut ◽

Aurel Spătaru

Keyword(s):

Limit Theorems ◽

Random Variables ◽

Precise Asymptotics ◽

Strong Limit

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Strong Limit Theorems for Mixing Random Variables with Values in Hilbert Space and their Applications

High Dimensional Probability III ◽

10.1007/978-3-0348-8059-6_10 ◽

2003 ◽

pp. 153-174 ◽

Cited By ~ 2

Author(s):

Olimjon Sh. Sharipov

Keyword(s):

Hilbert Space ◽

Limit Theorems ◽

Random Variables ◽

Strong Limit ◽

Mixing Random Variables

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Strong limit theorems for blockwise $m$-dependent and blockwise quasi-orthogonal sequences of random variables

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-1987-0911038-3 ◽

1987 ◽

Vol 101 (4) ◽

pp. 709-709

Author(s):

F. M{óricz

Keyword(s):

Limit Theorems ◽

Random Variables ◽

Strong Limit ◽

Orthogonal Sequences

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Strong Limit Theorems for Certain Arrays of Random Variables

The Annals of Probability ◽

10.1214/aop/1176996092 ◽

1976 ◽

Vol 4 (3) ◽

pp. 444-452 ◽

Cited By ~ 5

Author(s):

R. J. Tomkins

Keyword(s):

Limit Theorems ◽

Random Variables ◽

Strong Limit

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Some strong limit theorems of weighted sums for negatively dependent generalized Gaussian random variables

Statistics & Probability Letters ◽

10.1016/j.spl.2007.01.015 ◽

2007 ◽

Vol 77 (11) ◽

pp. 1106-1110 ◽

Cited By ~ 13

Author(s):

M. Amini ◽

H. Zarei ◽

A. Bozorgnia

Keyword(s):

Limit Theorems ◽

Random Variables ◽

Weighted Sums ◽

Strong Limit ◽

Gaussian Random Variables

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Strong Limit Theorems for Blockwise m-Dependent and Blockwise Quasiorthogonal Sequences of Random Variables

Proceedings of the American Mathematical Society ◽

10.2307/2046676 ◽

1987 ◽

Vol 101 (4) ◽

pp. 709 ◽

Cited By ~ 14

Author(s):

F. Moricz

Keyword(s):

Limit Theorems ◽

Random Variables ◽

Strong Limit

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Strong limit theorems for arrays of rowwise independent random variables under sublinear expectation

Acta Mathematica Hungarica ◽

10.1007/s10474-019-00938-1 ◽

2019 ◽

Vol 159 (1) ◽

pp. 299-322 ◽

Cited By ~ 1

Author(s):

X. Feng ◽

Y. Lan

Keyword(s):

Limit Theorems ◽

Random Variables ◽

Independent Random Variables ◽

Strong Limit ◽

Sublinear Expectation ◽

Rowwise Independent

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On the strong limit theorems for double arrays of blockwise M-dependent random variables

Acta Mathematica Sinica English Series ◽

10.1007/s10114-011-0110-z ◽

2011 ◽

Vol 27 (10) ◽

pp. 1923-1934 ◽

Cited By ~ 6

Author(s):

Ulrich Stadtmüller ◽

Le Van Thanh

Keyword(s):

Limit Theorems ◽

Random Variables ◽

Strong Limit ◽

Dependent Random Variables

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Some Strong Limit Theorems for Weighted Product Sums of -Mixing Sequences of Random Variables

Journal of Inequalities and Applications ◽

10.1155/2009/174768 ◽

2009 ◽

Vol 2009 (1) ◽

pp. 174768 ◽

Cited By ~ 4

Author(s):

Qunying Wu ◽

Yuanying Jiang

Keyword(s):

Limit Theorems ◽

Random Variables ◽

Strong Limit ◽

Mixing Sequences

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Some strong limit theorems for arrays of rowwise negatively orthant-dependent random variables

Journal of Inequalities and Applications ◽

10.1186/1029-242x-2011-93 ◽

2011 ◽

Vol 2011 (1) ◽

Cited By ~ 11

Author(s):

Aiting Shen

Keyword(s):

Limit Theorems ◽

Random Variables ◽

Strong Limit ◽

Dependent Random Variables

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