Almost Sure Invariance Principles for V-and U-Statistics Based on Weakly Dependent Random Variables

Asymptotic Statistics - Contributions to Statistics ◽

10.1007/978-3-642-57984-4_26 ◽

1994 ◽

pp. 319-327

Author(s):

Shuya Kanagawa ◽

Ken-ichi Yoshihara

Keyword(s):

Random Variables ◽

Dependent Random Variables ◽

Invariance Principles ◽

U Statistics ◽

Weakly Dependent Random Variables ◽

Weakly Dependent

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Almost sure invariance principles for empirical distribution functions of weakly dependent random variables

Empirical Distributions and Processes - Lecture Notes in Mathematics ◽

10.1007/bfb0096881 ◽

1976 ◽

pp. 83-105

Author(s):

Walter Philipp

Keyword(s):

Empirical Distribution ◽

Random Variables ◽

Distribution Functions ◽

Dependent Random Variables ◽

Invariance Principles ◽

Weakly Dependent Random Variables ◽

Weakly Dependent ◽

Empirical Distribution Functions

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Invariance Principles for Independent and Weakly Dependent Random Variables

Dependence in Probability and Statistics ◽

10.1007/978-1-4615-8162-8_10 ◽

1986 ◽

pp. 225-268 ◽

Author(s):

Walter Philipp

Keyword(s):

Random Variables ◽

Dependent Random Variables ◽

Invariance Principles ◽

Weakly Dependent Random Variables ◽

Weakly Dependent

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Strong invariance principles for triangular arrays of weakly dependent random variables

Canadian Journal of Statistics ◽

10.2307/3315369 ◽

1995 ◽

Vol 23 (3) ◽

pp. 299-310 ◽

Author(s):

André Robert Dabrowski ◽

Abdelhak Zoglat

Keyword(s):

Random Variables ◽

Dependent Random Variables ◽

Invariance Principles ◽

Strong Invariance ◽

Strong Invariance Principles ◽

Triangular Arrays ◽

Weakly Dependent Random Variables ◽

Weakly Dependent

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Pair correlations and $U$-statistics for independent and weakly dependent random variables

Illinois Journal of Mathematics ◽

10.1215/ijm/1258138356 ◽

2001 ◽

Vol 45 (2) ◽

pp. 559-580 ◽

Author(s):

István Berkes ◽

Walter Philipp ◽

Robert Tichy

Keyword(s):

Random Variables ◽

Dependent Random Variables ◽

Pair Correlations ◽

U Statistics ◽

Weakly Dependent Random Variables ◽

Weakly Dependent

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Almost sure invariance principles for partial sums of weakly dependent random variables

Memoirs of the American Mathematical Society ◽

10.1090/memo/0161 ◽

1975 ◽

Vol 2 (161) ◽

pp. 0-0 ◽

Author(s):

Walter Philipp ◽

William Stout

Keyword(s):

Random Variables ◽

Partial Sums ◽

Dependent Random Variables ◽

Invariance Principles ◽

Weakly Dependent Random Variables ◽

Weakly Dependent

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Limit theorems for weakly dependent random variables

Lithuanian Mathematical Journal ◽

10.1007/bf00967184 ◽

1981 ◽

Vol 20 (3) ◽

pp. 244-249 ◽

Author(s):

R. Lapinskas

Keyword(s):

Limit Theorems ◽

Random Variables ◽

Dependent Random Variables ◽

Weakly Dependent Random Variables ◽

Weakly Dependent

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Matrix Transformations of Weakly Dependent Random Variables

Journal of the London Mathematical Society ◽

10.1112/jlms/s2-27.1.185 ◽

1983 ◽

Vol s2-27 (1) ◽

pp. 185-192

Author(s):

Ferenc Móricz

Keyword(s):

Random Variables ◽

Matrix Transformations ◽

Dependent Random Variables ◽

Weakly Dependent Random Variables ◽

Weakly Dependent

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Some limit theorems for the maximum of normalized sums of weakly dependent random variables

Proceedings of the Third Japan — USSR Symposium on Probability Theory - Lecture Notes in Mathematics ◽

10.1007/bfb0077509 ◽

1976 ◽

pp. 467-474 ◽

Author(s):

Hiroshi Oodaira

Keyword(s):

Limit Theorems ◽

Random Variables ◽

Dependent Random Variables ◽

Weakly Dependent Random Variables ◽

Weakly Dependent

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Asymptotic Behavior of the Variance, Estimates on the Moments and Some Probabilistic Inequalities for Sums of Weakly Dependent Random Variables

Limit Theorems and Some Applications in Statistical Physics - TEUBNER-TEXTE zur Mathematik ◽

10.1007/978-3-322-93432-1_3 ◽

1991 ◽

pp. 40-65

Author(s):

Boris Nahapetian

Keyword(s):

Asymptotic Behavior ◽

Random Variables ◽

Dependent Random Variables ◽

Weakly Dependent Random Variables ◽

Probabilistic Inequalities ◽

Variance Estimates ◽

Weakly Dependent

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On the Rate of Convergence in the Central Limit Theorem for Weakly Dependent Random Variables

Theory of Probability and Its Applications ◽

10.1137/1136092 ◽

1992 ◽

Vol 36 (4) ◽

pp. 783-792 ◽

Author(s):

T. M. Zuparov

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Rate Of Convergence ◽

Central Limit ◽

Random Variables ◽

Dependent Random Variables ◽

The Central Limit Theorem ◽

Weakly Dependent Random Variables ◽

Weakly Dependent

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