Stability Results and Strong Invariance Principles for Partial Sums of Banach Space Valued Random Variables

Uwe Einmahl

doi:10.1214/aop/1176991512

Stability Results and Strong Invariance Principles for Partial Sums of Banach Space Valued Random Variables

The Annals of Probability ◽

10.1214/aop/1176991512 ◽

1989 ◽

Vol 17 (1) ◽

pp. 333-352 ◽

Cited By ~ 5

Author(s):

Uwe Einmahl

Keyword(s):

Banach Space ◽

Random Variables ◽

Partial Sums ◽

Invariance Principles ◽

Strong Invariance ◽

Strong Invariance Principles ◽

Stability Results

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Strong invariance principles for dependent random variables

The Annals of Probability ◽

10.1214/009117907000000060 ◽

2007 ◽

Vol 35 (6) ◽

pp. 2294-2320 ◽

Cited By ~ 86

Author(s):

Wei Biao Wu

Keyword(s):

Random Variables ◽

Dependent Random Variables ◽

Invariance Principles ◽

Strong Invariance ◽

Strong Invariance Principles

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Strong Invariance Principles for Partial Sums of Independent Random Vectors

The Annals of Probability ◽

10.1214/aop/1176991985 ◽

1987 ◽

Vol 15 (4) ◽

pp. 1419-1440 ◽

Cited By ~ 50

Author(s):

Uwe Einmahl

Keyword(s):

Partial Sums ◽

Random Vectors ◽

Invariance Principles ◽

Strong Invariance ◽

Strong Invariance Principles

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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 ◽

Cited By ~ 1

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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On Strong Invariance Principles Under Dependence Assumptions

The Annals of Probability ◽

10.1214/aop/1176992626 ◽

1986 ◽

Vol 14 (1) ◽

pp. 260-270 ◽

Cited By ~ 67

Author(s):

Ernst Eberlein

Keyword(s):

Invariance Principles ◽

Strong Invariance ◽

Strong Invariance Principles

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Almost Sure Invariance Principles for Partial Sums of Mixing $B$-Valued Random Variables

The Annals of Probability ◽

10.1214/aop/1176994565 ◽

1980 ◽

Vol 8 (6) ◽

pp. 1003-1036 ◽

Cited By ~ 90

Author(s):

J. Kuelbs ◽

Walter Philipp

Keyword(s):

Random Variables ◽

Partial Sums ◽

Invariance Principles

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Strong Invariance Principles with Rate for “Reverse” Martingale Differences and Applications

Journal of Theoretical Probability ◽

10.1007/s10959-013-0506-z ◽

2013 ◽

Vol 28 (1) ◽

pp. 137-183 ◽

Cited By ~ 14

Author(s):

Christophe Cuny ◽

Florence Merlevède

Keyword(s):

Martingale Differences ◽

Invariance Principles ◽

Strong Invariance ◽

Strong Invariance Principles

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On the interrelation of almost sure invariance principles for certain stochastic adaptive algorithms and for partial sums of random variables

Journal of Theoretical Probability ◽

10.1007/bf02214252 ◽

1996 ◽

Vol 9 (4) ◽

pp. 811-840 ◽

Cited By ~ 5

Author(s):

Michael A. Kouritzin

Keyword(s):

Random Variables ◽

Adaptive Algorithms ◽

Partial Sums ◽

Invariance Principles ◽

Sums Of Random Variables

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Strong invariance principles for sequential Bahadur–Kiefer and Vervaat error processes of long-range dependent sequences

The Annals of Statistics ◽

10.1214/009053607000000370 ◽

2007 ◽

Vol 35 (6) ◽

pp. 2815-2817 ◽

Cited By ~ 2

Author(s):

Miklós Csörgő ◽

Barbara Szyszkowicz ◽

Lihong Wang

Keyword(s):

Long Range ◽

Invariance Principles ◽

Strong Invariance ◽

Strong Invariance Principles

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Strong invariance principles for mixing random fields

Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete ◽

10.1007/bf00533712 ◽

1981 ◽

Vol 57 (1) ◽

pp. 15-37 ◽

Cited By ~ 19

Author(s):

Istv�n Berkes ◽

Gregory J. Morrow

Keyword(s):

Random Fields ◽

Invariance Principles ◽

Strong Invariance ◽

Strong Invariance Principles ◽

Mixing Random Fields

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On the law of the iterated logarithm and strong invariance principles in stochastic geometry

Bernoulli ◽

10.3150/20-bej1288 ◽

2021 ◽

Vol 27 (3) ◽

Author(s):

Johannes Krebs

Keyword(s):

Stochastic Geometry ◽

Invariance Principles ◽

Strong Invariance ◽

Strong Invariance Principles ◽

Iterated Logarithm ◽

The Law

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