The use and ultimate validity of invariance principles

Group Theoretical Methods in Physics - Lecture Notes in Physics ◽

10.1007/bfb0016104 ◽

2005 ◽

pp. 1-12

Author(s):

E. P. Wigner

Keyword(s):

Invariance Principles

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Invariance Principles in Probability for Triangular Arrays of $B$-Valued Random Vectors and Some Applications

The Annals of Probability ◽

10.1214/aop/1176993862 ◽

1982 ◽

Vol 10 (2) ◽

pp. 346-373 ◽

Cited By ~ 49

Author(s):

Alejandro de Acosta

Keyword(s):

Random Vectors ◽

Invariance Principles ◽

Triangular Arrays

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Almost sure invariance principles for generalization of martingales

Probability Theory and Applications ◽

10.1515/9783112314227-098 ◽

1987 ◽

pp. 717-720

Keyword(s):

Invariance Principles

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Invariance Principles and Observability in Switched Systems with an Application in Consensus

IEEE Transactions on Automatic Control ◽

10.1109/tac.2020.3035594 ◽

2020 ◽

pp. 1-1

Author(s):

Ti-Chung Lee ◽

Ying Tan ◽

Youfeng Su ◽

Iven Mareels

Keyword(s):

Switched Systems ◽

Invariance Principles

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Invariance principles and almost sure central limit theorem for the error variance estimator in linear models

Communication in Statistics- Theory and Methods ◽

10.1080/03610926.2014.895841 ◽

2016 ◽

Vol 45 (11) ◽

pp. 3223-3235

Author(s):

Yu Miao ◽

Wei-Qiang Geng ◽

Saralees Nadarajah

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Central Limit ◽

Linear Models ◽

Error Variance ◽

Variance Estimator ◽

Invariance Principles

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Invariance Principles for Parabolic Equations with Random Coefficients

Journal of Functional Analysis ◽

10.1006/jfan.1997.3107 ◽

1997 ◽

Vol 149 (2) ◽

pp. 377-414 ◽

Cited By ~ 2

Author(s):

Donald A. Dawson ◽

Michael A. Kouritzin

Keyword(s):

Parabolic Equations ◽

Random Coefficients ◽

Invariance Principles

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Invariance principles for changepoint problems

Journal of Multivariate Analysis ◽

10.1016/0047-259x(88)90122-4 ◽

1988 ◽

Vol 27 (1) ◽

pp. 151-168 ◽

Cited By ~ 50

Author(s):

Miklós Csörgő ◽

Lajos Horváth

Keyword(s):

Invariance Principles

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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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Mixing Conditions, Central Limit Theorems and Invariance Principles: A Survey of the Literature with Some New Results on Heteroscedastic Sequences

SSRN Electronic Journal ◽

10.2139/ssrn.1331319 ◽

2008 ◽

Cited By ~ 1

Author(s):

Nikolaos Kourogenis ◽

Nikitas Pittis

Keyword(s):

Central Limit ◽

Limit Theorems ◽

Central Limit Theorems ◽

Mixing Conditions ◽

Invariance Principles

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Mixing Conditions, Central Limit Theorems, and Invariance Principles: A Survey of the Literature with Some New Results on Heteroscedastic Sequences

Econometric Reviews ◽

10.1080/07474938.2011.520569 ◽

2010 ◽

Vol 30 (1) ◽

pp. 88-108 ◽

Cited By ~ 2

Author(s):

Nikolaos Kourogenis ◽

Nikitas Pittis

Keyword(s):

Central Limit ◽

Limit Theorems ◽

Central Limit Theorems ◽

Mixing Conditions ◽

Invariance Principles

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Invariance Principles and Self-Normalizations for Sums Trimmed According to Choice of Influence Function

Sums, Trimmed Sums and Extremes ◽

10.1007/978-1-4684-6793-2_3 ◽

1991 ◽

pp. 81-110 ◽

Cited By ~ 1

Author(s):

Hamid Ould-Rouis

Keyword(s):

Influence Function ◽

Invariance Principles

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