WEAK INVARIANCE OF GENERALIZED U-STATISTICS FOR NONSTATIONARY ABSOLUTELY REGULAR PROCESSES

Probability Theory and Extreme Value Theory ◽

10.1515/9783110917826.386 ◽

2012 ◽

Author(s):

MICHEL HAREL ◽

MADAN L. PURI

Keyword(s):

U Statistics ◽

Weak Invariance ◽

Absolutely Regular Processes

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Weak invariance of generalized u-statistics for nonstationary absolutely regular processes

Stochastic Processes and their Applications ◽

10.1016/0304-4149(90)90022-k ◽

1990 ◽

Vol 34 (2) ◽

pp. 341-360 ◽

Author(s):

Michel Harel ◽

Madan L. Puri

Keyword(s):

U Statistics ◽

Weak Invariance ◽

Absolutely Regular Processes

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Limiting behavior of U-statistics for stationary, absolutely regular processes

Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete ◽

10.1007/bf00532676 ◽

1976 ◽

Vol 35 (3) ◽

pp. 237-252 ◽

Author(s):

Ken -ichi Yoshihara

Keyword(s):

Limiting Behavior ◽

U Statistics ◽

Absolutely Regular Processes

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WEAK INVARIANCE OF THE MULTIDIMENSIONAL RANK STATISTIC FOR NONSTATIONARY ABSOLUTELY REGULAR PROCESSES

Probability Theory and Extreme Value Theory ◽

10.1515/9783110917826.438 ◽

2012 ◽

Author(s):

MICHEL HAREL ◽

MADAN L. PURI

Keyword(s):

Rank Statistic ◽

Weak Invariance ◽

Absolutely Regular Processes

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Limiting behavior of U-statistics, V-statistics, and one sample rank order statistics for nonstationary absolutely regular processes

Journal of Multivariate Analysis ◽

10.1016/0047-259x(89)90034-1 ◽

1989 ◽

Vol 30 (2) ◽

pp. 181-204 ◽

Author(s):

Michel Harel ◽

Madan L Puri

Keyword(s):

Order Statistics ◽

Limiting Behavior ◽

U Statistics ◽

Rank Order Statistics ◽

Absolutely Regular Processes

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Asymptotic Behavior of the Universally Consistent Conditional U-Statistics for Nonstationary and Absolutely Regular Processes

Advances in Directional and Linear Statistics ◽

10.1007/978-3-7908-2628-9_2 ◽

2010 ◽

pp. 11-25

Author(s):

Echarif Elharfaoui ◽

Michel Harel ◽

Madan L. Puri

Keyword(s):

Asymptotic Behavior ◽

U Statistics ◽

Absolutely Regular Processes

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A Weak Invariance Principle for Weighted U-Statistics with Varying Kernels

Journal of Multivariate Analysis ◽

10.1006/jmva.1993.1072 ◽

1993 ◽

Vol 47 (1) ◽

pp. 82-102 ◽

Author(s):

T. Mikosch

Keyword(s):

Invariance Principle ◽

Weak Invariance Principle ◽

U Statistics ◽

Weak Invariance

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Weak invariance of the multidimensional rank statistic with unbounded scores for nonstationary absolutely regular processes

Journal of Statistical Planning and Inference ◽

10.1016/0378-3758(92)90048-w ◽

1992 ◽

Vol 32 (2) ◽

pp. 197-227

Author(s):

Michel Harel

Keyword(s):

Rank Statistic ◽

Weak Invariance ◽

Absolutely Regular Processes

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LIMITING BEHAVIOR OF U-STATISTICS, V-STATISTICS, AND ONE SAMPLE RANK ORDER STATISTICS FOR NONSTATIONARY ABSOLUTELY REGULAR PROCESSES

Probability Theory and Extreme Value Theory ◽

10.1515/9783110917826.362 ◽

2012 ◽

Author(s):

MICHEL HAREL ◽

MADAN L. PURI

Keyword(s):

Order Statistics ◽

Limiting Behavior ◽

U Statistics ◽

Rank Order Statistics ◽

Absolutely Regular Processes

Download Full-text

Weak invariance of the multidimensional rank statistic for nonstationary absolutely regular processes

Journal of Multivariate Analysis ◽

10.1016/0047-259x(91)90058-a ◽

1991 ◽

Vol 36 (2) ◽

pp. 204-221 ◽

Author(s):

Michel Harel ◽

Madan L Puri

Keyword(s):

Rank Statistic ◽

Weak Invariance ◽

Absolutely Regular Processes

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Almost sure central limit theorems for functionals of absolutely regular processes with application to U-statistics

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2007.09.043 ◽

2008 ◽

Vol 340 (2) ◽

pp. 1120-1126 ◽

Author(s):

Shouquan Chen ◽

Zhengyan Lin

Keyword(s):

Central Limit ◽

Limit Theorems ◽

Central Limit Theorems ◽

U Statistics ◽

Absolutely Regular Processes

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