Probability Theory and Extreme Value Theory
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9783110917826

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ON BERRY-ESSEEN RATES, A LAW OF THE ITERATED LOGARITHM AND AN INVARIANCE PRINCIPLE FOR THE PROPORTION OF THE SAMPLE BELOW THE SAMPLE MEAN

Probability Theory and Extreme Value Theory ◽

10.1515/9783110917826.63 ◽

2012 ◽

Author(s):

STEFAN RALESCU ◽

MADAN L. PURI

Keyword(s):

Invariance Principle ◽

Sample Mean ◽

Iterated Logarithm

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CONDITIONAL EMPIRICAL PROCESSES DEFINED BY NONSTATIONARY ABSOLUTELY REGULAR SEQUENCES

Probability Theory and Extreme Value Theory ◽

10.1515/9783110917826.569 ◽

2012 ◽

Author(s):

MICHEL HAREL ◽

MADAN L. PURI

Keyword(s):

Empirical Processes ◽

Regular Sequences

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WEAK CONVERGENCE OF SEQUENCES OF FIRST PASSAGE PROCESSES AND APPLICATIONS

Probability Theory and Extreme Value Theory ◽

10.1515/9783110917826.550 ◽

2012 ◽

Author(s):

STEFAN S. RALESCU ◽

MADAN L. PURI

Keyword(s):

Weak Convergence ◽

First Passage ◽

Convergence Of Sequences

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THE SPACE D̃k AND WEAK CONVERGENCE FOR THE RECTANGLE-INDEXED PROCESSES UNDER MIXING

Probability Theory and Extreme Value Theory ◽

10.1515/9783110917826.406 ◽

2012 ◽

Author(s):

MICHEL HAREL ◽

MADAN L. PURI

Keyword(s):

Weak Convergence

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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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ON THE CENTRAL LIMIT THEOREM IN HILBERT SPACE WITH APPLICATION TO U-STATISTICS

Probability Theory and Extreme Value Theory ◽

10.1515/9783110917826.224 ◽

2012 ◽

Author(s):

MADAN L. PURI ◽

V. V. SAZONOV

Keyword(s):

Hilbert Space ◽

Central Limit Theorem ◽

Limit Theorem ◽

Central Limit ◽

U Statistics ◽

The Central Limit Theorem

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ASYMPTOTIC EXPANSIONS IN STATISTICS: A REVIEW OF METHODS AND APPLICATIONS

Probability Theory and Extreme Value Theory ◽

10.1515/9783110917826.231 ◽

2012 ◽

Author(s):

RABI N. BHATTACHARYA ◽

MADAN L. PURI

Keyword(s):

Asymptotic Expansions

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RECORDS AND 2-BLOCK RECORDS OF 1-DEPENDENT STATIONARY SEQUENCES UNDER LOCAL DEPENDENCE

Probability Theory and Extreme Value Theory ◽

10.1515/9783110917826.683 ◽

2012 ◽

Author(s):

GEORGE HAIMAN ◽

NELLY MAYEUR ◽

VALERY NEVZOROV ◽

MADAN L. PURI

Keyword(s):

Local Dependence ◽

Stationary Sequences

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WEAK CONVERGENCE OF THE SIMPLE LINEAR RANK STATISTIC UNDER MIXING CONDITIONS IN THE NONSTATIONARY CASE

Probability Theory and Extreme Value Theory ◽

10.1515/9783110917826.456 ◽

2012 ◽

Author(s):

M. HAREL ◽

M. L. PURI

Keyword(s):

Weak Convergence ◽

Rank Statistic ◽

Mixing Conditions ◽

Linear Rank Statistic ◽

Linear Rank

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NORMAL APPROXIMATION OF U-STATISTICS IN HILBERT SPACE

Probability Theory and Extreme Value Theory ◽

10.1515/9783110917826.266 ◽

2012 ◽

Author(s):

YU. V. BOROVSKIKH ◽

L. MADAN PURI ◽

V. V. SAZONOV

Keyword(s):

Hilbert Space ◽

Normal Approximation ◽

U Statistics

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