Selected Collected Works. / Volume 2, : Probability Theory and Extreme Value Theory / / ed. by Peter G. Hall.
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Superior document: | Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1 |
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MitwirkendeR: | |
HerausgeberIn: | |
Place / Publishing House: | Berlin ;, Boston : : De Gruyter Mouton, , [2011] ©2003 |
Year of Publication: | 2011 |
Edition: | Reprint 2011 |
Language: | English |
Series: | Selected Collected Works ;
Volume 2 |
Online Access: | |
Physical Description: | 1 online resource (743 p.) |
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Other title: | I-XII -- Part I Limit Theorems, Rates of Convergence, and Related Topics (Independent Case) -- ORDER OF NORMAL APPROXIMATION FOR RANK TEST STATISTICS DISTRIBUTION -- CONVERGENCE AND REMAINDER TERMS IN LINEAR RANK STATISTICS -- INVARIANCE PRINCIPLES FOR RANK STATISTICS FOR TESTING INDEPENDENCE -- ON THE DEGENERATION OF THE VARIANCE IN THE ASYMPTOTIC NORMALITY OF SIGNED RANK STATISTICS -- ON THE ORDER OF MAGNITUDE OF CUMULANTS OF VON MISES FUNCTIONALS AND RELATED STATISTICS -- ON BERRY-ESSEEN RATES, A LAW OF THE ITERATED LOGARITHM AND AN INVARIANCE PRINCIPLE FOR THE PROPORTION OF THE SAMPLE BELOW THE SAMPLE MEAN -- CRAMÉR TYPE LARGE DEVIATIONS FOR GENERALIZED RANK STATISTICS -- ON THE RATE OF CONVERGENCE IN THE CENTRAL LIMIT THEOREM FOR SIGNED RANK STATISTICS -- A SHARPENING OF THE REMAINDER TERM IN THE HIGHER-DIMENSIONAL CENTRAL LIMIT THEOREM FOR MULTILINEAR RANK STATISTICS -- THE ORDER OF NORMAL APPROXIMATION FOR SIGNED LINEAR RANK STATISTICS -- CENTRAL LIMIT THEOREM FOR PERTURBED EMPIRICAL DISTRIBUTION FUNCTIONS EVALUATED AT A RANDOM POINT -- LIMIT THEOREMS FOR RANDOM CENTRAL ORDER STATISTICS -- ASYMPTOTIC EXPANSIONS FOR SUMS OF NONIDENTICALLY DISTRIBUTED BERNOULLI RANDOM VARIABLES -- ON THE RATE OF CONVERGENCE IN NORMAL APPROXIMATION AND LARGE DEVIATION PROBABILITIES FOR A CLASS OF STATISTICS -- ON HILBERT-SPACE-VALUED U-STATISTICS -- ON THE CENTRAL LIMIT THEOREM IN HILBERT SPACE WITH APPLICATION TO U-STATISTICS -- ASYMPTOTIC EXPANSIONS IN STATISTICS: A REVIEW OF METHODS AND APPLICATIONS -- NORMAL APPROXIMATION OF U-STATISTICS IN HILBERT SPACE -- Part II Limit Theorems (Dependent Case) -- EMPIRICAL DISTRIBUTION FUNCTIONS AND FUNCTIONS OF ORDER STATISTICS FOR MIXING RANDOM VARIABLES -- AN INVARIANCE PRINCIPLE FOR PROCESSES INDEXED BY TWO PARAMETERS AND SOME STATISTICAL APPLICATIONS -- LIMITING BEHAVIOR OF U-STATISTICS, V-STATISTICS, AND ONE SAMPLE RANK ORDER STATISTICS FOR NONSTATIONARY ABSOLUTELY REGULAR PROCESSES -- WEAK INVARIANCE OF GENERALIZED U-STATISTICS FOR NONSTATIONARY ABSOLUTELY REGULAR PROCESSES -- THE SPACE D̃k AND WEAK CONVERGENCE FOR THE RECTANGLE-INDEXED PROCESSES UNDER MIXING -- WEAK INVARIANCE OF THE MULTIDIMENSIONAL RANK STATISTIC FOR NONSTATIONARY ABSOLUTELY REGULAR PROCESSES -- WEAK CONVERGENCE OF THE SIMPLE LINEAR RANK STATISTIC UNDER MIXING CONDITIONS IN THE NONSTATIONARY CASE -- WEAK CONVERGENCE OF WEIGHTED EMPIRICAL U-STATISTICS PROCESSES FOR DEPENDENT RANDOM VARIABLES -- LAW OF THE ITERATED LOGARITHM FOR PERTURBED EMPIRICAL DISTRIBUTION FUNCTIONS EVALUATED AT A RANDOM POINT FOR NONSTATIONARY RANDOM VARIABLES -- VALID EDGEWORTH EXPANSIONS OF M-ESTIMATORS IN REGRESSION MODELS WITH WEAKLY DEPENDENT RESIDUALS -- CONDITIONAL U-STATISTICS FOR DEPENDENT RANDOM VARIABLES -- WEAK CONVERGENCE OF SEQUENCES OF FIRST PASSAGE PROCESSES AND APPLICATIONS -- CONDITIONAL EMPIRICAL PROCESSES DEFINED BY NONSTATIONARY ABSOLUTELY REGULAR SEQUENCES -- Part III Extreme Value Theory -- A STRONG INVARIANCE PRINCIPLE CONCERNING THE J-UPPER ORDER STATISTICS FOR STATIONARY m-DEPENDENT SEQUENCES -- A STRONG INVARIANCE PRINCIPLE CONCERNING THE J-UPPER ORDER STATISTICS FOR STATIONARY GAUSSIAN SEQUENCES -- EXTREMES OF MARKOV SEQUENCES -- RECORDS AND 2-BLOCK RECORDS OF 1-DEPENDENT STATIONARY SEQUENCES UNDER LOCAL DEPENDENCE -- Part IV Appendices A, Β and C -- Appendix A Volume 1 Nonparametric Methods in Statistics and Related Topics -- Appendix Β Volume 3 Time Series, Fuzzy Analysis and Miscellaneous Topics -- Appendix C The Publications of Madan Lal Puri |
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Format: | Mode of access: Internet via World Wide Web. |
ISBN: | 9783110917826 9783110238570 9783110238471 9783110637205 9783110742961 9783110306569 |
DOI: | 10.1515/9783110917826 |
Access: | restricted access |
Hierarchical level: | Monograph |
Statement of Responsibility: | ed. by Peter G. Hall. |