Selected Collected Works. / Volume 2, : Probability Theory and Extreme Value Theory / / ed. by Peter G. Hall.

Saved in:
Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1
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.)
Tags: Add Tag
No Tags, Be the first to tag this record!
Table of Contents:
  • 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