Frontmatter -- Part I Limit Theorems, Rates of Convergence, and Related Topics (Independent Case) -- ORDER OF NORMAL APPROXIMATION FOR RANK TEST STATISTICS DISTRIBUTION / JUREČKOVÁ, JANA / PURI, ΜADAN L. -- CONVERGENCE AND REMAINDER TERMS IN LINEAR RANK STATISTICS / BERGSTRÖM, HARALD / PURI, MADAN L. -- INVARIANCE PRINCIPLES FOR RANK STATISTICS FOR TESTING INDEPENDENCE / PURI, MADAN L. / TRAN, LANH T. -- ON THE DEGENERATION OF THE VARIANCE IN THE ASYMPTOTIC NORMALITY OF SIGNED RANK STATISTICS / PURI, MADAN L. / RALESCU, STEFAN S. -- ON THE ORDER OF MAGNITUDE OF CUMULANTS OF VON MISES FUNCTIONALS AND RELATED STATISTICS / BHATTACHARYA, R. N. / PURI, M. L. -- ON BERRY-ESSEEN RATES, A LAW OF THE ITERATED LOGARITHM AND AN INVARIANCE PRINCIPLE FOR THE PROPORTION OF THE SAMPLE BELOW THE SAMPLE MEAN / RALESCU, STEFAN / PURI, MADAN L. -- CRAMÉR TYPE LARGE DEVIATIONS FOR GENERALIZED RANK STATISTICS / SEOH, MUNSUP / RALESCU, STEFAN S. / PURI, MADAN L. -- ON THE RATE OF CONVERGENCE IN THE CENTRAL LIMIT THEOREM FOR SIGNED RANK STATISTICS / RALESCU, STEFAN S. / PURI, MADAN L. -- A SHARPENING OF THE REMAINDER TERM IN THE HIGHER-DIMENSIONAL CENTRAL LIMIT THEOREM FOR MULTILINEAR RANK STATISTICS / DENKER, MANFRED / PURI, MADAN L. / RÖSLER, UWE -- THE ORDER OF NORMAL APPROXIMATION FOR SIGNED LINEAR RANK STATISTICS / PURI, M. L. / WU, T.-J. -- CENTRAL LIMIT THEOREM FOR PERTURBED EMPIRICAL DISTRIBUTION FUNCTIONS EVALUATED AT A RANDOM POINT / PURI, MADAN L. / RALESCU, STEFAN S. -- LIMIT THEOREMS FOR RANDOM CENTRAL ORDER STATISTICS / PURI, MADAN L. / RALESCU, STEFAN S. -- ASYMPTOTIC EXPANSIONS FOR SUMS OF NONIDENTICALLY DISTRIBUTED BERNOULLI RANDOM VARIABLES / DEHEUVELS, PAUL / PURI, MADAN L. / RALESCU, STEFAN S. -- ON THE RATE OF CONVERGENCE IN NORMAL APPROXIMATION AND LARGE DEVIATION PROBABILITIES FOR A CLASS OF STATISTICS / PURI, M. L. / SEOH, M. -- ON HILBERT-SPACE-VALUED U-STATISTICS / PURI, M. L. / SAZONOV, V. V. -- ON THE CENTRAL LIMIT THEOREM IN HILBERT SPACE WITH APPLICATION TO U-STATISTICS / PURI, MADAN L. / SAZONOV, V. V. -- ASYMPTOTIC EXPANSIONS IN STATISTICS: A REVIEW OF METHODS AND APPLICATIONS / BHATTACHARYA, RABI N. / PURI, MADAN L. -- NORMAL APPROXIMATION OF U-STATISTICS IN HILBERT SPACE / BOROVSKIKH, YU. V. / PURI, L. MADAN / SAZONOV, V. V. -- Part II Limit Theorems (Dependent Case) -- EMPIRICAL DISTRIBUTION FUNCTIONS AND FUNCTIONS OF ORDER STATISTICS FOR MIXING RANDOM VARIABLES / PURI, MADAN L. / TRAN, LANH T. -- AN INVARIANCE PRINCIPLE FOR PROCESSES INDEXED BY TWO PARAMETERS AND SOME STATISTICAL APPLICATIONS / DENKER, MANFRED / PURI, MADAN L. -- LIMITING BEHAVIOR OF U-STATISTICS, V-STATISTICS, AND ONE SAMPLE RANK ORDER STATISTICS FOR NONSTATIONARY ABSOLUTELY REGULAR PROCESSES / HAREL, MICHEL / PURI, MADAN L. -- WEAK INVARIANCE OF GENERALIZED U-STATISTICS FOR NONSTATIONARY ABSOLUTELY REGULAR PROCESSES / HAREL, MICHEL / PURI, MADAN L. -- THE SPACE D̃k AND WEAK CONVERGENCE FOR THE RECTANGLE-INDEXED PROCESSES UNDER MIXING / HAREL, MICHEL / PURI, MADAN L. -- WEAK INVARIANCE OF THE MULTIDIMENSIONAL RANK STATISTIC FOR NONSTATIONARY ABSOLUTELY REGULAR PROCESSES / HAREL, MICHEL / PURI, MADAN L. -- WEAK CONVERGENCE OF THE SIMPLE LINEAR RANK STATISTIC UNDER MIXING CONDITIONS IN THE NONSTATIONARY CASE / HAREL, M. / PURI, M. L. -- WEAK CONVERGENCE OF WEIGHTED EMPIRICAL U-STATISTICS PROCESSES FOR DEPENDENT RANDOM VARIABLES / HAREL, MICHEL / O'CINNEIDE, COLM ART / PURI, MADAN L. -- LAW OF THE ITERATED LOGARITHM FOR PERTURBED EMPIRICAL DISTRIBUTION FUNCTIONS EVALUATED AT A RANDOM POINT FOR NONSTATIONARY RANDOM VARIABLES / HAREL, MICHEL / PURI, MADAN L. -- VALID EDGEWORTH EXPANSIONS OF M-ESTIMATORS IN REGRESSION MODELS WITH WEAKLY DEPENDENT RESIDUALS / TANIGUCHI, MASANOBU / PURI, MADAN L. -- CONDITIONAL U-STATISTICS FOR DEPENDENT RANDOM VARIABLES / HAREL, MICHEL / PURI, MADAN L. -- WEAK CONVERGENCE OF SEQUENCES OF FIRST PASSAGE PROCESSES AND APPLICATIONS / RALESCU, STEFAN S. / PURI, MADAN L. -- CONDITIONAL EMPIRICAL PROCESSES DEFINED BY NONSTATIONARY ABSOLUTELY REGULAR SEQUENCES / HAREL, MICHEL / PURI, MADAN L. -- Part III Extreme Value Theory -- A STRONG INVARIANCE PRINCIPLE CONCERNING THE J-UPPER ORDER STATISTICS FOR STATIONARY m-DEPENDENT SEQUENCES / HAIMAN, GEORGE / PURI, MADAN L. -- A STRONG INVARIANCE PRINCIPLE CONCERNING THE J-UPPER ORDER STATISTICS FOR STATIONARY GAUSSIAN SEQUENCES / HAIMAN, GEORGE / PURI, MADAN L. -- EXTREMES OF MARKOV SEQUENCES / HAIMAN, GEORGE / KIKI, MAXIME / PURI, MADAN L. -- RECORDS AND 2-BLOCK RECORDS OF 1-DEPENDENT STATIONARY SEQUENCES UNDER LOCAL DEPENDENCE / HAIMAN, GEORGE / MAYEUR, NELLY / NEVZOROV, VALERY / PURI, MADAN L. -- 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 Puriweiterlesen