TY - BOOK AU - BERGSTRÖM,HARALD AU - BHATTACHARYA,R.N. AU - BHATTACHARYA,RABI N. AU - BOROVSKIKH,YUV. AU - DEHEUVELS,PAUL AU - DENKER,MANFRED AU - HAIMAN,GEORGE AU - HAREL,M. AU - HAREL,MICHEL AU - Hall,Peter G. AU - JUREČKOVÁ,JANA AU - KIKI,MAXIME AU - MAYEUR,NELLY AU - NEVZOROV,VALERY AU - O\x27CINNEIDE,COLM ART AU - PURI,L.MADAN AU - PURI,M.L. AU - PURI,MADAN L. AU - PURI,ΜADAN L. AU - RALESCU,STEFAN AU - RALESCU,STEFAN S. AU - RÖSLER,UWE AU - SAZONOV,V.V. AU - SEOH,M. AU - SEOH,MUNSUP AU - TANIGUCHI,MASANOBU AU - TRAN,LANH T. AU - WU,T.-J. TI - Selected Collected Works. T2 - Selected Collected Works SN - 9789067643856 AV - QA273 .P87 2003eb U1 - 759 PY - 2011///] CY - Berlin, Boston : PB - De Gruyter Mouton, KW - Extreme value theory KW - Probabilities KW - Extremalproblem KW - Wahrscheinlichkeitstheorie KW - MATHEMATICS / Probability & Statistics / General KW - bisacsh N1 - 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; restricted access; Issued also in print UR - https://doi.org/10.1515/9783110917826 UR - https://www.degruyter.com/isbn/9783110917826 UR - https://www.degruyter.com/document/cover/isbn/9783110917826/original ER -