LEADER 05224nam 2200673 a 450 001 9910143180703321 005 20200520144314.0 010 $a9786610541966 010 $a9781280541964 010 $a1280541962 010 $a9780471654018 010 $a0471654019 010 $a9780471722168 010 $a0471722162 035 $a(CKB)111087027123412 035 $a(EBL)214296 035 $a(SSID)ssj0000215970 035 $a(PQKBManifestationID)11181463 035 $a(PQKBTitleCode)TC0000215970 035 $a(PQKBWorkID)10194658 035 $a(PQKB)10829801 035 $a(MiAaPQ)EBC214296 035 $a(OCoLC)60581182 035 $a(PPN)197097782 035 $a(Perlego)2772409 035 $a(EXLCZ)99111087027123412 100 $a20030409d2003 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aOrder statistics /$fH.A. David, H.N. Nagaraja 205 $a3rd ed. 210 $aHoboken, N.J. $cJohn Wiley$dc2003 215 $a1 online resource (482 p.) 300 $aDescription based upon print version of record. 311 08$a9780471389262 311 08$a0471389269 320 $aIncludes bibliographical references (p. 367-450) and index. 327 $aCONTENTS; PREFACE; 1 INTRODUCTION; 1.1 The subject of order statistics; 1.2 The scope and limits of this book; 1.3 Notation; 1.4 Exercises; 2 BASIC DISTRIBUTION THEORY; 2.1 Distribution of a single order statistic; 2.2 Joint distribution of two or more order statistics; 2.3 Distribution of the range and of other systematic statistics; 2.4 Order statistics for a discrete parent; 2.5 Conditional distributions, order statistics as a Markov chain, and independence results; 2.6 Related statistics; 2.7 Exercises; 3 EXPECTED VALUES AND MOMENTS; 3.1 Basic formulae 327 $a3.2 Special continuous distributions3.3 The discrete case; 3.4 Recurrence relations; 3.5 Exercises; 4 BOUNDS AND APPROXIMATIONS FOR MOMENTS OF ORDER STATISTICS; 4.1 Introduction; 4.2 Distribution-free bounds for the moments of order statistics and of the range; 4.3 Bounds and approximations by orthogonal inverse expansion; 4.4 Stochastic orderings; 4.5 Bounds for the expected values of order statistics in terms of quantiles of the parent distribution; 4.6 Approximations to moments in terms of the quantile function and its derivatives; 4.7 Exercises; 5 THE NON-IID CASE; 5.1 Introduction 327 $a5.2 Order statistics for independent nonidentically distributed variates5.3 Order statistics for dependent variates; 5.4 Inequalities and recurrence relations-non-IID cases; 5.5 Bounds for linear functions of order statistics and for their expected values; 5.6 Exercises; 6 FURTHER DISTRIBUTION THEORY; 6.1 Introduction; 6.2 Studentization; 6.3 Statistics expressible as maxima; 6.4 Random division of an interval; 6.5 Linear functions of order statistics; 6.6 Moving order statistics; 6.7 Characterizations; 6.8 Concomitants of order statistics; 6.9 Exercises 327 $a7 ORDER STATISTICS IN NONPARAMETRIC INFERENCE7.1 Distribution-free confidence intervals for quantiles; 7.2 Distribution-free tolerance intervals; 7.3 Distribution-free prediction intervals; 7.4 Exercises; 8 ORDER STATISTICS IN PARAMETRIC INFERENCE; 8.1 Introduction and basic results; 8.2 Information in order statistics; 8.3 Bootstrap estimation of quantiles and of moments of order statistics; 8.4 Least-squares estimation of location and scale parameters by order statistics; 8.5 Estimation of location and scale parameters for censored data 327 $a8.6 Life testing, with special emphasis on the exponential distribution8.7 Prediction of order statistics; 8.8 Robust estimation; 8.9 Exercises; 9 SHORT-CUT PROCEDURES; 9.1 Introduction; 9.2 Quick measures of location; 9.3 Range and mean range as measures of dispersion; 9.4 Other quick measures of dispersion; 9.5 Quick estimates in bivariate samples; 9.6 The studentized range; 9.7 Quick tests; 9.8 Ranked-set sampling; 9.9 O-statistics and L-moments in data summarization; 9.10 Probability plotting and tests of goodness of fit; 9.11 Statistical quality control; 9.12 Exercises 327 $a10 ASYMPTOTIC THEORY 330 $aA completely revised and expanded edition of a classic resource In the over twenty years since the publication of the Second Edition of Order Statistics, the theories and applications of this dynamic field have changed markedly. Meeting the challenges and demands of today's students and research community, authors H. A. David and H. N. Nagaraja return with a completely revised and updated Order Statistics, Third Edition. Chapters two through nine of this comprehensive volume deal with finite-sample theory, with individual topics grouped under distribution theory (chapters two through six) 606 $aOrder statistics 615 0$aOrder statistics. 676 $a519.5 700 $aDavid$b H. A$g(Herbert Aron),$f1925-$0118187 701 $aNagaraja$b H. N$g(Haikady Navada),$f1954-$0950593 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910143180703321 996 $aOrder statistics$92149263 997 $aUNINA