Precedence-type tests and applications [[electronic resource] /] / N. Balakrishnan, H.K. Tony Ng

• Autore: Balakrishnan N. <1956->
• Pubblicazione: Hoboken, NJ, : Wiley-Interscience, c2006
• Descrizione fisica: 1 online resource (325 p.)
• Disciplina: 519.2
• Soggetto topico: Nonparametric statistics
• Altri autori: NgH. K. Tony <1975->
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references (p. 275-282) and indexes.
• Nota di contenuto: Precedence-Type Tests and Applications; Contents; List of Tables; List of Tables; List of Figures; List of Figures; Preface; 1 Introduction; 1.1 PROBLEMS OF INTEREST; 1.2 SPECIAL CONSIDERATIONS; 1.3 SPECIAL FORM OF TESTING; 1.4 PRECEDENCE TESTS; 1.5 DEVELOPMENTS; 2 Preliminaries; 2.1 LIFE-TEST DATA; 2.2 ORDER STATISTICS; 2.2.1 Joint Densities and Markovian Property; 2.2.2 Marginal Densities; 2.2.3 Moments; 2.2.4 Results for the Uniform Distribution; 2.2.5 Results for the Exponential Distribution; 2.3 CENSORED DATA; 2.3.1 Type-I Censoring; 2.3.2 Type-II Censoring ; 2.4 PROGRESSIVELY CENSORED DATA2.4.1 General Properties; 2.4.2 Results for the Uniform Distribution; 2.4.3 Results for the Exponential Distribution; 2.5 SOME USEFUL LIFETIME DISTRIBUTIONS; 2.5.1 Exponential Distribution; 2.5.2 Gamma Distribution; 2.5.3 Weibull Distribution; 2.5.4 Extreme Value Distribution; 2.5.5 Lognormal Distribution; 2.6 WILCOXON'S RANK-SUM STATISTIC; 2.7 RANDOMIZED TEST; 3 Precedence Test; 3.1 INTRODUCTION; 3.2 CONCEPT OF PRECEDENCE TEST; 3.1 Schematic representation of a precedence life-test; 3.3 EXACT NULL DISTRIBUTION; 3.4 EXACT POWER FUNCTION UNDER LEHMANN ALTERNATIVE ; 3.1 Near 5% critical values (s) and exact levels of significance (a) for the precedence test statistic P(r)3.2 Near 10% critical values (s) and exact levels of significance (a) for the precedence test statistic P(r); 3.5 MONTE CARL0 SIMULATION UNDER LOCATION-SHIFT ALTERNATIVE; 3.3 Power values of the precedence test P(r) under the Lehmann alternative for n1 = n2 = 10, r = 2(1)5, and g = 2(1)6; 3.6 EVALUATION AND COMPARATIVE REMARKS; 3.4 Power of precedence tests (P(r)) and Wilcoxon's rank-sum test (WR) when n1 = n2 = 10 ; 3.5 Power of precedence tests (P(r)) and Wilcoxon's rank-sum test (WR) when n1 = 10, n2 = 153.6 Power of precedence tests (P(r)) and Wilcoxon's rank-sum test (WE) when n1 = n2 = 15; 3.7 Power of precedence tests (P(r)) and Wilcoxon's rank-sum test (WR) when n1 = 15, n2 = 20; 3.8 Power of precedence tests (P(r)) and Wilcoxon's rank-sum test (WR) when n1 = n2 = 20; 3.7 PROPERTIES OF PRECEDENCE AND RELATED TESTS; 3.7.1 Powerful Precedence Tests; 3.7.2 Median Tests; 3.7.3 Precedence-type Tests for Complete and Censored Data; 3.7.4 Exceedance Statistics and Placement Statistics ; 3.8 ILLUSTRATIVE EXAMPLES3.9 Times to insulating fluid breakdown data from Nelson (1982) for Samples 2 and 3; 3.10 Times to insulating fluid breakdown data from Nelson (1982) for Samples 3 and 6; 4 Maximal Precedence Test; 4.1 INTRODUCTION; 4.2 EXACT NULL DISTRIBUTION; 4.3 EXACT POWER FUNCTION UNDER LEHMANN ALTERNATIVE; 4.1 Near 5% critical values and exact levels of significance for the maximal precedence test statistic M(r); 4.2 Near 10% critical values and exact levels of significance for the maximal precedence test statistic M(r) ; 4.4 MONTE CARLO SIMULATION UNDER LOCATION- SHIFT ALTERNATIVE
• Sommario/riassunto: Full coverage of statistical techniques for developing and implementing precedence-type testsPrecedence-Type Tests and Applications provides a comprehensive overview of theoretical and applied approaches to a variety of problems in which precedence-type test procedures can be used. The authors clearly demonstrate the effectiveness of these tests in life-testing situations designed for making quick and reliable decisions in the early stages of an experiment. Most of the text's examples use life-time data; however, theoretical properties are also discussed in the context of precedenc
• Titolo autorizzato: Precedence-type tests and applications
• ISBN: 1-280-44841-5; 9786610448418; 0-470-03784-9; 0-470-03783-0
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910840721203321
• Lo trovi qui: Univ. Federico II
• Serie: Wiley Series in Probability and Statistics