Stochastic Comparisons with Applications: In Order Statistics and Spacings
Title Statements
- Full title :Stochastic Comparisons with Applications : In Order Statistics and Spacings.
Edition Statements
- Publication Date:©2022.
Publication Statements
- Publisher(s):Springer International Publishing AG
- Place of Publication:Cham
- Language:eng
- Publication Date:©2022.
The Physical Object
- Description:1 online resource (280 pages)
Edition Identifiers
- ISBN:9783031121043, 303112104X
- oclc:on1351219281
- LC Classification:QA276-280
Table of Contents
Intro -- Preface -- References -- Acknowledgements -- Contents -- 1 Introduction and Preliminaries -- 1.1 Introduction -- 1.2 Notations and Definitions -- 1.3 Order Statistics, Record Values, and Generalized Order Statistics -- 1.3.1 Record Values -- 1.3.2 Generalized Order Statistics -- 1.4 Multivariate Distributions and Copulas -- 1.5 Majorization and Related Orderings -- References -- 2 Magnitude Orders -- 2.1 Introduction -- 2.2 (Usual) Stochastic Order -- 2.3 Hazard Rate and Reverse Hazard Rate Orders -- 2.4 Likelihood Ratio Order -- 2.5 Mean Residual Life and Some Other Stochastic Orders -- 2.6 Relations Between Magnitude Stochastic Orders -- 2.7 Multivariate Orders -- 2.8 Stochastic Comparisons Within a Random Vector -- 2.9 P-P Plots -- 2.10 Closure and Preservation Properties -- 2.11 P-P Order -- 2.12 Inference for the (Usual) Stochastic Ordering -- 2.13 Inference for the Hazard Rate Ordering -- 2.14 Inference for the Crossing Point of Two SurvivalFunctions -- 2.15 Testing for the Joint Stochastic and the Joint Likelihood Ratio Orders -- References -- 3 Variability Orders -- 3.1 Introduction -- 3.2 The Dispersive Order -- 3.3 The Right Spread Function -- 3.4 The Right Spre…
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