TY - BOOK AU - Ahsanullah,Mohammad AU - Hamedani,G.G. TI - Exponential Distribution - Theory and Methods: Theory and Methods T2 - Mathematics Research Developments SN - 9781613245668 AV - QA273.6 -- .A434 2010eb U1 - 519.2/4 PY - 2010/// CY - Hauppauge PB - Nova Science Publishers, Incorporated KW - Distribution (Probability theory) KW - Exponential families (Statistics) KW - Order statistics KW - Electronic books N1 - Intro -- EXPONENTIAL DISTRIBUTION:THEORY AND METHODS -- MATHEMATICS RESEARCHDEVELOPMENTS -- Contents -- Preface -- About the Authors -- Introduction -- 1.1. Preliminaries -- Order Statistics -- 2.1. Preliminaries and Definitions -- 2.2. Minimum Variance Linear Unbiased EstimatorsBased on Order Statistics -- 2.3. Minimum Variance Linear Unbiased Predictors(MVLUPs) -- 2.4. Limiting Distributions -- Record Values -- 3.1. Definitions of Record Values and Record Times -- 3.2. The Exact Distribution of Record Values -- 3.3. Moments of Record Values -- 3.4. Estimation of Parameters -- (a) Minimum Variance Linear Unbiased Estimator (MVLUE) -- (b) Best Linear Invariant Estimator (BLIE) -- 3.5. Prediction of Record Values -- 3.6. Limiting Distribution of Record Values -- Generalized Order Statistics -- 4.1. Definition -- 4.2. Generalized Order Statistics of ExponentialDistribution -- Estimation of μ and s -- Minimum Variance Linear Unbiased Estimators (MVLUEs) -- Best Linear Invariant Estimators (BLIEs) -- Prediction of X (s,n,m, k) -- Characterizations ofExponential Distribution I -- 5.1. Introduction -- 5.2. Characterizations Based on Order Statistics -- 5.3. Characterizations Based on Generalized OrderStatistics -- Characterizations ofExponential Distribution II -- 6.1. Characterizations Based on Record Values -- 6.2. Characterizations Based on Generalized OrderStatistics -- References -- Index UR - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3019744 ER -