LEADER 05230nam 2200613 450 001 9910819043203321 005 20230120014655.0 010 $a1-4832-9749-7 035 $a(CKB)3710000000200393 035 $a(EBL)1888727 035 $a(SSID)ssj0001267181 035 $a(PQKBManifestationID)12478354 035 $a(PQKBTitleCode)TC0001267181 035 $a(PQKBWorkID)11254752 035 $a(PQKB)10149841 035 $a(MiAaPQ)EBC1888727 035 $a(EXLCZ)993710000000200393 100 $a20150113h19911991 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aOrder statistics and inference $eestimation methods /$fN. Balakrishnan, and A. Clifford Cohen 210 1$aSan Diego, California ;$aLondon, England :$cAcademic Press,$d1991. 210 4$dİ1991 215 $a1 online resource (399 p.) 225 1 $aStatistical Modeling and Decision Science 300 $aDescription based upon print version of record. 311 $a1-322-48058-3 311 $a0-12-076948-4 320 $aIncludes bibliographical references and index. 327 $aFront Cover; Order Statistics and Inference:Estimation Methods; Copyright Page; Dedication; Table of Contents; Acknowledgments; Preface; List of Tables; List of Figures; Chapter 1.Introduction; 1.1 Introductory Remarks; 1.2 The Role of Order Statistics in Practical Applications; 1.3 Scope of This Volume; Chapter 2.Basic Theory; 2.1 Introduction; 2.2 Joint Distribution of n Order Statistics; 2.3 Joint Distribution of Two Order Statistics; 2.4 Distribution of a Single Order Statistic; 2.5 Distribution of Range and Some Other Statistics; Chapter 3.Moments and Other Expected Values 327 $a3.1 Introduction3.2 Some Basic Formulas; 3.3 Recurrence Relations and Identities; 3.4 Results for the Uni form Distribution; 3.5 Results for the Exponential Distribution; 3.6 Results for the Logistic Distribution; 3.7 Results for the Gamma Distribution; 3.8 Results for the Weibull Distribution; 3.9 Results for the Normal Distribution; 3.10 Results for the Half Logistic Distribution; 3.11 David and Johnson's Approximation; Chapter 4. Linear Estimation Based on Order Statistics; 4.1 Preliminary Remarks; 4.2 BLUE of the Scale Parameter; 4.3 BLUE for the One-Parameter Exponential Distribution 327 $a4.4 BLUEs of the Location and Scale Parameters4.5 BLUEs for the Two-Parameter Exponential Distribution; 4.6 Gupta's Simplified Linear Estimators; 4.7 Blom's Unbiased Nearly Best Linear Estimators; 4.8 Downton's Linear Estimators with Polynomial Coefficients; 4.9 Details of Other Related Work; Chapter 5.Maximum Likelihood Estimation; 5.1 Preliminary Remarks; 5.2 The Weibull Distribution; 5.3 The Lognormal Distribution; 5.4 The Inverse Gaussian Distribution; 5.5 The Gamma Distribution; 5.6 The Rayleigh Distribution; 5.7 The Exponential Distribution 327 $a5.8 Complete, Truncated, and Censored Samples from the Normal DistributionChapter 6.Approximate Maximum Likelihood Estimation; 6.1 Preliminary Remarks; 6.2 Estimation for the Rayleigh Distribution; 6.3 Estimation for the Normal Distribution; 6.4 Estimation for the Logistic Distribution; 6.5 Estimation for the Extreme Value Distribution; 6.6 Estimation for the Type I Generalized Logistic Distribution; 6.7 Estimation for the Half Logistic Distribution; Chapter 7. Optimal Linear Estimation Based on Selected Order Statistics; 7.1 Introduction 327 $a7.2 Bennett's and Jung's Optimal Asymptotic Estimators7.3 Ogawa's Optimal Estimators Based on Selected Order Statistics; 7.4 Dixon's Simplified Linear Estimators; 7.5 Balakrishnan's Approximate Maximum Likelihood Estimation; 7.6 Estimation of Population Quantiles; 7.7 Details of Other Related Work; Chapter 8. Cohen-Whitten Estimators: Using Order Statistics; 8.1 Preliminary Remarks; 8.2 The Weibull Distribution; 8.3 The Lognormal Distribution; 8.4 The Inverse Gaussian Distribution; 8.5 The Gamma Distribution; 8.6 The Exponential Distribution; 8.7 Illustrative Examples 327 $aChapter 9. Estimation in Regression Models 330 $aThe literature on order statistics and inferenc eis quite extensive and covers a large number of fields ,but most of it is dispersed throughout numerous publications. This volume is the consolidtion of the most important results and places an emphasis on estimation. Both theoretical and computational procedures are presented to meet the needs of researchers, professionals, and students. The methods of estimation discussed are well-illustrated with numerous practical examples from both the physical and life sciences, including sociology,psychology,a nd electrical and chemical engineering. A co 410 0$aStatistical modeling and decision science. 606 $aOrder statistics 606 $aEstimation theory 615 0$aOrder statistics. 615 0$aEstimation theory. 676 $a519.2 700 $aBalakrishnan$b N.$f1956-$0103508 702 $aCohen$b A. Clifford 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910819043203321 996 $aOrder statistics and inference$93961754 997 $aUNINA