Recent Developments in Ordered Random Variables

 
Preface; Chapter 1: Order Statistics; 1.1: Definitions; 1.2: Order Statistics of Discrete Populations; 1.3: Estimation of Parameters; 1.4: Order Statistics from Extended Samples; 1.5: Miscellaneous; References; Chapter 2: Extremes; 2.0: Introduction; 2.1: Domain of Attraction; 2.2: Asymptotic Distribution of Xn-k+1,n; 2.3: Estimation of Parameters; References; Chapter 3: Order Statistics Based on Cumulative Sums; 3.1: Distribution of Extreme Order Statistics; 3.2: Distributions of Central Order Statistics Based on Sums; References; Chapter 4: Extremes and Records; 4.2: Record Indicators; 4.3: Distributions of Record Times; 4.4: Distribution of Record Values (Continuous Case); 4.5: Distribution of Record Values (Discrete Case); 4.6: Joint Distributions of Record Times and Record Values; 4.7: Moments of Record Times and Record Values; 4.8: Asymptotic Behavior of Record Times and Record Values; 4.9: Generalizations of Record Times and Record Values; 4.10: Nonstationary Record Models; 4.11: Records in Sequences of Dependent Random Variables; References; Chapter 5: Induced Order Statistics and Record Values; 5.1: Absolute Order Statistics; 5.2: f-induced Order Statistics; 5.3 Concomitants of Order Statistics; 5.4: Concomitants of Record Values; References; Chapter 6: Generalized Order Statistics; 6.1: Definitions and Properties; 6.2: Relations between Generalized Order Statistics, Order Statistics and Record Values; 6.2: Characterizations of Distributions; References; Index