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Ordered Random Variables
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Authors: Ahsanullah, Mohammad (Rider University). ; . Nevzorov, Valery B. (St. Petersburg State University) 
Book Description:
This book collects in one place our results for ordered random variables scattered in many papers, published in different journals and volumes, some of which are not easily available. It gives an exposition of such topics as induced order statistics and order statistics based on sums of random variables,, which are now ready for a systematic presentation in book form.
Furthermore, the authors aim to locate all ordered random variables under a common roof and to compare results and methods for different types of orderings

Table of Contents:
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

   Binding: Hardcover
   Pub. Date: 2001
   ISBN: 1-59033-.024-2
  
  
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Ordered Random Variables