Ordered random variables
By: Mohammad Ahsanullah, Valery B. Nevzorov.
Contributors: Nevzorov, Valery B., 1946-
Publisher: Nova Science Publishers
Published: 2001
Place of publication: Huntington, N.Y
Language: eng
Number of pages: 412
Subjects: Random variables.; Extreme value theory.; Mathematical statistics.
Notes: Includes bibliographical references and index.
Table of contents: title: Machine generated contents note: Chapter 1 Order Statistics; title: 1.1. Definitions; title: 1.2. Order Statistics of Discrete Populations; title: 1.3. Estimation of Parameters.; title: 1.4. Order Statistics from Extended Sample; title: 1.5. Miscellaneous; title: References; title: Chapter 2 Extremes; title: 2.0. Introduction; title: 2.1. Domain of Attraction; title: 2.2. Asymtotic Distribution of Xn-k+, n; title: 2.3. Estimation of the parameters of extreme value distribution; title: References; title: Chapter 3 Order Statistics Based on Cumulative Sums; title: 3.1. Distributions of extreme order statistics; title: 3.2. Distributions of central order statistics based on sums; title: Chapter 4 Record Times and Record Values; title: 4.1. Extremes and Records; title: 4.2. Record indicators; title: 4.3. Distributions of record times; title: 4.4. Distributions of record values (continuous case); title: 4.5. Distributions of record values (discrete case); title: 4.6. Joint distributions of record times and record values; title: 4.7. Moments of record times and record values; title: 4.8. Asymptotic behavior of record times and record values; title: 4.9. Generalizations of record times and record values; title: 4.10. Nonstationary record models; title: 4.11. Records in sequences of dependent random variables; title: References; title: Chapter 5 Induced Order Statistics and Record Values; title: 5.1. Absolute order statistics; title: 5.2.f-induced order statistics; title: 5.3. Concomitants of order statistics; title: 5.4. Concomitants of record values; title: References; title: Chapter 6 Generalized Order Statistics; title: 6.1. Definitions and properties of generalized order statistics; title: 6.2. Relationships between generalized order statistics, order; title: statistics and record values; title: 6.3. Characterizations of distributions by properties of generalized order; title: statistics.; title: References; title: Index.