A Concept of Generalized Order Statistics Paperback - 1995
by Udo Kamps (With)
From the rear cover
Order statistics and record values appear in many statistical applications and are widely used in statistical modeling and inference. In addition to these wellknown models, several other models of ordered random variables, known and new ones, are introduced which can be effectively applied, e.g., in reliability theory. The main purpose of this book is to present a concept of generalized order statistics as a unified approach to a variety of models of ordered random variables. Numerous related results on distributional and moment properties of order statistics and record values are found in the literature which are deduced separately. The concept of generalized order statistics, however, enablesa common approach to structural similarities and analogies. Well known results can be subsumed, generalized, and integrated within a general framework. Therefore, the concept of generalized order statistics provides a large class of models with many interesting, important and useful properties for both the description and the analysis of practical problems. Contents: Models of ordered random variables (with applications in reliability theory): order statistics, order statistics with nonintegral sample size, sequential order statistics, record values, krecords, Pfeifer's record model, knrecords from nonidentical distributions, ordering via truncation of distributions, censoring schemes / generalized order statistics / distribution theory of generalized order statistics / moments of generalized order statistics / existence of moments / characterization of distributions by sequences of moments / recurrence relations for moments and characterizations of distributions / inequalities for moments and characterizations of distributions / reliability properties: transmission of aging properties, partial ordering of generalized order statistics
Details
- Title A Concept of Generalized Order Statistics
- Author Udo Kamps (With)
- Binding Paperback
- Pages 212
- Volumes 1
- Language GER
- Publisher Vieweg+teubner Verlag
- Date 1995-01-01
- Illustrated Yes
- ISBN 9783519027362 / 3519027364
- Weight 0.77 lbs (0.35 kg)
- Dimensions 9.61 x 6.69 x 0.46 in (24.41 x 16.99 x 1.17 cm)
- Library of Congress subjects Order statistics
- Library of Congress Catalog Number 95161492
- Dewey Decimal Code 519.5
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A Concept of Generalized Order Statistics
by Udo Kamps
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