A Concept of Generalized Order Statistics

Language: German

Published by Vieweg+Teubner Verlag, Vieweg+Teubner Verlag, 1995

3519027364 / 9783519027362

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Druck auf Anfrage Neuware - Printed after ordering - 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 statisrics and record values are found in the literature which are deduced separately.The concept of generalized order statistics, however, enables a 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.; 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.

Seller Inventory # 9783519027362

Title
A Concept of Generalized Order Statistics
Author
Udo Kamps
Publisher
Vieweg+Teubner Verlag, Vieweg+Teubner Verlag
Publication year
1995
Condition
Neu
Binding
Taschenbuch
Language
German
ISBN 10
3519027364
ISBN 13
9783519027362
Item weight
382 grams
Dimensions
244x170x12 mm

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