
A Concept of Generalized Order Statistics
Udo Kamps(Co-Author)
Vieweg+Teubner Verlag
Published on 1. January 1995
Book
Paperback/Softback
212 pages
978-3-519-02736-2 (ISBN)
Description
Order statistics and record values appear in many statistical applications and are widely used in statistical modeling and inference. Both models describe random variables arranged in order of magnitude. In addition to these well-known models, several other models of ordered random variables, known and new ones, are introduced in this book such as order statistics with non-integral sample size, sequential order statistics, k-th record values, Pfeifer' s record model, k -records from non-identical distributions and ordered random variables which arise from n truncation of distributions. These models can be effectively applied, e.g., in reliability theory. Here, an order statistic represents the life-length of some r-out-of-n-system which is an important technical structure consisting of n components. For this application, a new and more adequate model is naturally suggested. Sequential order statistics serve as a model describing certain dependencies or interactions among the system components caused by failures of components. Record values are closely connected with the occurrence times of some corresponding non-homogeneaus Poisson process and used in so~lled shock models. More flexible record models, and therefore more applicable to practical situations, are considered here. 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. In the distribution theoretical sense, all of the models mentioned above are contained in the proposed model of generalized order statistics.
More details
Series
Edition
1995
Language
German
Place of publication
Wiesbaden
Germany
Publishing group
Vieweg & Teubner
Target group
Primary & secondary/elementary & high school
Graduate
Illustrations
1 farbige Abbildung
212 S. 1 Abb. in Farbe.
Dimensions
Height: 244 mm
Width: 170 mm
Thickness: 12 mm
Weight
382 gr
ISBN-13
978-3-519-02736-2 (9783519027362)
DOI
10.1007/978-3-663-09196-7
Schweitzer Classification
Other editions
Additional editions

E-Book
07/2013
Vieweg+Teubner Verlag
€35.96
Available for download
Content
I Generalized Order Statistics.- II Moments of Generalized Order Statistics.- III Recurrence Relations for Moments of Generalized Order Statistics and Characterizations of Distributions.- IV Inequalities for Moments of Generalized Order Statistics and Characterizations of Distributions.- V Reliability Properties of Generalized Order Statistics.- Symbols.- References.- Author Index.