Moments and Their Applications in Ordered Statistics | Moments and Characterizations of Some Probability Distributions

Mohammad Faizan

ISBN 10: 3659284556 ISBN 13: 9783659284557

Published by LAP Lambert Academic Publishing, 2012

Language: English

Condition: New Soft cover

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Bibliographic Details

Title

Moments and Their Applications in Ordered Statistics | Moments and Characterizations of Some Probability Distributions

Publisher

LAP Lambert Academic Publishing

Publication Date

2012

Language

English

ISBN 10

3659284556

ISBN 13

9783659284557

Binding

Taschenbuch

Condition

Neu

Seller catalogs

B�cher

About this title

Synopsis

The only method of finding distribution function exactly, which avoids the subjective choice, is a characterization theorem. A theorem is on a characterization of a distribution function if it concludes that a set of conditions is satisfied by distribution function and only by the distribution function. In this book a family of probability distribution have been characterized through conditional expectations of the difference of two order statistics, record values and generalized order statistics conditioned on non-adjacent ordered statistics. The last three chapters based on single and product moments and also recurrence relations of moments of generalized ordered statistics and dual generalized order statistics from a general class of distribution which contains Burr XII distribution, Weibull distribution, power function distribution, Pareto distribution and exponential distribution etc. as its particular case .

About the Author

Mohammad Faizan, received his M.Sc., M.Phil. and Ph.D. in Statistics from Aligarh Muslim University, India. Dr. Faizan has to his credit several research publication in field. His major area of research in order statistics, record statistics and generalized order statistics.

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