Moments and Their Applications in Ordered Statistics

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 .

Autorentext

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.