Some Moments Problems in Order Statistics Records and Generalized Order Statistics

Abstract

The present thesis entitled Some Moments Problems in Order Statistics, Records and newlineGeneralized Order Statistics is being submitted for the award of the degree of Doctor of Philosophy (Statistics). This study embodies a simple approach to the exact expressions and recurrence relations for single and product moments of various ordered random variables like Order Statistics, Records and Generalized Order Statistics (GOS) from some specific continuous distributions. Further algorithms are defined to make the calculations using these equations. The distributions under consideration are: Exponential distribution, Complementary Exponential-Geometric distribution, Erlang Truncated Exponential distribution, Extended Exponential distribution, Pareto distribution and Generalized Pareto newlinedistribution. newline