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Characterizations of distributions via order statistics with random exponential shifts
characterizations order statistics exponential distribution generalized logistic distribution
2011/9/19
Abstract: A class of probability distributions is characterized via equalities in law between two order statistics shifted by independent exponential variables. An explicit formula for the quintile fu...
On moments of lower generalized order statistics from exponentiated Pareto distribution and its characterization
Lower generalized order statistics lower records single moments
2010/11/1
In this paper we establish explicit expressions and some recurrence relations for single and product moments of lower generalized order statistics from exponentiated Pareto distribution. The results i...
Shannon entropy for the Feller-Pareto (FP) family and order statistics of FP subfamilies
Burr distribution Entropy Feller-Pareto distribution
2010/9/20
In this paper, we derive the exact analytical expressions of entropy for the FellerPareto(FP) family and order statistics of FP subfamilies. The FP family is a very general unimodal distribution which...
Higher order statistics in the annulus square billiard: transport and polyspectra
Higher order statistics annulus square billiard: transport polyspectra
2010/12/15
Classical transport in a doubly connected polygonal billiard, i.e. the annulus square billiard, is considered. Dynamical properties of the billiard flow with a fixed initial direction are analyzed by ...
Distributions of order statistics
Order statistics Probability function Probability density function
2010/9/13
In this study, we examined distributions of order statistics corresponding to identically, non-identically, dependent, independent, discrete, continuous and discontinuous random variables and the rela...
A Bayesian analysis of order statistics from the generalized Rayleigh distribution
Bayes estimator LINEX loss function Posterior distribution
2010/9/14
The Bayes estimators for the parameter, reliability function of the generalized Rayleigh distribution are obtained. These estimators are obtained on the basis of square error and LINEX (linear-exponen...
Sharp Bounds on Quasiconvex Moments of Generalized Order Statistics
Generalized Order Statistics Quasiconvex Moments Moriguti Inequality Steffensen Inequality
2008/6/26
Sharp lower and upper bounds for quasiconvex moments of generalized order statistics are proven by the use of rearranged Moriguti's inequality. Even in the second moment case, the method yields improv...