Received April 5, 2012, Revised August 8, 2012, Accepted September 2, 2012 Abstract: Distributional properties of two non-adjacent dual generalized order statistics have been used to characterize distributions. Further, one sided contraction and dilation for the dual generalized order statistics are discussed and then the results are deduced for generalized order statistics, order statistics an...

In a wide subclass of generalized order statistics, representations of marginal density and distribution functions are developed. The results are applied to obtain several relations, such as recurrence relations, and explicit expressions for the moments of generalized order statistics from Pareto, power function and Weibull distributions. Moreover, characterizations of exponential distributions...

Statistics A Journal of Theoretical and Applied Statistics Publication details, including instructions for authors and subscription information: http://www.informaworld.com/smpp/title~content=t713682269 Distributions of exceedances of generalized order statistics Ismihan Bairamov a; Halil Tanil b a Department of Mathematics Izmir, University of Economics, Izmir, Turkey b Department of Statistic...

The Hellinger metric and several divergence measures for multivariate density functions are applied to measure distances between different models of generalized order statistics, such as common order statistics, sequential order statistics, progressively type-II censored order statistics, record values, k-th record values, and Pfeifer record values. Explicit expressions of divergences and dista...

Ordinary order statistics and record values, among others, are included in the model of generalized order statistics introduced in Kamps (1995). In this paper, we establish stochastic comparisons among spacings of generalized order statistics, which extend and complete some known results in the literature.

Let X be a non-negative random variable (r.v.) with cumulative distribution function (cdf) F. Suppose X(r, n,m, k), (r = 1, 2, . . . , n), m is a real number and k ≥ 1, is the rth smallest generalized order statistic. Several distributional properties of the generalized order statistics from exponential distribution are given. Some characterizations of the exponential distribution based on the ...

The concept of generalized order statistics (GOSs) was introduced as a unified approach to a variety of models of ordered random variables. The purpose of this paper is to investigate conditions on the underlying distribution functions and the parameters on which GOSs are based, to establish Shaked-Shanthikumar multivariate dispersive ordering of GOSs from one sample and Khaledi-Kochar multivar...