سیزدهمین کنفرانس امار ایران , 2016-08-23

Title : ( Some Results on Stochastic Properties of Spacings of Generalized Order Statictics )

Authors: zohreh zamani , Gholam Reza Mohtashami Borzadaran , Mohammad Amini ,

Citation: BibTeX | EndNote

Abstract

Sample spacings play important roles in reliability theory, life testing, data analysis, goodness-of-fit tests, and other related areas. Generalized order statistics unify the study of order statistics, record values, k-records, Pfeifer’s records and several other cases of ordered random variables, so it is natural and interesting to obtain stochastic properties of spacings of generalized order statistics by analogy with ordinary order statistics. In this paper we prove when X(1;n; emn;k) is increasing mean residual life (IMRL), the spacings of generalized order statistics ordered by variance, and that the covariance between successive spacings is nonnegative. Also, we compare variance of successive generalized order statistics. Furthermore, the mean residual life order between the normalized spacings of generalized order statistics from two sample sequences are built as well.

Keywords

, Generalized order statistics, Mean residual life order, Excess wealth order, DMRL, IMRL.
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@inproceedings{paperid:1061248,
author = {Zamani, Zohreh and Mohtashami Borzadaran, Gholam Reza and Amini, Mohammad},
title = {Some Results on Stochastic Properties of Spacings of Generalized Order Statictics},
booktitle = {سیزدهمین کنفرانس امار ایران},
year = {2016},
location = {کرمان, IRAN},
keywords = {Generalized order statistics; Mean residual life order; Excess wealth order; DMRL; IMRL.},
}

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%0 Conference Proceedings
%T Some Results on Stochastic Properties of Spacings of Generalized Order Statictics
%A Zamani, Zohreh
%A Mohtashami Borzadaran, Gholam Reza
%A Amini, Mohammad
%J سیزدهمین کنفرانس امار ایران
%D 2016

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