Communications in Statistics - Theory and Methods, ( ISI ), Volume (48), No (18), Year (2018-9) , Pages (4569-4580)

Title : ( Sequential order statistics from dependent random variables )

Authors: Mohammad Baratnia , Mahdi Doostparast ,

Access to full-text not allowed by authors

Citation: BibTeX | EndNote

Abstract

‎This paper provides an extension for ``sequential order statistics\\\'\\\' (SOS) introduced by KAMPS. ‎It is called ``developed sequential order statistics\\\'\\\' (DSOS) and is useful for describing lifetimes of engineering systems when component lifetimes are dependent‎. ‎Explicit expressions for the joint density function‎, ‎the marginal distributions and the means of DSOS are derived‎. ‎Under the well known ``conditional proportional hazard rate\\\'\\\' (CPHR) model and the Gumbel families of copulas for dependency among component lifetimes‎, ‎some findings are reported‎. ‎For example‎, ‎it is proved that the joint density functions of DSOS and SOS have the same structure‎. ‎Various illustrative examples are also given‎.

Keywords

, ‎Sequential order statistics‎, ‎Lifetime models‎, ‎r-out-of-n system‎, ‎Gumbel copula; Estimation‎.
برای دانلود از شناسه و رمز عبور پرتال پویا استفاده کنید.

@article{paperid:1069170,
author = {Baratnia, Mohammad and Doostparast, Mahdi},
title = {Sequential order statistics from dependent random variables},
journal = {Communications in Statistics - Theory and Methods},
year = {2018},
volume = {48},
number = {18},
month = {September},
issn = {0361-0926},
pages = {4569--4580},
numpages = {11},
keywords = {‎Sequential order statistics‎; ‎Lifetime models‎; ‎r-out-of-n system‎; ‎Gumbel copula; Estimation‎.},
}

[Download]

%0 Journal Article
%T Sequential order statistics from dependent random variables
%A Baratnia, Mohammad
%A Doostparast, Mahdi
%J Communications in Statistics - Theory and Methods
%@ 0361-0926
%D 2018

[Download]