پژوهش های آماری ایران-Journal of Statistical Research of Iran, Volume (8), No (1), Year (2011-8) , Pages (49-62)

Title : ( On performance of reconstructed middle order statistics in exponential distribution )

Authors: Mostafa Razmkhah , Bahareh Khatib Astaneh , Jafar Ahmadi ,

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Abstract

In a number of life-testing experiments, there exist situations where the monitoring breaks down for a temporary period. In such cases, some part of the ordered observations, for example the middle one, is censored and the only outcomes available for analysis consist of the lower and upper order statistics. Therefore, the experimenter may not gain the complete information on failure times for all experimental units. So, the accuracy of some statistical inferences may be decreases. In this paper, the effect of reconstructing missing order statistics on the performance of the maximum likelihood estimator (MLE) of the mean of the exponential distribution is investigated. To illustrate the proposed procedure in the paper, a real example is presented and using a simulation study, it will be shown that the reconstructing missing order statistics improves the estimation of the parameter of interest.

Keywords

Fisher information; Conditional median (mean) reconstructor; Convex combination reconstructor
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@article{paperid:1026649,
author = {Razmkhah, Mostafa and Khatib Astaneh, Bahareh and Ahmadi, Jafar},
title = {On performance of reconstructed middle order statistics in exponential distribution},
journal = {پژوهش های آماری ایران-Journal of Statistical Research of Iran},
year = {2011},
volume = {8},
number = {1},
month = {August},
issn = {1735-1294},
pages = {49--62},
numpages = {13},
keywords = {Fisher information; Conditional median (mean) reconstructor; Convex combination reconstructor},
}

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%0 Journal Article
%T On performance of reconstructed middle order statistics in exponential distribution
%A Razmkhah, Mostafa
%A Khatib Astaneh, Bahareh
%A Ahmadi, Jafar
%J پژوهش های آماری ایران-Journal of Statistical Research of Iran
%@ 1735-1294
%D 2011

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