Annals of the Institute of Statistical Mathematics, Year (2017-2) , Pages (1-22)

Title : ( Statistical inferences based on independent and non-identically distributed progressively Type-II censored order statistics )

Authors: Mostafa Razmkhah , saeide simriz ,

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Abstract

Suppose that the failure times of the units placed on a life-testing experiment are independent but non-identically distributed random variables. Under progressively Type-II censoring scheme, distributional properties of the proposed random variables are presented and some inferences are made. Assuming the random variables come from a proportional hazard rate model, the formulas are simplified and also the amount of Fisher information about the common parameters of this family is calculated. The results are also extended to a fixed covariates model. The performance of the proposed procedure is investigated via a real data set. Some numerical computations are also presented to study the effect of the proportionality rates in view of the Fisher information criterion. Finally, some concluding remarks are stated.

Keywords

, Fisher information, Maximum likelihood estimator, Cramer-Rao lower bound, Proportional hazard rate family, Exponential family, Weibull distribution, Fixed covariates model
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@article{paperid:1061376,
author = {Razmkhah, Mostafa and Simriz, Saeide},
title = {Statistical inferences based on independent and non-identically distributed progressively Type-II censored order statistics},
journal = {Annals of the Institute of Statistical Mathematics},
year = {2017},
month = {February},
issn = {0020-3157},
pages = {1--22},
numpages = {21},
keywords = {Fisher information; Maximum likelihood estimator; Cramer-Rao lower bound; Proportional hazard rate family; Exponential family; Weibull distribution; Fixed covariates model},
}

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%0 Journal Article
%T Statistical inferences based on independent and non-identically distributed progressively Type-II censored order statistics
%A Razmkhah, Mostafa
%A Simriz, Saeide
%J Annals of the Institute of Statistical Mathematics
%@ 0020-3157
%D 2017

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