Communications in Statistics - Theory and Methods, ( ISI ), Volume (46), No (7), Year (2017-4) , Pages (3200-3216)

Title : ( Comparison of preliminary test estimators based on generalized order statistics from proportional hazard family using Pitman measure of closeness )

Authors: Jafar Ahmadi , elham mirfarah , Ahmad Parsian ,

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Abstract

In this paper‎, ‎based on generalized order statistics from a family of proportional hazard rate model‎, ‎we use a statistical test to generate a class of preliminary test estimators and shrinkage preliminary test estimators for the proportionality parameter. ‎These estimators are compared under Pitman measure of closeness as well as mean squared error criteria‎. ‎Although the Pitman measure of closeness suffers from non-transitivity‎, ‎in the first class of estimators‎, ‎it has the transitivity property and we obtain the Pitman-closest estimator‎. ‎Analytical and graphical methods are used to show the range of parameter in which preliminary test and shrinkage preliminary test estimators perform better than their competitor estimators‎. ‎Results reveal that when the prior information is not too far from its real value the proposed estimators are superior based on both mentioned criteria‎.

Keywords

, Proportional hazard rat model‎, ‎Preliminary test estimator‎, ‎Shrinkage preliminary test estimator‎, ‎Mean squared error‎, ‎Pitman measure of closeness‎, ‎ Generalized order statistics.
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@article{paperid:1048291,
author = {Ahmadi, Jafar and Mirfarah, Elham and Ahmad Parsian},
title = {Comparison of preliminary test estimators based on generalized order statistics from proportional hazard family using Pitman measure of closeness},
journal = {Communications in Statistics - Theory and Methods},
year = {2017},
volume = {46},
number = {7},
month = {April},
issn = {0361-0926},
pages = {3200--3216},
numpages = {16},
keywords = {Proportional hazard rat model‎; ‎Preliminary test estimator‎; ‎Shrinkage preliminary test estimator‎; ‎Mean squared error‎; ‎Pitman measure of closeness‎; ‎ Generalized order statistics.},
}

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%0 Journal Article
%T Comparison of preliminary test estimators based on generalized order statistics from proportional hazard family using Pitman measure of closeness
%A Ahmadi, Jafar
%A Mirfarah, Elham
%A Ahmad Parsian
%J Communications in Statistics - Theory and Methods
%@ 0361-0926
%D 2017

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