Equivariant estimation of quantile vector of two normal populations with a common mean

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Hacettepe Journal of Mathematics and Statistics
Volume:48 Issue:1
Equivariant estimation of quantile vector of two normal populations with a common mean

Equivariant estimation of quantile vector of two normal populations with a common mean

Authors : Manas Ranjan TRİPATHY, Adarsha Kumar JENA, Somesh KUMAR

Pages : 255-273

View : 24 | Download : 11

Publication Date : 2019-02-01

Article Type : Research Paper

Abstract :The problem of estimating quantile vector $\theta=insert ignore into journalissuearticles values(\theta_1,\theta_2);$ of two normal populations, under the assumption that the means insert ignore into journalissuearticles values($\mu_i$s); are equal has been considered. Here $\theta_i=\mu+\eta\sigma_i,$ $i=1,2,$ denotes the $p^{th}$ quantile of the $i^{th}$ population, where $\eta=\Phi^{-1}insert ignore into journalissuearticles values(p);$, $0 Keywords : Equivariant estimator, Estimation of quantiles, Complete class results, Common mean, Inadmissibility, Relative risk comparison

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