Title : ( Classical and Bayesian estimation of P(X>Y) for Lomax distribution based on upper records )
Authors: Simindokht Baratpour Bajgiran ,
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Abstract
Inference procedure of stress-Strength, R=P(X>Y), has many applications in a variety fields. The aim of this paper is to study the estimation of the Stress-Strength R=P(X>Y) based on upper records, when X and Y are independent random variables that follow Lomax distribution with different parameters. Maximum likelihood estimator, confidence interval based on pivot, Bayes estimator and highest posterior density (HPD) confidence interval for R are obtained. Monte Carlo simulations are performed to compare the different proposed methods and the findings are given.
Keywords
, STRESS-strength parameter, Records, Maximum Likelihood estimation, Bayesian estimation, Confidence interval.
@inproceedings{paperid:1039558,
author = {Baratpour Bajgiran, Simindokht},
title = {Classical and Bayesian estimation of P(X>Y) for Lomax distribution based on upper records},
booktitle = {8th Annual International Conference on Statistics},
year = {2014},
location = {آتن},
keywords = {STRESS-strength parameter; Records; Maximum Likelihood estimation; Bayesian estimation; Confidence interval.},
}
%0 Conference Proceedings
%T Classical and Bayesian estimation of P(X>Y) for Lomax distribution based on upper records
%A Baratpour Bajgiran, Simindokht
%J 8th Annual International Conference on Statistics
%D 2014
