Table of Contents
International Journal of Quality, Statistics, and Reliability
Volume 2011, Article ID 395034, 8 pages
http://dx.doi.org/10.1155/2011/395034
Research Article

Bayes Estimation of Change Point in Discrete Maxwell Distribution

Department of Statistics, Bhavnagar University, Bhavnagar 364002, India

Received 28 December 2010; Revised 13 May 2011; Accepted 13 May 2011

Academic Editor: Ajit K. Verma

Copyright © 2011 Mayuri Pandya and Hardik Pandya. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

A sequence of independent lifetimes 𝑋1,,𝑋𝑚,𝑋𝑚+1,,𝑋𝑛 was observed from Maxwell distribution with reliability 𝑟1(𝑡) at time 𝑡 but later, it was found that there was a change in the system at some point of time 𝑚 and it is reflected in the sequence after 𝑋𝑚 by change in reliability 𝑟2(𝑡) at time 𝑡. The Bayes estimators of 𝑚, 𝜃1, 𝜃2 are derived under different asymmetric loss functions. The effects of correct and wrong prior information on the Bayes estimates are studied.