On truncated generalized Cauchy distribution
Abstract
In this paper, we propose a truncated version of generalized Cauchy distribution suggested by Rider(1957) in a special setting. One possible use for the proposed model is in life-testing where the domain of de¯nition is not only non-negative but also guarantees no failure before a given time (truncated parameter). The parameters, reliability and failure rate functions are estimated using the maximum likelihood and Bayes methods. The Bayes estimates are obtained under the squared-error and liner exponential (LINEX) loss functions. The computations have been carried out using the Markov Chain Monte Carlo (MCMC) algorithm.
Copyright © 2012 Saieed F. Ateya, Essam K. AL-Hussaini. 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.
Cite this article
S. F. Ateya, E. K. AL-Hussaini, On truncated generalized Cauchy distribution, J. Math. Comput. Sci. 2 (2012), 289–304.
BibTeX
@article{Ateya2012,
author = {Ateya, Saieed F. and AL-Hussaini, Essam K.},
title = {On truncated generalized Cauchy distribution},
journal = {J. Math. Comput. Sci.},
volume = {2},
year = {2012},
pages = {289--304},
doi = {}
}