Estimation of Failure Rate and its Applications

Article Preview

Abstract:

This paper introduces a new parameter estimation method, E-Bayesian estimation method, to estimate failure rate. The definition, properties, E-Bayesian estimation and hierarchical Bayesian estimation of failure rate are given. A example is also discussed. Through the example the efficiency and easiness of operation of this method are commended.

You might also be interested in these eBooks

Info:

Periodical:

Advanced Materials Research (Volumes 756-759)

Pages:

3149-3152

Citation:

Online since:

September 2013

Authors:

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2013 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] T. Ando and A. Zellner. Hierarchical Bayesian analysis of the seemingly unrelated regression and simultaneous equations models using a combination of direct monte carlo and importance sampling techniques. Bayesian Anal. vol. 5, p.65–96, (2010).

DOI: 10.1214/10-ba503

Google Scholar

[2] C. Andrieu and J. Thoms. A tutorial on adaptive MCMC. Statistics and Computing. vol. 18, p.343–37, (2008).

DOI: 10.1007/s11222-008-9110-y

Google Scholar

[3] S.P. Brooks. Markov chain Monte Carlo method and its application. The Statistician. vol. 47, pp.69-100, (1998).

Google Scholar

[4] M. Han. The Structure of Hierarchical Prior Distribution and its Applications. Chinese Operations Research and Management Science. vol. 6, pp.31-40, (1997).

Google Scholar

[5] M. Han. E-Bayesian Estimation and Hierarchical Bayesian Estimation of Failure Probability. Communications in Statistics-Theory and Methods. vol. 40, pp.3303-3314, (2011).

DOI: 10.1080/03610926.2010.498643

Google Scholar

[6] D.V. Lindley and A.F. Smith. Bayes Estimation for the Linear Model. Journal of the Royal Statistical Society. Series B. vol. 34, pp.1-41, (1972).

Google Scholar

[7] D.M. Richard. A Bayesian hierarchical model for the measurement of working memory capacity. Journal of Mathematical Psychology, vol. 55, pp.8-24, (2011).

Google Scholar

[8] C. Yau and C. Holmes. Hierarchical Bayesian nonparametric mixture models for clustering with variable relevance determination. Bayesian Analysis. vol. 6, pp.329-352, (2011).

DOI: 10.1214/11-ba612

Google Scholar