Browse > Article

Bayesian estimations on the exponentiated half triangle distribution under Type-I hybrid censoring  

Kim, Yong-Ku (Department of Statistics, Yeungnam Univeristy)
Kang, Suk-Bok (Department of Statistics, Yeungnam Univeristy)
Seo, Jung-In (Department of Statistics, Yeungnam Univeristy)
Publication Information
Journal of the Korean Data and Information Science Society / v.22, no.3, 2011 , pp. 565-574 More about this Journal
Abstract
The exponenetiated distribution has been used in reliability and survival analysis especially when the data is censored. In this paper, we derive Bayesian estimation of shape parameter and reliability function in the exponenetiated half triangle distribution based on Type-I hybrid censored data. Here we consider conjugate prior and noninformative prior and obtained corresponding posterior distributions. As an illustration, the mean square errors of the estimates are computed. Comparisons are made between these estimators using Monte Carlo simulation study.
Keywords
Bayesian estimation; exponenetiated half triangle distribution; hybrid Type-I censoring; reliability;
Citations & Related Records
Times Cited By KSCI : 3  (Citation Analysis)
연도 인용수 순위
1 Kundu, D. (2007). On hybrid censored Weibull distribution. Journal of Statistical Planning and Inference, 137, 2127-2142.   DOI   ScienceOn
2 Varian, H. R. (1975). A Bayesian approach to real estate assessment. In Studies in Bayesian Econometrics and Statistics in Honor of Leonard J. Savage, edited by S. E. Feinberg and A. Zellner, North Holland, Amsterdam, 195-208.
3 Zellner, A. (1986). Bayesian estimation and prediction using asymmetric loss function. Journal of American Statistical Association, 81, 446-451.   DOI   ScienceOn
4 Han, J. T. and Kang, S. B. (2008). Estimation for the half-triangle distribution based on progressively type-II censored samples. Journal of the Korean Data & Information Science Society, 19, 951-957.
5 Johnson, D. (1997). The triangular distribution as a proxy for the beta distribution in risk analysis. The Statistician, 46, 387-398.
6 Epstein, B. (1954). Truncated life tests in the exponential case. Annals of the Institute of Statistical Mathematics, 25, 555-564.   DOI   ScienceOn
7 Kang, S. B. (2007). Estimation in a half-triangle distribution based on multiply Type-II censored samples. Journal of the Korean Data & Information Science Society, 18, 793-801.
8 Kang, S. B., Cho, Y. S., and Han, J. T. (2009). Estimation for the half triangle distribution based on Type-I hybrid censored samples. Journal of the Korean Data & Information Science Society, 20, 961-969.
9 Balakrishnan, N. and l. Nevzorov, V. B. (2003). A primer on statistical distribution, John Willey & Sons, Inc., New York.