Browse > Article
http://dx.doi.org/10.7465/jkdi.2013.24.6.1455

Bayesian analysis of an exponentiated half-logistic distribution under progressively type-II censoring  

Kang, Suk Bok (2Department of Statistics, Yeungnam University)
Seo, Jung In (2Department of Statistics, Yeungnam University)
Kim, Yongku (Department of Statistics, Kyungpook National University)
Publication Information
Journal of the Korean Data and Information Science Society / v.24, no.6, 2013 , pp. 1455-1464 More about this Journal
Abstract
This paper develops maximum likelihood estimators (MLEs) of unknown parameters in an exponentiated half-logistic distribution based on a progressively type-II censored sample. We obtain approximate confidence intervals for the MLEs by using asymptotic variance and covariance matrices. Using importance sampling, we obtain Bayes estimators and corresponding credible intervals with the highest posterior density and Bayes predictive intervals for unknown parameters based on progressively type-II censored data from an exponentiated half logistic distribution. For illustration purposes, we examine the validity of the proposed estimation method by using real and simulated data.
Keywords
Bayes predictive interval; exponentiated half-logistic distribution; HPD credible interval; importance sampling; progressively type-II censored sample;
Citations & Related Records
Times Cited By KSCI : 6  (Citation Analysis)
연도 인용수 순위
1 Balakrishnan, N. and Wong, K. H. T. (1991). Approximate MLEs for the location and scale parameters of the half-logistic distribution with type-ll right censoring. IEEE Transactions on Reliability, 40, 140-145.   DOI   ScienceOn
2 Chen, M. H. and Shao, Q. M. (1999). Monte Carlo estimation of Bayesian credible and HPD intervals. Journal of Computational and Graphical Statistics. 8, 69-92.
3 Kang, S. B., Cho, Y. S., and Han, J. T. (2008). Estimation for the half logistic distribution under progres-sively type-ll censoring. Communications of the Korean Statistical Society, 15, 815-823.   과학기술학회마을   DOI   ScienceOn
4 Kang, S. B., Cho, Y. S., and Han, J. T. (2009). Estimation for the half logistic distribution based on double hybrid censored samples. Communications of the Korean Statistical Society, 16, 1055-1066.   과학기술학회마을   DOI   ScienceOn
5 Kang, S. B. and Seo, J. I (2011). Estimation in an exponentiated half logistic distribution under progressively type-II censoring. Communications of the Korean Statistical Society, 18, 657-666.   과학기술학회마을   DOI   ScienceOn
6 Kim, Y., Kang, S. B., and Seo, J. I. (2011). Bayesian estimations on the exponentiated distribution family with type-II right censoring. Communications of the Korean Statistical Society, 18, 603-613.   과학기술학회마을   DOI   ScienceOn
7 Kim, Y., Kang, S. B., and Seo, J. I. (2011). Bayesian estimations on the exponentiated half triangle distri-bution under type-I hybrid censoring. Journal of the Korean Data & Information Science Society, 22, 565-574.   과학기술학회마을
8 Kim, Y., Kang, S. B., and Seo, J. I. (2011). Bayesian estimation in the generalized half logistic distribution under progressively type-II censoring. Journal of the Korean Data & Information Science Society, 22, 977-987.   과학기술학회마을
9 Lindley, D. V. (1980). Approximate Bayesian methods estimations. In Bayesian Statistics, edited by Bernardo, J. M., De Groot, M. H., Lindley, D. V. and Smith, A. F. M., Valencia Press, Spain.
10 Nelson, W. B. (1982). Applied life data analysis, John Willey & Sons, New York.
11 Balakrishnan, N. and Puthenpura, N. (1986). Best linear unbiased estimators of location and scale param-eters of the half logistic distribution. Journal of Statistics and Computer Simulation, 25, 193-204.   DOI
12 Alaboud, F. M. (2009). Bayesian estimations for the extreme value distribution using progressive censored data and asymmetric loss. International Mathematical Forum, 8, 1603-1622.
13 Balakrishnan, N. and Kannan, N. (2001). Point and interval estimation for the logistic distribution based on progressively type-ll censored samples. In Handbook of Statistics, 20, edited by Balakrishnan, N. and Rao, C. R., Elsevier, Oxford, 431-456.
14 Balakrishnan, N., Kannan, N., Lin, C. T., and Wu, S. J. S. (2004). Inference for the extreme value distri-bution under progressively type-II censoring. Journal of Statistical Computation and Simulation, 74, 25-45.   DOI   ScienceOn
15 Balakrishnan, N. and Sandhu, R. A. (1995). A simple simulational algorithm for generating progressively type-ll censored samples. The American Statistician, 49, 229-230.