Abstract
In this article, Bayes estimation of location parameters under restriction is brought forth. Since Bayes estimator is closely connected with the first value of order statistics that can be observed, it is possible to consider “complete data” method, through which the pseudo-value of first order statistics and pseudo-right censored samples can be obtained. Thus the results under Type- II right censoring can be used directly to get more accurate estimators by Bayes method.
Similar content being viewed by others
References
Balakrishnan, N., On the maximum likelihood estimation of the location and scale parameters of exponential distribution based on multiple Type II censored samples, Journal of Applied Statistics, 1990, 17: 55–61.
Balasubramanian, K. and Balakrishnan, N., Estimation for one and two-parameter exponential distributions under multiple Type II censoring, Statistical Papers, 1992,33:203–216.
Fei, H. and Kong, F., Interval estimations for one-and two-parameter exponential distributions under multiple Type II censoring, Comm. Statist. Theory Methods, 1994,23:1717–1733.
Jin, C. and Pal, N. A note on the location parameters of two exponential distributions under order restrictions, Comm. Statist. Theory Methods, 1991,20(10):3147–3158.
Martz, H.F. and Waller, R.A., Bayesian Reliability Analysis, John Wiely & Sons, New York, 1980.
Pal, N. and Kushary, D., On order restricted location parameters of two exponental distributions, Statist. Decisions, 1992,10:133–152.
Shen Yike and Fei Heliang, Estimation of order restricted location parameters of two-exponential distributions under Type-II right censoring, Proceedings of the fifth symposium on reliability, 1995,33–42.
Shen Yike and Fei Heliang, On order restricted location parameters of two exponential distributions under multiple Type- II censoring (unpublished).
Whitten, B.J., Cohen, A.C. and Sundaraiyer, V., A Pseudo-complete technique for estimation from censored samples, Comm. Statist. Theory Methods, 1988,17(7):2239–2258.
Author information
Authors and Affiliations
Additional information
The research is supported by the National Natural Science Foundation of China (19671058).
Rights and permissions
About this article
Cite this article
Yike, S., Heliang, F. Estimating of order-restricted location parameters of two-exponential distributions under multiple type-II censoring. Appl. Math. Chin. Univ. 14, 51–56 (1999). https://doi.org/10.1007/s11766-999-0054-6
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/s11766-999-0054-6