The problem considered is that of unbiased estimation of reliability for a two-parameter exponential distribution under time censored sampling. We give necessary and sufficient conditions for the existence of uniformly minimum variance unbiased estimator and also provide a characterization of a complete class of unbiased estimators in situations where unbiased estimators exist.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-am37-1-7,
author = {S. Sengupta},
title = {Unbiased estimation of reliability for two-parameter exponential distribution under time censored sampling},
journal = {Applicationes Mathematicae},
volume = {37},
year = {2010},
pages = {99-111},
zbl = {1184.62169},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am37-1-7}
}
S. Sengupta. Unbiased estimation of reliability for two-parameter exponential distribution under time censored sampling. Applicationes Mathematicae, Tome 37 (2010) pp. 99-111. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am37-1-7/