The existence of the shortest confidence interval for the probability of success in a negative binomial distribution is shown. The method of obtaining such an interval is presented as well. The interval obtained is compared with the Clopper-Pearson shortest confidence interval for the probability in the binomial model.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-am39-2-3,
author = {Wojciech Zieli\'nski},
title = {The shortest confidence interval for the probability of success in a negative binomial model},
journal = {Applicationes Mathematicae},
volume = {39},
year = {2012},
pages = {143-149},
zbl = {1236.62016},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am39-2-3}
}
Wojciech Zieliński. The shortest confidence interval for the probability of success in a negative binomial model. Applicationes Mathematicae, Tome 39 (2012) pp. 143-149. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am39-2-3/