Geodesic
The shortest randomized confidence interval for probability of success in a negative binomial model
Wojciech Zieliński1
1 Department of Econometrics and Statistics Warsaw University of Life Sciences Nowoursynowska 159 02-776 Warszawa, Poland
Applicationes Mathematicae, Tome 41 (2014) no. 1, pp. 43-49.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Zieliński (2012) showed the existence of the shortest confidence interval for a probability of success in a negative binomial distribution. The method of obtaining such an interval was presented as well. Unfortunately, the confidence interval obtained has one disadvantage: it does not keep the prescribed confidence level. In the present article, a small modification is introduced, after which the resulting shortest confidence interval does not have that disadvantage.
DOI : 10.4064/am41-1-4
Keywords: zieli ski showed existence shortest confidence interval probability success negative binomial distribution method obtaining interval presented unfortunately confidence interval obtained has disadvantage does keep prescribed confidence level present article small modification introduced after which resulting shortest confidence interval does have disadvantage

Wojciech Zieliński 1

1 Department of Econometrics and Statistics Warsaw University of Life Sciences Nowoursynowska 159 02-776 Warszawa, Poland 
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Wojciech Zieliński. The shortest randomized confidence interval for probability of success
 in a negative binomial model. Applicationes Mathematicae, Tome 41 (2014) no. 1, pp. 43-49. doi : 10.4064/am41-1-4. http://geodesic.mathdoc.fr/articles/10.4064/am41-1-4/

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