The shortest randomized confidence interval for probability of success in a negative binomial model

Wojciech Zieliński

Applicationes Mathematicae (2014)

  • Volume: 41, Issue: 1, page 43-49
  • ISSN: 1233-7234

Abstract

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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.

How to cite

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Wojciech Zieliński. "The shortest randomized confidence interval for probability of success in a negative binomial model." Applicationes Mathematicae 41.1 (2014): 43-49. <http://eudml.org/doc/280073>.

@article{WojciechZieliński2014,
abstract = {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.},
author = {Wojciech Zieliński},
journal = {Applicationes Mathematicae},
keywords = {probability of success; negative binomial distribution; Pascal distribution; confidence interval; shortest confidence interval},
language = {eng},
number = {1},
pages = {43-49},
title = {The shortest randomized confidence interval for probability of success in a negative binomial model},
url = {http://eudml.org/doc/280073},
volume = {41},
year = {2014},
}

TY - JOUR
AU - Wojciech Zieliński
TI - The shortest randomized confidence interval for probability of success in a negative binomial model
JO - Applicationes Mathematicae
PY - 2014
VL - 41
IS - 1
SP - 43
EP - 49
AB - 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.
LA - eng
KW - probability of success; negative binomial distribution; Pascal distribution; confidence interval; shortest confidence interval
UR - http://eudml.org/doc/280073
ER -

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