Confidence Regions for the Multinomial Parameter With Small Sample Size

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Confidence regions for the multinomial parameter with small sample size

Consider the observation of n iid realizations of an experiment with d ≥ 2 possible outcomes, which corresponds to a single observation of a multinomial distribution Md(n,p) where p is an unknown discrete distribution on {1, . . . , d}. In many applications, the construction of a confidence region for p when n is small is crucial. This concrete challenging problem has a long history. It is well...

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ar X iv : 0 80 5 . 19 71 v 1 [ st at . C O ] 1 4 M ay 2 00 8 Confidence regions for the multinomial parameter with small sample size

Consider the observation of n iid realizations of an experiment with d ≥ 2 possible outcomes, which corresponds to a single observation of a multinomial distribution Md(n, p) where p is an unknown discrete distribution on {1, . . . , d}. In many applications in Biology, Medicine, Physics, and Engineering, the construction of a confidence region for p when n is small is crucial. This challenging...

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ژورنال

عنوان ژورنال: Journal of the American Statistical Association

سال: 2009

ISSN: 0162-1459,1537-274X

DOI: 10.1198/jasa.2009.tm08152