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Assigning probabilities to hypotheses in the context of a binomial distribution

Albers, C. J., Kardaun, O. J. W. F. & Schaafsma, W., 2016, In : Brazilian journal of probability and statistics. 30, 1, p. 127-144 18 p.

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Given is the outcome s of S∼B(n,p) (n known, p fully unknown) and two numbers 0<a≤b<1. Required are probabilities α<(s), αa,b(s), and α>(s) of the hypotheses H<: p<a, Ha,b: a≤p≤b, and H>: p>b, such that their sum is equal to 1. The degenerate case a=b(=c) is of special interest. A method, optimal with respect to a class of functions, is derived under Neyman–Pearsonian restrictions, and applied to a case from medicine.
Original languageEnglish
Pages (from-to)127-144
Number of pages18
JournalBrazilian journal of probability and statistics
Volume30
Issue number1
Publication statusPublished - 2016

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