Constrained confidence estimation of the binomial p via tail functions

Borek D. Puza, Terence O'Neill

Research output: Contribution to journalArticleResearchpeer-review

Abstract

A methodology is proposed for `exact' confidence estimation of the binomial parameter p when that parameter is constrained. It is shown how the technique of tail functions can be used to construct a suitable generalised Clopper-Pearson confidence interval when p is known to lie between two bounds, and how the interval can be engineered for optimality in terms of prior expected length. An example is provided which illustrates the applicability of the theory to gambling.
Original languageEnglish
Pages (from-to)43-48
Number of pages6
JournalMathematical Scientist
Volume34
Issue number1
Publication statusPublished - 2009

Cite this

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title = "Constrained confidence estimation of the binomial p via tail functions",
abstract = "A methodology is proposed for `exact' confidence estimation of the binomial parameter p when that parameter is constrained. It is shown how the technique of tail functions can be used to construct a suitable generalised Clopper-Pearson confidence interval when p is known to lie between two bounds, and how the interval can be engineered for optimality in terms of prior expected length. An example is provided which illustrates the applicability of the theory to gambling.",
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Constrained confidence estimation of the binomial p via tail functions. / Puza, Borek D.; O'Neill, Terence.

In: Mathematical Scientist, Vol. 34, No. 1, 2009, p. 43-48.

Research output: Contribution to journalArticleResearchpeer-review

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AU - O'Neill, Terence

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AB - A methodology is proposed for `exact' confidence estimation of the binomial parameter p when that parameter is constrained. It is shown how the technique of tail functions can be used to construct a suitable generalised Clopper-Pearson confidence interval when p is known to lie between two bounds, and how the interval can be engineered for optimality in terms of prior expected length. An example is provided which illustrates the applicability of the theory to gambling.

M3 - Article

VL - 34

SP - 43

EP - 48

JO - Mathematical Scientist

JF - Mathematical Scientist

SN - 0312-3685

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