The General Bernoulli Probability Density Function and the Properties of Its Central Moments

In modelling decision making under uncertainty, the central moments of one form of the Bernoulli probability density function are frequently employed as basic arguments or primitives. Paradoxically, despite the widespread use of such central moments, their properties as well as the family of their p...

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Bibliographic Details
Published in:	Journal of the Royal Statistical Society. Series D (The Statistician) Vol. 41; no. 2; pp. 155 - 159
Main Author:	Sproule, R. A.
Format:	Journal Article
Language:	English
Published:	Oxford Carfax Publishing Co 01-01-1992 Blackwell
Subjects:	Density distributions Distribution theory Exact sciences and technology Expected utility Mathematical moments Mathematics Numerical analysis Probabilities Probability and statistics Sciences and techniques of general use Statistics Probability density Binomial distribution Statistical moment Decision theory Utility function
Online Access:	Get full text
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Summary:	In modelling decision making under uncertainty, the central moments of one form of the Bernoulli probability density function are frequently employed as basic arguments or primitives. Paradoxically, despite the widespread use of such central moments, their properties as well as the family of their parent density function have not been investigated systematically. This oversight serves as the key motivation for the present note.
ISSN:	0039-0526 1467-9884
DOI:	10.2307/2348247