Mean-preserving and mean-variance-preserving transformations of the general Bernoulli distribution

Mean-preserving and mean-variance-preserving transformations of the general Bernoulli distribution

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Article ID: iaor19942514
Country: Belgium
Volume: 35
Start Page Number: 125
End Page Number: 134
Publication Date: Dec 1993
Journal: Cahiers du Centre d'tudes de Recherche Oprationnelle
Authors:
Abstract:

Despite the widespread use of numerical examples of mean-preserving increases in variance, and mean-variance-preserving increases in skewness for the general Bernoulli distribution, no formal definition of either type of transformation has been reported to date. By presenting such formal definitions, this note extends the literature on the general Bernoulli distribution.

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