Article,

On scale mixtures of normal distributions

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Biometrika, 74 (3): 646-648 (1987)
DOI: 10.1093/biomet/74.3.646

Abstract

The exponential power family of distributions of Box & Tiao (1973) is shown to be a subset of the class of scale mixtures of normals. The corresponding mixing distributions are explicitly obtained, identifying a close relationship between the exponential power family and a further class of normal scale mixtures, namely the stable distributions.

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