Statistical Science

The Two-Piece Normal, Binormal, or Double Gaussian Distribution: Its Origin and Rediscoveries

Kenneth F. Wallis

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This paper traces the history of the two-piece normal distribution from its origin in the posthumous Kollektivmasslehre (1897) of Gustav Theodor Fechner to its rediscoveries and generalisations. The denial of Fechner’s originality by Karl Pearson, reiterated a century later by Oscar Sheynin, is shown to be without foundation.

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Statist. Sci., Volume 29, Number 1 (2014), 106-112.

First available in Project Euclid: 9 May 2014

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Gustav Theodor Fechner Gottlob Friedrich Lipps Francis Ysidro Edgeworth Karl Pearson Francis Galton Oscar Sheynin


Wallis, Kenneth F. The Two-Piece Normal, Binormal, or Double Gaussian Distribution: Its Origin and Rediscoveries. Statist. Sci. 29 (2014), no. 1, 106--112. doi:10.1214/13-STS417.

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