The Two-Piece Normal, Binormal, or Double Gaussian Distribution: Its Origin and Rediscoveries
Methodology
2014-05-21 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1405.4995,
title = {The Two-Piece Normal, Binormal, or Double Gaussian Distribution: Its Origin and Rediscoveries},
author = {Kenneth F. Wallis},
journal= {arXiv preprint arXiv:1405.4995},
year = {2014}
}
Comments
Published in at http://dx.doi.org/10.1214/13-STS417 the Statistical Science (http://www.imstat.org/sts/) by the Institute of Mathematical Statistics (http://www.imstat.org)