双片正态、双正态或双高斯分布:其起源与重新发现
统计方法学
2014-05-21 v1
摘要
本文追溯了双片正态分布的历史,从其起源于 Gustav Theodor Fechner 的遗著《集体质量论》(Kollektivmasslehre, 1897) 到其后的重新发现与推广。文章指出,Karl Pearson 对 Fechner 原创性的否认,以及一个世纪后 Oscar Sheynin 的重申,均缺乏依据。
引用
@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}
}
备注
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)