Carl Liebermeister's hypergeometric tails
type: Item
instance of: scholarly article
title: Carl Liebermeister's hypergeometric tails
zbMATH Open document ID: 0813.01006
author: Eugene Seneta
published in: Historia Mathematica
publication date: 1995-05-21T00:00:00Z
review text: In 1877, in a medical context, Liebermeister studied the possibility of distinguishing between equality and inequality of success probabilities in two (small) series of binomial trials. Starting from a Laplacian formula based on the existence of a uniform prior distribution and assuming that the two probabilities coincided, he considered the size of the tail probability (of the hypergeometric distribution). The author reconstructs Liebermeister's insufficient intermediate calculations and indicates that his test can still be applied and that his main formula has hardly ever reappeared.
Mathematics Subject Classification ID: 01A55
Mathematics Subject Classification ID: 62-03
zbMATH DE Number: 724695
zbMATH Keywords: hypergeometric distribution
reviewed by: O. B. Sheĭnin
MaRDI profile type: Publication
full work available at URL: hmat.1994.1033
OpenAlex ID: W2070213262
cites work: Q4760447
cites work: Q4002074
cites work: Q5820721
cites work: Q3727928
cites work: The ``Vierfeldertest'' of Carl Liebermeister (remarks concerning the development of medical statistics in 19th century)
cites work: Q5615180
cites work: Q5558326
cites work: Q5588236
cites work: R. A. Fisher on the history of inverse probability. With comments by Robin L. Plackett and G. A. Barnard and a rejoinder by the author
DOI: 10.1006/HMAT.1994.1033
description: scientific article; zbMATH DE number 724695