Some statistical applications of Poisson's work
type: Item
instance of: scholarly article
title: Some statistical applications of Poisson's work
zbMATH Open document ID: 0611.60001
published in: Statistical Science
publication date: 1986-01-01T00:00:00Z
review text: The author takes up some subjects treated by Poisson and competently traces their history up to the present days. Among these subjects are the two different kinds of probability (logical and objective); the law of large numbers; the summation formula which neither Poisson himself (1827) nor Cauchy (1817) ever put to statistical use; the Poisson distribution; judicial decisions. The text includes a discussion by five authors and the author's rejoinder. One of these authors (Herbert Solomon) argues that Poisson's study of the work of the jury is an excellent example of using models in the behavioral sciences. The author does not mention that Cournot had also distinguished between the two kinds of probability and he does not refer either to \textit{S. S. Demidov}, Des parenthèses de Poisson aux algebres de Lie. in: \textit{M. Metivier}, \textit{P. Costabel} and \textit{P.Dugac} (eds.), Siméon-Denis Poisson et la science de son temps. (1981; Zbl 0476.01001) pp. 133-150, or to the reviewer's paper in Arch. History Exact Sci. 18, 245-300 (1978; Zbl 0383.01011)].
Mathematics Subject Classification ID: 60-03
Mathematics Subject Classification ID: 01A50
Mathematics Subject Classification ID: 01A55
Mathematics Subject Classification ID: 01A60
zbMATH DE Number: 3988339
zbMATH Keywords: Cauchy distribution
zbMATH Keywords: judicial decisions
zbMATH Keywords: kinds of probability
zbMATH Keywords: Poisson distribution
author: Irving John Good
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1214/ss/1177013690
OpenAlex ID: W1973435014
Wikidata QID: Q56004229
DOI: 10.1214/SS/1177013690
description: scientific article; zbMATH DE number 3988339