Translator Disclaimer
December, 1949 Moments of Random Group Size Distributions
John W. Tukey
Ann. Math. Statist. 20(4): 523-539 (December, 1949). DOI: 10.1214/aoms/1177729945

Abstract

A number of practical problems involve the solution of a mathematical problem of the class described in the classical language of probability theory as follows: "A number of balls are independently distributed among a number of boxes, how many boxes contain no balls, 1 ball, 2 balls, 3 balls, and so on." Problems arising in the oxidation of rubber and the genetics of bacteria are discussed as applications. A method is given of solving problems of this sort when "how many" is adequately answered by the calculation of means, variances, covariances, third moments, etc. The method is applied to a number of the simplest cases, where the number of balls is fixed, binomially distributed or Poisson and where the "sizes" of the boxes are equal or unequal.

Citation

Download Citation

John W. Tukey. "Moments of Random Group Size Distributions." Ann. Math. Statist. 20 (4) 523 - 539, December, 1949. https://doi.org/10.1214/aoms/1177729945

Information

Published: December, 1949
First available in Project Euclid: 28 April 2007

zbMATH: 0035.09304
MathSciNet: MR32966
Digital Object Identifier: 10.1214/aoms/1177729945

Rights: Copyright © 1949 Institute of Mathematical Statistics

JOURNAL ARTICLE
17 PAGES


SHARE
Vol.20 • No. 4 • December, 1949
Back to Top