hypergeometric random variable

hypergeometric random variable

English

Noun

hypergeometric random variable (plural hypergeometric random variables)

1. (probability theory, statistics) A random variable whose probability distribution is a hypergeometric distribution.
   • 1992, Norman Lloyd Johnson, Samuel Kotz, Adrienne W. Kemp, Univariate Discrete Distributions, page 67,

     Computer generation of classical hypergeometric random variables has been discussed in detail by Kachitvichyanukul and Schmeiser (1985).

   • 2005, Martin Buntinas, Gerald Marlowe Funk, Statistics for the Sciences, page xv,

     Chapter 6 introduces testing of hypotheses immediately after the study of binomial and hypergeometric random variables.

   • 2007, Purna Chandra Biswal, Probability and Statistics, 2008, Prentice-Hall of India, page 87,

     If ${\\displaystyle \\textstyle X}$ is a hypergeometric random variable, then the variance is ${\\displaystyle \\textstyle Var(X)=\\left({\\frac {M}{N}}\\right)n\\left(1-{\\frac {M}{N}}\\right)\\left(1-{\\frac {n-1}{N-1}}\\right)}$.

   • 2017, Sheldon M. Ross, Introductory Statistics, Elsevier (Academic Press), page 250,

     Thus, whereas the expected value of the hypergeometric random variable with parameters n, N, p is the same as that of the binomial random variable with parameters n, p, its variance is smaller than that of the binomial by the factor (N − n)/(N − 1).

Translations

random variable with hypergeometric distribution