hypergeometric random variable

plural hypergeometric random variables

1. mathematicsA random variable whose probability distribution is a hypergeometric distribution.

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

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

   3 more examples

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

   1992, Norman Lloyd Johnson, Samuel Kotz, Adrienne W. Kemp, Univariate Discrete Distributions, page 67

   If #92;textstyleX is a hypergeometric random variable, then the variance is #92;textstyleVar(X)#61;#92;left(#92;frac#123;M#125;#123;N#125;#92;right)n#92;left(1-#92;frac#123;M#125;#123;N#125;#92;right)#92;left(1-#92;frac#123;n-1#125;#123;N-1#125;#92;right).

   2007, Purna Chandra Biswal, Probability and Statistics, India: Prentice-Hall, published 2008, page 87

   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).

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