hypergeometric random variable
noun1
Mathematics, Probability theory, Sciences, Statistics A random variable whose probability distribution is a hypergeometric distribution.
- 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:
- 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:
2 more examples
- 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: