Meaning of hypergeometric random variable | Babel Free

Definitions

A random variable whose probability distribution is a hypergeometric distribution.

Examples

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

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

“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).”

“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).”

CEFR level