hygestat
Hypergeometric mean and variance
Syntax
[MN,V] = hygestat(M,K,N)
Description
[MN,V] = hygestat(M,K,N)
returns the mean of and variance for the hypergeometric distribution with corresponding size of the population,M
, number of items with the desired characteristic in the population,K
, and number of samples drawn,N
. Vector or matrix inputs forM
,K
, andN
must have the same size, which is also the size ofMN
andV
. A scalar input forM
,K
, orN
is expanded to a constant matrix with the same dimensions as the other inputs.
The mean of the hypergeometric distribution with parametersM
,K
, andN
isNK/M
, and the variance isNK(M-K)(M-N)/[M^2(M-1)]
.
Examples
The hypergeometric distribution approaches the binomial distribution, wherep = K/M
, asM
goes to infinity.
[m,v] = hygestat(10.^(1:4),10.^(0:3),9) m = 0.9000 0.9000 0.9000 0.9000 v = 0.0900 0.7445 0.8035 0.8094 [m,v] = binostat(9,0.1) m = 0.9000 v = 0.8100
Extended Capabilities
Introduced before R2006a
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