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 for M, K, and N must
have the same size, which is also the size of MN and V.
A scalar input for M, K, or N is
expanded to a constant matrix with the same dimensions as the other
inputs.
The mean of the hypergeometric distribution with parameters M, K,
and N is NK/M, and the variance
is NK(M-K)(M-N)/[M^2(M-1)].
Examples
The hypergeometric distribution approaches the binomial distribution,
where p = K/M, as M 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
Version History
Introduced before R2006a
