mleM {chyper}

Maximum likelihood estimator for sample size in conditional hypergeometric distributions

Description

Calculates the MLE of a sample size in a conditional hypergeometric distribution: the distribution of how many items are in the overlap of all samples when samples of arbitrary size are each taken without replacement from populations of arbitrary size.

Usage

mleM(population, k, s, n, m, verbose = T)

Arguments

population

the index of the unknown sample size

k

the observed overlaps

s

an integer representing the size of the intersecting population

n

a vector of integers representing the sizes of each non-intersecting population

m

a vector of integers representing the sample sizes where the value of the unknown sample size should be any integer as a placeholder

verbose

T/F should intermediate messages be printed?

Value

The maximum likelihood estimator of the unknown sample size

Examples

mleM(1, c(0,0,1,1,0,2,0), 8, c(12,13,14), c(0,8,9))