WNChygeinv

WNChygeinv computes the inverse of the Wallenius non central hypergeometric cumulative distribution function (cdf)

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Syntax

x=WNChygeinv(p,M,K,n,odds)example

Description

example

x =WNChygeinv(p, M, K, n, odds) Compute the inverse of Wallenius non central hypergeometric distribution.

Examples

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Compute the inverse of Wallenius non central hypergeometric distribution.

. M=80; total number of balls n=10; number of balls taken odds=3; Prob. of red balls vs other color balls K=50; Number of red balls in the urn Compute quantile 0.3

x030=WNChygeinv(0.3,M,K,n,odds);
disp(x030)

Related Examples

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Compute quantiles from inverse of Wallenius non central hypergeometric distribution.

M = total number of balls

M=80; 
    % n= number of balls taken
    n=10;  
    % odds = prob. of red balls vs other color balls
    odds=3; 
    % Number of red balls in the urn 
    K=50; 
    % Compute quantiles 0.1, ..., 0.9
    xquant=WNChygeinv(0.1:0.1:0.9,M,K,n,odds);
    disp(xquant)

     7     7     8     8     8     9     9     9    10

Input Arguments

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`p` — input probabilitiies. Scalar or vector or matrix.

You can think of p as the probability of observing x defective items (red balls) in n drawings without replacement from a group of M items where K are defective (the total numnber of red balls is K) and the ratio of the probability of observing a defect with that of observing a non defect is equal to odds.