FNChygeinv

FNChygeinv computes the inverse of the Fisher non central hypergeometric cumulative distribution function (cdf)

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Syntax

x=FNChygeinv(p,M,K,n,odds)example
x=FNChygeinv(p,M,K,n,odds, accuracy)example

Description

example

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

example

x =FNChygeinv(p, M, K, n, odds, accuracy) Compute quantiles 0.1, 0.2, ..., 0.9 from nverse of Fisher non central hypergeometric distribution.

Examples

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Compute the inverse of Fisher non central hypergeometric distribution.

. M = total number of balls;

M=80; 
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=FNChygeinv(0.3,M,K,n,odds);
disp(x030)

Compute quantiles 0.1, 0.2, ..., 0.9 from nverse of Fisher non central hypergeometric distribution.

. M= total number of balls

M=80;
% n= number of balls taken
n=10;  
% odds = Ratio of Prob. of red balls vs other color balls    
odds=3; 
% K = number of red balls in the urn
K=50; 
% Compute quantiles 0.1, ..., 0.9
xquant=FNChygeinv(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.