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·       Format:

InvHypergeo(s,D,M)

·       Probability mass function:

f(x)= \frac{\left( \begin{array}{c} D \\ s-1 \end{array} \right) \left( \begin{array}{c} M-D \\ x-s \end{array} \right) (D-s+1)} {\left( \begin{array}{c} M \\ x-1 \end{array} \right)(M-x+1)}

·       Cumulative distribution function:

F(x)=\begin{equation} \sum_{i=5}^x \end{equation} \frac{\left( \begin{array}{c} D \\ s-1 \end{array} \right) \left( \begin{array}{c} M-D \\ i-s \end{array} \right) (D-s+1)} {\left( \begin{array}{c} M \\ i-1 \end{array} \right)(M-i+1)}

·       Parameter restrictions:

s ≤ D, D ≤ M

·       Domain: 

s ≤ x ≤ M-D+s

·       Mean:

\frac{s \big (M+1 \big)}{\big(D+1 \big)}

·       Variance:

\frac{s\big(M-D \big) \big(M+1 \big) \big(D-s+1 \big)}{\big(D+1\big)^2 \big( D+2 \big)}

 

 

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