# Inverse-chi-square distribution Calculator

## Calculates the probability density function and lower and upper cumulative distribution functions of the inverse-chi-square distribution.

 percentile x x≧0 degree of freedom ν ν＞0 6digit10digit14digit18digit22digit26digit30digit34digit38digit42digit46digit50digit
 $\normal Inverse-chi-square\ distribution\ \frac{1}{X^2}(x,\nu)\\[10](1)\qquad probability\ density\\\hspace{30}f(x,\nu)={\large\frac{x^{-\frac{\nu}{2}-1}e^{-\frac{1}{2\small x}}}{2^{\frac{\nu}{2}}\Gamma(\frac{\nu}{2})}}\\(2)\qquad lower\ cumulative\ distribution\\\hspace{30}P(x,\nu)={\large\int_{\small 0}^{\hspace{25}\small x}}f(t,\nu)dt\\(3)\qquad upper\ cumulative\ distribution\\\hspace{30}Q(x,\nu)={\large\int_{\small x}^{\hspace{25}\small\infty}}f(t,\nu)dt\\$

Inverse-chi-square distribution
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[1]  2017/08/26 05:16   - / - / - / Very /
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