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Generating Random Numbers Based on the Chi-Square Distribution

TOP/Collection of Applied Calculation Problems/Probability and Statistics
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Generate random numbers based on the chi-squared distribution.
Degrees of freedom v
ν＞0
Number of random numbers to generate
(<=1000)
\(\normalsize Chi-Squared\ distribution\ X^2(x,\nu)\\ (1) probability\ density\\ \hspace{30px}f(x,\nu)={\large\frac{x^{\frac{\nu}{2}-1}e^{-\frac{\small x}{2}}}{2^{\frac{\nu}{2}}\Gamma(\frac{\nu}{2})}}\\ (2) lower\ cumulative\ distribution\\ \hspace{30px}P(x,\nu)={\large\int_{\small 0}^{\small x}}f(t,\nu)dt\\ (3) upper\ cumulative\ distribution\\ \hspace{30px}Q(x,\nu)={\large\int_{\small x}^{\small\infty}}f(t,\nu)dt\\ \)

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Generating Random Numbers Based on the Chi-Square Distribution | Keisan