High Quality Content by WIKIPEDIA articles! In probability and statistics, the inverse-chi-square distribution is the probability distribution of a random variable whose multiplicative inverse (reciprocal) has a chi-square distribution. It is also often defined as the distribution of a random variable whose reciprocal divided by its degrees of freedom is a chi-square distribution. That is, if X has the chi-square distribution with ? degrees of freedom, then according to the first definition, 1 / X has the inverse-chi-square distribution with ? degrees of freedom; while according to the second definition, ? / X has the inverse-chi-square distribution with ? degrees of freedom.

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