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Sum of variates

If \( X \ensuremath{\sim \mathrm{\chi^2}(\nu_1)}\) and \( Y \ensuremath{\sim \mathrm{\chi^2}(\nu_2)}\), then, as can be expected, \( X \pm Y \ensuremath{\sim \mathrm{\chi^2}(\nu_1 \pm \nu_2)}\). (No proof, yet.)
Alexander Frolkin 2001-02-01