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Nov 18, 2017 at 22:42 vote accept CQNKZX
Nov 18, 2017 at 7:05 comment added Xi'an @whuber: do you mean there is a density for the $F$ distribution or for the sum? An eleven dimension convolution seems daunting.
Nov 16, 2017 at 22:57 comment added whuber Then you do know the density and there is a simple closed formula for it: please visit the link I gave you.
Nov 16, 2017 at 22:53 comment added CQNKZX $X_i = \frac{U_1/d_1}{U_2/d_2}$, where $U_1$ and $U_2$ are independent Chi-Square distributions with degree of freedom $d_1$and$d_2$ respectively.
Nov 16, 2017 at 22:14 comment added whuber Could you clarify what an "F-distribution" is? Are you referring to the central F distribution or just to some generic distribution? (Your remark about not knowing the density of $Y$ suggests the latter.)
Nov 16, 2017 at 21:26 history edited Xi'an
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Nov 16, 2017 at 21:26 answer added Xi'an timeline score: 2
Nov 16, 2017 at 21:12 review First posts
Nov 16, 2017 at 22:03
Nov 16, 2017 at 21:11 history asked CQNKZX CC BY-SA 3.0