Geodesic
Non-central generalized F distributions
Discussiones Mathematicae. Probability and Statistics, Tome 26 (2006) no. 1, pp. 47-61

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The quotient of two linear combinations of independent chi-squares will have a generalized F distribution. Exact expressions for these distributions when the chi-square are central and those in the numerator or in the denominator have even degrees of freedom were given in Fonseca et al. (2002). These expressions are now extended for non-central chi-squares. The case of random non-centrality parameters is also considered.
Keywords: exact distributions, random non-centrality parameters, generalized F distributions 
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Nunes, Célia; Mexia, João. Non-central generalized F distributions. Discussiones Mathematicae. Probability and Statistics, Tome 26 (2006) no. 1, pp. 47-61. http://geodesic.mathdoc.fr/item/DMPS_2006_26_1_a2/