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The Convolution of Generialized-F Distributions

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The Convolution of Generialized-F Distributions

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Title: The Convolution of Generialized-F Distributions
Author: Dyer, Danny D.
Abstract: The generalized-F variate is the ratio of two independent gamma variates, and its distribution includes as special cases such distributions as the inverted beta, Lomax, and Snedecor's-F. Based on convolution, the distribution function of the sum of two independent generalized-F variates is derived in terms of a Lauricella-Saran hypergeometric function of three variables. The results are applied with numerical examples given to (a) a Bayesian analysis of the availability of a two-component series system and (b) a test of hypothesis on the multinormal mean vector whenever the covariance matrix has the intraclass correlation pattern.
URI: http://hdl.handle.net/10106/2406
Date: 1981-01

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