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Outline of the talk 1. A generalized gamma distribution and its properties 2. The exact likelihood ratio test of the homogeneity 3. The exact likelihood ratio test of the scale 4. Applications and illustrative examples (missing and censored data, mixtures) 2 A generalized gamma distribution Let us consider a sample from a generalized gamma distribution (ggd) density, introduced by Stacy (1962), of the form f(yi|ϑi) = α σiΓ