Random variable having the gamma distribution

Reference no: EM131851829

Let X be a random variable having the gamma distribution Γ(α, γ) with a known α and an unknown γ > 0 and let Y = σ log X.

(a) Show that if σ > 0 is unknown, then the distribution of Y is in a location-scale family.

(b) Show that if σ > 0 is known, then the distribution of Y is in an exponential family.

Reference no: EM131851829

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