dustinboyer5281 dustinboyer5281

19-02-2024
Physics

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Let X and Y be independent gamma random variables, both with the same scale parameter beta. The value of the other parameter is ∝₁ for X and ∝₂ for Y. Use moment generating functions to show that X + Y is also gamma distributed with scale parameter beta, and with the other parameter equal to ∝₁ + ∝₂.

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