(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Show that the product of the sample observations is a sufficient statistic for theta if the random sample is taken from a gamma distribution with parameters alpha = theta and beta = 6.

2. Relevant equations

3. The attempt at a solution

So I need to make sure that [tex]Y = \prod X_i[/tex] is a sufficient estimator for theta, which is true if:

[tex]\frac{f(x_1; \theta)...f(x_n; \theta)}{Y = \prod X_i}[/tex] does not depend on theta.

But I keep getting getting 1 for the ratio. Am I correct?

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# Homework Help: Sufficient Estimators

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