Recent content by BlueKazoo
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Proving sufficiency via likelihood functions
Oh, so you basically mean that it's incorrect because I didn't take into account where the function is 0 otherwise. If any y is not between 0 and θ, the value of the function is only dependent on that specific y and therefore dependent on the product of all the y's. So the function is...- BlueKazoo
- Post #5
- Forum: Calculus and Beyond Homework Help
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Proving sufficiency via likelihood functions
Ah, whoops, I should have used different variables in the problem than in the set of given equations. I believe "u" in g(u|θ) would be the ∏i=1nYi i this case. In g(u|θ) and L(...|θ), θ is just whatever variable I need to prove the first one is sufficient for. So I guess I'm trying to...- BlueKazoo
- Post #3
- Forum: Calculus and Beyond Homework Help
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Proving sufficiency via likelihood functions
Homework Statement Let Y1,Y2,...,Yn denote independent and identically distributed random variables from a power family distribution with parameters α and θ. Then, if α, θ > 0, f(y|α, θ)={αy(α-1)/θα, 0≤y≤θ; 0, otherwise. If θ is known, show that ∏i=1n Yi is sufficient for α. Homework...- BlueKazoo
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- Functions Likelihood
- Replies: 5
- Forum: Calculus and Beyond Homework Help