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April 30th, 2017, 03:51 PM   #1
Joined: Nov 2013

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Could someone check this expected value algebra?

I attached a picture with some lines of algebra that don't quite make sense to me. Actually, the only jump between lines I'm confused about is line 1 to line 2. I think there should be an n^2 pulled out instead of an n. Could someone tell me if I'm correct or if not explain in more basic algebra lines why the jump from line 1 to line 2 is correct?
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Gamegeck is offline  
May 23rd, 2017, 01:07 AM   #2
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I believe you're right. The Fisher information of the sample proportion from a Bernoulli distribution (which is what I assume you're trying to find) is $\displaystyle \frac{n}{\theta(1-\theta)}$.
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