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April 30th, 2017, 03:51 PM  #1 
Newbie Joined: Nov 2013 Posts: 29 Thanks: 1  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?

May 23rd, 2017, 01:07 AM  #2 
Senior Member Joined: Dec 2012 From: Hong Kong Posts: 797 Thanks: 288 Math Focus: Stochastic processes, statistical inference, data mining, computational linguistics 
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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