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Variance homework

  • Thread starter EvLer
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How do I approach finding variance of sample mean of Poisson distribution?
thanks.
 

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radou
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How do I approach finding variance of sample mean of Poisson distribution?
thanks.
You can certainly start with looking at the definition of variance.
 
458
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I did: Var(X) = E(X2) - (E(X))2
the problem is that this is given for rv X, not X' or X-bar, that's where i get lost.
I know that last term is lambda2.
Actually what I need to find for this problem is E(X'2), i.e.
E(X'2) = Var(X') + lambda2
 
Last edited:
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ok, last question, pleeeease some one look :redface: i can't find much on this anywhere and the book does not say much... i don't have intuition for these things....
can I say that sample variance is sum(lambda)/n?
I found something that said sample variance is Sum(Var[X]) of whatever it is the RV divided by n....
 
Last edited:
radou
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According to my old lecture notes, the sample variance for (X1, ..., Xn) is defined with [tex]\frac{1}{n} \sum_{i=1}^n(X_{i}-\overline{X})^2[/tex], where [tex]\overline{X} = \frac{1}{n}\sum_{i=1}^n X_{i}[/tex] , and, in your case X~P(lambda).
 
HallsofIvy
Science Advisor
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Yes, the Poisson distribution depends on a single parameter and has the property that both mean and standard distribution are equal to that parameter.
 

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