Is (.5)^x * (.5)^(n-x) > (.75)^x * (.25)^(n-x) ? whichever p is more likely
to produce X for B(n,.5) or B(n,.75) is the mle for your constraint
<[EMAIL PROTECTED]> wrote in message 89r5ql$a5k$[EMAIL PROTECTED]">news:89r5ql$a5k$[EMAIL PROTECTED]...
> 1. What would be the MLE of the population proportion p based on a
> random sample of size n from the parent b(1,p) if it is known that p is
> either 1/2 or 1/4.
>
> I Know that for p= 1/2 the MlE is at x= n/2 in is even or (n-1)/2 and
> (n+1)/2 if n is odd. But I don't know for what x the other (when p=3/4)
> is max. Coudl u help?
>
> 2. Let theta=P9X=0)=exp(-lambda) lambda>0
> So the parent dist. is poisson.
>
> I know that exp(-Xbar) is the MLE of theta. But I don't know the
> variance of this estimator to show that the variance never reaches the
> raro cramer lower bound so that our estimator is not BRUE and not
> efficient. In sum, I need to know the variance of the MLE above.
>
>
>
>
> Sent via Deja.com http://www.deja.com/
> Before you buy.
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