# Tagged Questions

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### UMVUE of p(1-p) for Geometric distribution

I have X1,...,Xn~ Geometric(p) and I need to find the UMVUE for p(1-p). I know that I need to use Rao-Blackwell Theorem on this. I started by proving that ∑Xi form i=1 to n in complete sufficient ...
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### Determine the Asymptotic Distribution of the Method of Moments Estimator of $\theta$, $\tilde{\theta}$

I am having difficulty understanding what it means to find the asymptotic distribution of a statistic. I have the correct answer (as far as I know), but I am unconvinced that I understand the process ...
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### Find Cramer-Rao lower bound for variance of any unbiased estimator with normal distribution

Suppose that Y1, Y2, ...,Yn are NID(0,δ^2). Find the Cramer-Rao lower bound for the variance of any unbiased estimator of δ^2. Can you think of an unbiased estimator of δ^2 whose variance ...
Suppose that $Y_1, Y_2,\ldots , Y_n$ are iid random variables ($n\gt 1$), each having a Poisson distribution with parameter $\theta$. What is the Cramer-Rao bound for the variance of any unbiased ...