Tagged Questions

1
vote
1answer
161 views

Sufficiency and UMVUE for Poisson distribution

I need to show that $\hat\lambda = \bar X$ is a sufficient estimator for a Poisson distribution iid $X_1...X_n$, show that $\hat\lambda$ is the UMVUE for $\lambda$ and that $\hat\lambda$ is a ...
1
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1answer
49 views

How do I use student's-t distribution without the sample size?

Here is my question (homework obviously): A sample from a normal population produced variance 4.0. Find the size of the sample if the sample mean deviates from the population mean by no more than 2.0 ...
3
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1answer
40 views

Estimate the given sum.

This is the question from "Data Structures and Algorithm Analysis in C" By Mark Weiss. It is the question 1.7. It goes as follows:- Estimate the sum ...
-1
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1answer
27 views

Estimate: $|f^{(3)}(i/3)|$.

Suppose $f:D(0,1)\longrightarrow \mathbb{C}$ is holomorphic, where $D(0,1)=\{z\in\mathbb{C}∣|z|<1\}$, and assume the maximum $|f(z)|\leq 2$. Estimate: $|f^{(3)}(i/3)|$. I just don't understand how ...
0
votes
0answers
28 views

Improving estimators

Let $X $ be observed data. Let $\hat{\theta}(X)$ be an unbiased estimate of $\theta$ and let T be a sufficient statistic for $\theta$. Define the new estimator $\hat\theta^{*}$ of $\theta$, $$ ...