Sufficient Statistics Can Do What?!? | MAS 1 Fall 2018 Q17

One important topic that I forgot to cover was completeness and how that ties into defining a distinct solution. Perhaps I can cover that in a future video!

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▬▬▬▬▬▬▬▬▬▬ Contents of this video ▬▬▬▬▬▬▬▬▬▬

0:00 NOT Reading of the Problem
0:42 Sufficient Statistics and Fisher-Neyman
7:36 Rao-Blackwell
12:28 Summary of Required Knowledge
13:50 Calculations

▬▬▬▬▬▬▬▬▬▬ Music ▬▬▬▬▬▬▬▬▬▬
- Artist Attribution
Music By: "KaizanBlu"
Track Name: "Remember"

▬▬▬▬▬▬▬▬▬▬ The Question ▬▬▬▬▬▬▬▬▬▬
Suppose that X1,...,X10 is a random sample from a normal distribution N(0,σ2) such that:

Σ10i=1Xi=10 and Σ10i=1X2i=500

Calculate the value of minimum variance unbiased estimator of σ2.

A. Less than 30

B. At least 30, but less than 50

C. At least 50, but less than 70

D. At least 70, but less than 90

E. At least 90