Maurice Tutor

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Teaching Since: May 2017
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  • MCS,PHD
    Argosy University/ Phoniex University/
    Nov-2005 - Oct-2011

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  • Professor
    Phoniex University
    Oct-2001 - Nov-2016

Category > Management Posted 07 Oct 2017 My Price 4.00

random variables

1       Let Y1, Y2, Y3, and Y4 be independent, identically distributed random variables from a popu- lation with mean m and variance 2. Let Y¯  1 (Y1  Y2  Y3  Y4) denote the average of

4

these four random variables.

(i)    What are the expected value and variance of Y¯ in terms of m and 2?

(ii)   Now, consider a different estimator of m:

W  1Y1  1Y2  1Y3  1Y4.

 

8

 

8

 

4

 

2

 

This is an example of a weighted average of the Yi. Show that W is also an unbiased estimator of m. Find the variance of W.

(iii)  Based on your answers to parts (i) and (ii), which estimator of m do you prefer,

Y¯  or W?

 

Answers

Maurice Tutor
(5)
Status NEW Posted 07 Oct 2017 11:10 PM My Price 4.00

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