5.5.6. Let Y1, Y2, ..., Yn be a random sample of size n from the pdf 1 fy(y; 0) = = (r-1)!0 'e¯y/o, y >0 ê (a) Show that = Y is an unbiased estimator for 0. (b) Show that for 0. = ¼Y is a minimum-variance estimator

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 30E
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please help with part b

5.5.6. Let Y1, Y2, ..., Yn be a random sample of size n
from the pdf
1
fy(y; 0) =
=
(r-1)!0
'e¯y/o, y >0
ê
(a) Show that = Y is an unbiased estimator for 0.
(b) Show that
for 0.
= ¼Y is a minimum-variance estimator
Transcribed Image Text:5.5.6. Let Y1, Y2, ..., Yn be a random sample of size n from the pdf 1 fy(y; 0) = = (r-1)!0 'e¯y/o, y >0 ê (a) Show that = Y is an unbiased estimator for 0. (b) Show that for 0. = ¼Y is a minimum-variance estimator
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