Let Y,,Y,.,Y, be a random sample of size n from the gamma, distribution with probability density function f; (y;0) = -yle®, y>0. (r-1):0" (i) Show that ô = -Y is an unbiased estimator of 0. r
Unitary Method
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Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
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![Let Y,,Y,.,Y, be a random sample of size n from the gamma, G
distribution
with probability density function
f; (y;0) =-
1
-y"-'e*® , y >0.
(r-1):0"
(i)
Show that ô = -7
is an unbiased estimator of 0.
(ii)
Obtain the Cramer-Rao lower bound for the variance of an unbiased
estimator of 0.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F35249e1e-406a-4e0d-aefd-9de5e55d7e83%2F4eca1bb1-59a7-4a5c-af94-63f262363e30%2F8n0e98j_processed.png&w=3840&q=75)
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