Dear sir/ma'm,
Please find the following question attached herewith (in picture link provided). I could proceed upto part (iii) and got CRLB as lambda^2/n. But i could not do part (iv) to show that variance of lambda-cap equals CRLB. How to do it? If I proceed like this variance(lambda-cap) = E(lambda-cap^2) - [E(lambda-cap)]^2 then I am getting both E(lambda-cap^2) = lambda^2 as well as E(lambda-cap) is also lambda. So both are cancelling out to give variance(lambda-cap) as zero. I feel what I am doing is wrong. Someone please help to solve me part (iv).
The photo can be found in below link
https://drive.google.com/file/d/0B_djFkkm9kUfV3dBb3N6YXVGb3c/view?usp=drivesdk
(please message me if the photo is not visible)
Last edited by a moderator: Feb 4, 2017