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Subject: Statistical Interference-1) Q1 : Let X1, X2... Xn be the random sample from the density: (, ) = (1 + ) (1+) , 0
Subject: Statistical Interference-1)
Q1: Let X1, X2... Xn be the random sample from the density:
(, ) = (1 + ) (1+) , 0 < <
(a) Find an unbiased estimator of .(2.5 Marks)
(b) Find a consistent estimator of .(2.5 Marks)
(c) Find a sufficient statistic of .(2.5 Marks)
(d)Find a complete statistic of . (2.5 Marks)
(e) Find UMVUE of1 . Find its variance and compare with Cramer-Rao lower bound.(05 Marks)
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