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GATE Mathematics 2013 Paper

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Question : 51

Total: 65

Let X1,X2,…,Xn be an i.i.d. random sample from exponential distribution with mean μ. In other words, they have density
f(x)={

. Consider the problem of estimating μ. The m.s.e (mean square error) of the estimate

T(X)=

is

μ2
1
n+1
μ2
1
(n+1)2
μ2
n2
(n+1)2
μ2

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