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GATE Mathematics 2014 Paper

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Question : 44

Total: 55

Suppose that X1,X2,…,Xn is a random sample of size n drawn from a population with probability density function
f(x;θ)={

Where θ is a parameter such that θ > 0. The maximum likelihood estimator of θ is

n
∑
i=1
Xi
n
n
∑
i=1
Xi
n−1
n
∑
i=1
Xi
2n
2‌
n
∑
i=1
Xi
n

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