Let x1,X2,.... ,Xn be a random number from a sample from the density a) f(x,0) = 0(1+æ)-(1+0), x > 0 Find the MLE of 0 and use Cramer-Rao lower bound to find large sample variance of the estimator. Suppose a random sample of size n is taken from a population X that has pdf f(x, 0) = 0" (1 – 0) x = 0,1,2,...... Illustrate that MVB unbiased estimators are necessarily MLES by obtaining MVBUE estimator of 1-0

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Q: Let x1,x2,...x n be an iid sample with pdf f(x|0)=0X (® -1) Osxs1,0>0 Find the MLE of 0.

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Q: 3. Let X1, X2, ..., Xn be a random sample from a distribution with pdf f (x; 0) = { r(1)04 x-le-%, 0…

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Q: Let X be a normal random variable with mean μ=10 and variance σ^2=36. Find (a)P{X5} (c)P{4<X<16}

A: Mean()=10Variance()=36standard deviation()==6

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Q: η 1 η Σ( - )2 ο Σ( - )2 (α; 1 - Σα; - z) 1 Η Σ Σ(α; - 7) η O None of them

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