3. Let X1,X2, ..,X, be a random sample form a normal distributionwith E(X;) = µ;and Var(X;) = o². Assume s? = E(X;_ X)²/n ands3 = (n/(n – 1))s?.Questions:a. Compare between the estimators si and s?.b. Which one you preferred? What is (are) your reason(s).4. Let X1,X2, . X, be a random sample form a uniformdistribution,f(X)e = 0*(1– e)!-*; 0 < x < 1. Assume T1 = X1 and T, = (-)Ex;.%3Da. Check the unbiasedness property for T1 and T,.b. Find the MSE of T, and T,.Canyou preferer one of them? Discuss your reasons.с.5. Suppose that X, X2,. , X, are an iid sample from the distributiongiven below,f(X)e = (1/2)(1+ X8); -1< X <1.Show that 3x is a consistent estimator of e.

suppose that x1,x2....xn are an iid sample from the distribution f(x)θ=1+xθ2 ; -1 <x<1…

Answered: Suppose that X, X2,... ,X, are an iid…

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Suppose that X, X2,... ,X, are an iid sample from the distribution given below, f(X)e = (1/2)(1+ X0); -1

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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