Let X1, X2, ..., Xn be a random sample from a pdf(a + 6)xª+5;0 < x < 1,a > 0.-5.f(x) =0, elsewhere.(a) Find the MLE for a.(b) Determine whether ) In(X;) is a sufficient statistic for a. (HINT: xª+6ela+6) In a)i=1(c) Determine the distribution of – In(X;) (the – is not a typo).-(d) Is – > In(X;) an unbiased estimator of a? Justify.i=1

Given X1, X2, . . ., Xn be a random sample from a pdf fx=α+6xα+5 ; 0<x<1, α>00, elsewhere

Answered: ) Find the MLE for a. n ) Determine…

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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) Find the MLE for a. n ) Determine whether In(X;) is a sufficient statistic for a. (HINT: æª+6 – e(a+6) In x) i=1 ) Determine the distribution of – In(X;) (the is not a typo). ) Is – > In(X;) an unbiased estimator of a? Justify. i=1