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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

) 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

MATLAB: An Introduction with Applications
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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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+6 ela+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
Transcribed Image Text: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+6 ela+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
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