Please show all work so i can understand 1.Suppose you have a random sample of n observations from a distribution with pdf(e-(x-c)/e for x> cgiven by f (x) =,where c is a nonnegative constant and 0 is positive. Itotherwisecan be shown that E (X) = 0 + c and Var(X) = 02.Show that the method of moments estimator of e is X – c, where X is the sample mean.a.b..Show that the maximum likelihood estimator of 0 is also X – c. You do not have to check thesecond derivative to ensure it is a maximum. Nhat is the MSE of the estimator ô = X – c? (Hint: This will be an expression in terms of eand n.]

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Answered: Show that the method of moments…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter4: Factors, Fractions, And Exponents

Section4.6: Negative And Zero Exponents

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Show that the method of moments estimator of 0 is X – c, where X is the sample mean. a. b.. Show that the maximum likelihood estimator of 0 is also X – c. You do not have to check the second derivative to ensure it is a maximum.