Q3) Let X.X2X,*be a random sample from the truncated exponential Je x20 distribution with pdf: f(x,0) = Please else (a) Derive the method of moment estimator of 0; (b) Derive the MLE of 0. (c) Are the MOME and the MLE unbiased estimators for 0?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 1E
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Q3) Let X1,X2,. X,
be a random sample from the truncated exponential
distribution with pdf: f(x,0) =
Please
else
(a) Derive the method of moment estimator of 0;
(b) Derive the MLE of 0.
(c) Are the MOME and the MLE unbiased estimators for 0?
(d) Compare the MSE of the MOME and the MLE for 0. Which one is a
better estimator for 0
Transcribed Image Text:Q3) Let X1,X2,. X, be a random sample from the truncated exponential distribution with pdf: f(x,0) = Please else (a) Derive the method of moment estimator of 0; (b) Derive the MLE of 0. (c) Are the MOME and the MLE unbiased estimators for 0? (d) Compare the MSE of the MOME and the MLE for 0. Which one is a better estimator for 0
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