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(i) Let X1, X2, .., Xn ~ Gamma(a, 3) (with a > 0 and 3 > 0). Using the method of moments estimator, determine the estimates for a and ß. ii) Let X1, X2, ..., Xn ~ Uniform(a, b), where a and b are unknown pa- rameters and a < b. Find the maximum likelihood estimators for a and b.

(i) Let X1, X2, .., Xn ~ Gamma(a, 3) (with a > 0 and 3 > 0). Using the method of moments estimator, determine the estimates for a and ß. ii) Let X1, X2, ..., Xn ~ Uniform(a, b), where a and b are unknown pa- rameters and a < b. Find the maximum likelihood estimators for a and b.

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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(i) Let X1, X2, ..., X, ~ Gamma(a, 3) (with a > 0 and 3 > 0). Using the method of moments estimator, determine the estimates for a and 3. ii) Let X1, X2, ..., X, rameters and a < b. Find the maximum likelihood estimators for a Uniform(a, b), where a and b are unknown pa- and b.
Transcribed Image Text:(i) Let X1, X2, ..., X, ~ Gamma(a, 3) (with a > 0 and 3 > 0). Using the method of moments estimator, determine the estimates for a and 3. ii) Let X1, X2, ..., X, rameters and a < b. Find the maximum likelihood estimators for a Uniform(a, b), where a and b are unknown pa- and b.
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