(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.

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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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