Homework SourseProblem 1 A set of samples x1 x2 xn is taken from a random
Problem 1. A set of samples x1, x2, ... xn is taken from a random variable X uniformly distributed over [0, b]. The upper limit, b, is known.
(a) Use moment estimator (ME) to estimate b.
(b) Use maximum likelihood estimator (MLE) to estimate b.
Problem 2. A set of samples x1, x2, ... xn is taken from a random variable X uniformly distributed over [a, b]. Both a, and b, are known.
(a) Use moment estimator (ME) to estimate a and b.
(b) Use maximum likelihood estimator (MLE) to estimate a and b.
Solution
![Problem 1. A set of samples x1, x2, ... xn is taken from a random variable X uniformly distributed over [0, b]. The upper limit, b, is known. (a) Use moment est](/WebImages/17/problem-1-a-set-of-samples-x1-x2-xn-is-taken-from-a-random-1033526-1761535933-0.webp "Problem 1. A set of samples x1, x2, ... xn is taken from a random variable X uniformly distributed over [0, b]. The upper limit, b, is known. (a) Use moment est")
