Answer:
The method of moment (MOM) estimator as:
Step-by-step explanation:
From the question, the correct format for the probability density function is:
where θ > 0 is an unknown parameter.
(a) The MOM estimator can be calculated as follows:
suppose E(X) =
Then;
making the subject of the formula, we have:
squaring both sides, we have:
The method of moment (MOM) estimator as:
b) If the observations are
Then,
Finally, the point estimate of the estimator is