Let X1,..., Xn be a simple random sample from a distribution with density function Svorvo-1 O<331 fx (2:0) = otherwise where e > 0 is an unknown parameter. (a) Find a MOM estimator for 0.
(b) If the observations are 1 1 1 2'3'2 Determine the point estimate with the estimator you find in part (a).

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

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step-by-step explanation:

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