Question: Let X1, X2, ... , Xn be a random sample of size n from a population with pdf f(x;theta) = [3(theta - x)^2] / (theta)^3 from 0 < x < theta and zero otherwise.
Use the Method of Moments to find a point estimator for theta.
Hi, I'm new to this forum and I'm looking for some help with something that I have been trying to figure out for an hour or so now with no progress at all.
The question I am working with is as follows:
Estimate the variance component for Operators (one of the variables) sigma squared...
Suppose that Y1, Y2, ..., Yn constitute a random sample from the density function
f(y|t) = e^-(y-t), y>t
where t is an unknown positive constant
a. Find an estimator t1(hat) for t by the method of moments
b. Find an estimator t2(hat) for t by the method of maximum likelihood