Consider the probability density function


Let X be a geometric random variable with parameter p. Find the maximum likelihood estimator of p, based on a random sample of size n.

Consider the probability density function

f(x) = c(1+ Theta), -1< x< 1

(a) Find the value of the constant c.

(b) What is the moment estimator for Theta

(c) Show that Theta bar 1 = 3X bar is an unbiased estimator for Theta

(d) Find the maximum likelihood estimator for Theta.

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Basic Statistics: Consider the probability density function
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