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(Solved): If X1, ..., X., ~ Iid Geometric(p) With Pdf F(x) = P(1 - P)", For X = 0,1, 2, .... (a) Find An Estim...


If X1, ..., X., ~ iid geometric(p) with pdf f(x) = P(1 - p), for x = 0,1, 2, .... (a) Find an estimator for p using method o

If X1, ..., X., ~ iid geometric(p) with pdf f(x) = P(1 - p)", for x = 0,1, 2, .... (a) Find an estimator for p using method of moment. (b) Find the MLE for p. (c) For p=0.3, use R to generate random samples of size 10, 100, 1000, and 10000. For each sample, compute the estimate of p using the MLE (result from (b)). Compare the p you obtained from each sample with the true value of p. (hint: in R, use function "rgeom n, p)" to generate a random sample of size n from geometric(p).)


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