Question: 11 11. (20 points) Consider a sample X1, X2, . . . from a geometric distribution Geo(0) with unknown parameter. (a, 10 points) Write the

 11 11. (20 points) Consider a sample X1, X2, . .

11

. from a geometric distribution Geo(0) with unknown parameter. (a, 10 points)

11. (20 points) Consider a sample X1, X2, . . . from a geometric distribution Geo(0) with unknown parameter. (a, 10 points) Write the log-likelihood & for X1, . .., XN. (b, 10 points) Maximize & by choosing 0. This 0 is the maximum likelihood estimation (MLE) 0. Compare with the MME found above

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