Question: 5: Exercises 11. Let X1, .., An be a sample from the geometric distribution with parameter p. (i) Determine the Fisher information for p. (ii)

 5: Exercises 11. Let X1, .., An be a sample from

5: Exercises 11. Let X1, .., An be a sample from the geometric distribution with parameter p. (i) Determine the Fisher information for p. (ii) Determine the observed information. (iji) Determine an approximate confidence interval for p of confidence level 1 - o based on the maximum likelihood estimator. (iv) What is the realization of this interval if x] + ... + X40 = 100 and a = 0.05? Xn be a sample from the Bernoulli

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