Let X1,..., Xn a random sample with distribution f (x; 0) = (0 + 1)a", 0 -1. (а). Find the method of moments estimator of 0. (b) Show that the method of moments estimator is consistent. (c) Find the maximum likelihood estimator of 0. (d) takes value 0 = 1.2. Use the parametric bootstrap method to obtain a 95% revised bootstrap percentile confidence interval using the maximum likelihood estimate. Make sure to include a plot of the bootstrapped values and an interpretation of your confidence interval. Given a sample of size n = 500, suppose that the maximum likelihood estimate of 0

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A: Note: Hi there! Thank you for posting the question. As your question has more than 3 parts, we have…

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A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…