Describe briefly a procedure for obtaining a Bayesian point estimator from a statistical experiment. Include in your description definitions of the terms: (a) prior; (b) posterior. (ii) Let X,, .... x, be independent identically distributed random variables, cach having distribution Gam (k, A). Suppose k is known, and, a priori, A is exponential of parameter u. Suppose a penalty of (a – A)² is incurred on estimating A by a. Calculate the posterior for A and find an optimal Bayes estimator for A.

Describe briefly a procedure for obtaining a Bayesian point estimator from a statistical experiment. Include in your description definitions of the terms: (a) prior; (b) posterior. (ii) Let X,, .... x, be independent identically distributed random variables, cach having distribution Gam (k, A). Suppose k is known, and, a priori, A is exponential of parameter u. Suppose a penalty of (a – A)² is incurred on estimating A by a. Calculate the posterior for A and find an optimal Bayes estimator for A.

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Counting And Probability

Section9.3: Binomial Probability

Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...

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