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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6010 • Linear Models

2006 • Question 3

Question

Math 6010 • Linear Models 2006 • Question 3

Let \(X\) have the binomial distribution with parameters \(n=10\) and \(p=\theta \) unknown. Suppose we impose a uniform-\((0,1)\) prior on \(\theta \). Compute the posterior mean of \(\theta \). Is it consistent?

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Let \(X\) have the binomial distribution with parameters \(n=10\) and \(p=\theta\) unknown. Suppose we impose a uniform-\((0,1)\) prior on \(\theta\). Compute the posterior mean of \(\theta\). Is it consistent?

Topic Tags

Bayesian Testing and Decision Theory Estimator Distributions Multivariate Normal Distributions Uniform Integrability and Truncation Methods