AISpace2 Main Tools News Downloads Prototype Tools Customizable Applets Practice Exercises Help About AIspace

Suppose the true parameter value is θ*. What is the expected value of the Bayes estimate, in terms of θ*, if we obtain a random sample of size N? E(θbayes) = E((n+1) / (n+m+2)) by part (c) = E((n+1) / (N+2)) since n+m = N is constant = (E(n) + 1) / (N+2) by linearity of expectation = (Nθ* + 1) / (N+2) since n ~ Binomial(N, θ*) = θ* + (1-2θ*) / (N+2)

Main Tools: Graph Searching | Consistency for CSP | SLS for CSP | Deduction | Belief and Decision Networks | Decision Trees | Neural Networks | STRIPS to CSP