What is the bayes estimator

Reference no: EM13246933

Bayesian Genetic Mutant Cdc-

1. Assume that in the context of problem

2. Genetic Mutant Cdc-1, researchers postulated Poi(λ) distribution for X2 - the count of cell colonies containing cdc-1 mutants. Experts suggest a gamma prior on λ with the expectation equal to 55 and variance of 220.

(a) Specify fully this gamma prior, that is, find its parameters.

(b) An experiment yielded X2 = 60. Find the posterior distribution for λ using the prior from (a). What is the Bayes' estimator of λ?

(c) Run a WinBUGS program for (b) and check the output. Do you get an estimator for λ close to that in (b)? What is a 95% credible set for λ that WinBUGS outputs?

Reference no: EM13246933

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