exercises for Wed Oct 13_篮球即时比分_nba比分直播-彩客网重点推荐

nils
2021-10-07T10:41:30.680Z
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www.uio.no

1. On Wed Oct 6 we discussed Nils Exercises 22, 23, with the gamma-normal prior setups for nornal data and for normal linear regression. I've uploaded R scripts com37a and com38a for these analyses, with x = cigarette consumption and y = lung cancer death rates per 100,000 people. You should carry out similar analyses for the other y given in the cigarette consumption dataset.

2. We went through the essence of Ch 4, with emphasis on "the lazy Bayesian" recipe: use \theta given data approximately distributed as N_p(\hat\theta_\ml, \hat J_\total^{-1}), with the ML estimator and the inverse information matrix, \hat J_\total being minus the 2nd derivate matrix of the log-lik function computed at the ML.

3. Let y_1, ..., y_n come from a Poisson (\theta), with \theta having a Gamma(a,b) prior. Find the exact posterior, and compare with the "lazy Bayesian" normal approximation.

4. I've uploaded "egypt_data", life-lengths for 82 men and 59 women, f...