Exercises for Wed Jan 30

1. On Wed Jan 23 I went through Nils Exercise 4, with Old Egypt, and more, and the basics of "the first half of Ch 2", with ML, how to find it, properties, the Law of Large Numbers, the Central Limit Theorem, how these may be used along with Taylor expansion and a bit more to demonstrate the crucial properties of ML estimators. This will be used to build the AIC etc. in weeks to come.

2. I've placed "com11a" on the website and will also upload "com11b", doing more models for Old Egypt.

3. For Wed Jan 30, do Old Egypt one more time, with the particular model that takes f = 0.50*gamma(y,a1,b1) + 0.5*gamma(y,a2,b2). Find the ML estimates, with their standard errors; draw two estimated densities on top of the histogram, namelig the "a single gamma" and the "equal mixture of two gammas"; compute the log-likelihood maxima; compute AIC scores; comment on your findings. -- Also, do Nils Exercise 2.