exercises for Week 4, Sept 9 to 13
We've started on Ch 2, large-sample theory, and will use more or less Weeks 4 and 5 to go through the main material. The tentative list of exercises is 1, 2, 6, 7, 8, 9, 11, 12, 13, 14, 18, 19, 21, 29, 32, 33, 41, 42, 43, 52, 54, 55 (and soon we'll start with a few Statistical Stories). For Mon Sept 9, we're aiming for 1, 2, 6, 7, 8, 9, 11, from which Vilde does no.6. If she sees this in time: let X_n be Gamma(a_n, b_n), with a_n going to 1 and b_n going to 1. Show that X_n tends to the unit exponential in distribution.
On Thu Sept 12 we go on, with these, from Ch 2: 2, 9 (continue from what Vilde showed us), 11, August does a sutable subset of the union of 13, 14, 18 (try your own g(p)), 19, 21. After that we're ready to push for CLT, the delta method, Lindeberg, the LLN -- those are key words for the most important themes of the chapter.