Semester page for STK4180 - Autumn 2020

We have communicated a bit via "hjelpetr?der", mail threads, on both practical matters, material, and exercises.

Exam project: from t_0 = Dec 8 to t_1 = Dec 18; more information later.

Lars Olsen gives his presentation of the Cunen and Hjort (2020) paper, on II-CC-FF (see FocuStat page), on Mon Nov 23. We make it "open".

Exercises, recently: CLP 7.1, 7.2, 7.9, a few others "on the spot".

I'm placing com50b (on optimal CD for a, with competitors, with gamma(a,b) data, low sample size) and com53a (on optimal CD for mu / sigma^2, with competitors, with normal data, low sample size), on the course website.

1. On Mon Oct 12 we went through several exercises, including the Watership Down exercise to estimation the fraction of biological invaders in a population, based on the trinomial counting (X, Y, Z) of aa, aA, AA. We also discussed the main themes of Ch 5. Next week we round off Ch 5, with emphasis on the "supertheorem" about the very best CD, under exponential-type model conditions.

2. There will with high probability *not* be a firetimers skoleeksamen this semester, due to K-19. Nils checks this week whether we're free to go as planned, with a "Nils Project Exam", in that case with time window [t_0, t_1], with t_0 = Mon Dec 7, t_1 = Fri Dec 18.

3, Mon Oct 19 we round off Ch 5. Ch 6 is *not* curriculum material, so after Ch 5 we do half of Ch 7.

4. Exercises for Mon Oct 19:

(1) Four-hour Exam 2016, Exercise 2.

(2) Make an R script for our Watership Down rabbits, where the start population is in HW balance with (p_0, q_0) = (0.25, 0.75) and the...

1. On Mon Oct 5, we discussed Nils Exercises 14, 15, in particular touching on parametric CD inference for Cox type data, (t_i, x_i, \delta_i). We also went through aspects of the somewhat complicated CLP Exercise 4.3, "complicated" in the sense that its interpretation is not quite clear. The Natural Start of modelling the three trinomial probabilities as lambda pr1 + (1-lambda) pr2, where pr1 = (p_1^2, 2 p_1q_1, q_1^2) and pr2 = (p_2^2, 2 p_2q_1, q_2^2), *doesn't work*. Explain why.

2. Note that I've now placed the firetimerseksamen 2016 on the website.

3. Exercises for Mon Oct 12: First, Exercises 1, 3 from this firetimerseksamen set.

Then, consider the following Watership Down scenario. Rabbits have been living for fifty years on an island, and their alleles a, A are in good Hardy-Weinberg balance, with probabilities of the form prob = (p^2, 2pq, q^2) for aa, aA, AA, with known p = 0.25 and q = 0.75. Then there's an invasion of New Rabbits, with t...