exercises for Week 8, 7 Oct to 11 Oct
We've rounded off Ch 3. There will be approx 2 exercises related to order statistics: (i) the Oblig 2023 no. 1; (ii) Story i.v, about 548 boys and 481 girls born at Rikshospitalet in Oslo, and their birthweights.
Thanks to Vilde U who told us about n = 700,000 necessary for the empirical kurtosis to be inside [5.80, 6.20], with data from the exponential; she's right (as I found out), check R script com351c. You may fiddle a bit with that code to check sample kurtosis from other distributions, and for many such the convergence to true kurtosis is drastically faster; it's slow here, since the tail is heavy and the kurtosis big.
Now two weeks for Ch 4, with approximately these exercises: 1, 2, 3, 4, 5, 7, 8, 9, 12, 16, 18, 24, 25, 26, 27, 29, 32, 34, 35, 41. Gently asterisked: 1, 2, 5, 7, 16, 18, 24, 25, 26, 32, 34, 41.
Sigurd does 4.3.
Oblig comes: from Oct 7 to Oct 21.