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Mon Nov 17: we did (a) the L_c(u) = \exp(cu) - 1 - cu loss function, with Bayes and minimax; (b) a bit on different loss functions, and do the details for Lemma 0: g(a) = \E\,|X-a| is minimised for a_0 = the median; (c) mixture priors (where Nils didn't have time to put in a simple example; will do Wed Nov 19).

The class is invited to point to themes, and then we discuss them, with Q + A or more.?

For Wed Nov 19 and Mon Nov 24: we use some time, perhaps not too much on Exam 2004 (yes, it's old), 1 and 2:?

https://www.mn.uio.no/math/english/research/projects/focustat/lecture-notes-and-exercises-for-various-courses-gi/exam_stk4020_2004.pdf

" Del II er en muntlig eksamen, og avholdes mandag 48. desember (ogs? kalt 17. januar); n?rmere opplysninger om dette blir gitt senere."

Nov. 17, 2025 8:39 PM

We're soon rounding off!, having essentially been through all cofre material in the course, also having worked through a quite long list of exercises and stories. We meet a few more times, with themes asked for by you, the students -- we did minimaxity the other day, for instance.

For the coming few weeks: Find Olaf Bull's "Til de dristige", and reflect on its relevance for minimax strategies. Do exercises 7.6, the linex loss function, with concrete steps for the classic case of Y a \N(\theta, 1), and a \N(0,\sigma^2) prior for \theta. Then 7.7.?

We did Celine Cunen's Submarine (exam set 2018): show that the Bayes estimator there is the same as the sample mean of the two data points, and that it is unbiased. Which assumption, in the lemma which says that Bayes estimators are never unbiased, is not met??

Nov. 13, 2025 2:55 PM

Thanks to our four wondrous PhD candidates for their intriguing presentations. I am also satisfed & grateful for your efforts with the OBLIG. I've placed com205c on the page, with mcmc for plants, Oblig #3. You may play with the code a bit to check further issues.

From Mon 10 onwards we're partly in repetisjonsmodus, looking back at what we've learned, etc., so please come with questions, themes you would like more comments on, etc.

We also go through:?

Exam 2015, #1, two models; Exam 2018, #1, poisson-gamma and more; 7.20; 7.29 (i).?

Nov. 7, 2025 1:37 PM