From david.pollard at yale.edu Thu Oct 4 20:51:52 2018 From: david.pollard at yale.edu (David Pollard) Date: Thu, 4 Oct 2018 20:51:52 -0400 Subject: [YPNG] YPNG 5 Oct 2018 Message-ID: <3F2D85F3-32BA-4076-A2D5-800435F3F70D@yale.edu> Don't forget that Zhou Fan will be explaining everything there is worth knowing about Free Probability, tomorrow at 11:00. David ps. Maybe he will omit a few minor facts. From david.pollard at yale.edu Thu Oct 11 13:13:56 2018 From: david.pollard at yale.edu (David Pollard) Date: Thu, 11 Oct 2018 13:13:56 -0400 Subject: [YPNG] YPNG Friday 12 October 2018 at 11:00-1:00, 24 Hillhouse Ave Message-ID: <5E4EA26E-8C1A-417B-80F6-2F26FCC1EF92@yale.edu> Hi Folks, This week we have the second in a series of talks by Xiaosheng Mu, who is currently a postdoc at Cowles. (His first talk was in November 2012.) Combining and comparing experiments An experiment X Blackwell dominates another experiment Y if in every decision problem, X leads to higher expected payoff/lower risk than Y (Blackwell 1951, 1953). We study two related orders on experiments. Say X is eventually better than Y if for all large N, N conditionally independent copies of X Blackwell dominate N copies of Y. Say X is marginally better than Y if there exists a third experiment Z such that the product experiment of X and Z Blackwell dominates the product of Y and Z. Using tools from large deviations/extreme value theory, we fully characterize these eventual and marginal Blackwell orders in the case of binary states. As an application, we prove that linear combinations of KL divergences are the only cost functions of experiments that satisfy Blackwell monotonicity, additivity w.r.t. taking product experiments, and affinity w.r.t. mixing with the trivial experiment. Our techniques also apply to the eventual and marginal comparisons of random variables, in the sense of first or second order stochastic dominance. YPNG ps. Back in the olden days, good authors could say a lot in under ten pages: Blackwell, David. Comparison of Experiments. Proceedings of the Second Berkeley Symposium on Mathematical Statistics and Probability, 93--102, University of California Press, Berkeley, Calif., 1951. https://projecteuclid.org/euclid.bsmsp/1200500222 Blackwell, David. "Equivalent Comparisons of Experiments." The Annals of Mathematical Statistics 24, no. 2 (1953): 265-72. http://www.jstor.org/stable/2236332. -------------- next part -------------- An HTML attachment was scrubbed... URL: From david.pollard at yale.edu Thu Oct 18 10:18:48 2018 From: david.pollard at yale.edu (David Pollard) Date: Thu, 18 Oct 2018 10:18:48 -0400 Subject: [YPNG] YPNG 19 Oct 2018 Message-ID: Folks, There will be no YPNG this week because: (i) We are in the October break. (ii) It would conflict with the meeting for Peter Phillips https://cowles.yale.edu/conferences/econometrics/2018 . David -------------- next part -------------- An HTML attachment was scrubbed... URL: From david.pollard at yale.edu Thu Oct 25 15:29:32 2018 From: david.pollard at yale.edu (David Pollard) Date: Thu, 25 Oct 2018 15:29:32 -0400 Subject: [YPNG] no YPNG on Friday 26 Oct 2018 Message-ID: <60427753-CEFA-4BB3-B490-AB45CF0E6474@yale.edu> Folks, There is no YPNG this week because of the clash with the Hartigan Lecture https://statistics.yale.edu/seminars/peter-b-hlmann . David -------------- next part -------------- An HTML attachment was scrubbed... URL: