Refreshments are served 30 minutes before each talk in the Conference Room MSPB 335
|August 24, 2017 at 3:30 p.m. in MSPB 370||Andrei Pavelescu, University of South Alabama||
Complete Minors of Self-Complementary Graphs
Abstract: Some topological properties of graphs are connected to the existence of complete minors. For a simple non-oriented graph G, a minor of G is any graph that can be obtained from G by a sequence of edge deletions and contractions. In this talk, we show that any self-complementary graph with n vertices contains a K[(n+1)/2] minor. We also prove that this bound is the best possible and present some consequences about which self-complementary graphs are planar, intrinsically linked or intrinsically knotted. This is joint work with Dr. Elena Pavelescu.
|October 18, 2017 at 6:00 p.m. in the University Library Auditorium
This talk is aimed at a general audience!
|H. N. Nagaraja, College of Public Health, Ohio State University
Fourth Satya Mishra Memorial Lecture
Statistical Methods for Public Health and Medicine
Abstract: Probabilistic modeling, statistical design, and inferential methods form the backbone of the remarkable advances in medicine and public health. General goals of inference are hypothesis testing (as in clinical trials), estimation (of risk for a disease), and prediction (of a future condition). We illustrate them by introducing examples, data types, statistical models, and methods. With summary statistics on commonly used statistical concepts in major public health and medical journals, we discuss popular statistical methods that drive current research in public health and medical science. We examine trends in biostatistical research and observe the evolving field of data science and bioinformatics.
|October 19, 2017 at 3:30 p.m. in MSPB 370||H. N. Nagaraja, College of Public Health, Ohio State University||
Some Applications of Ordered Data Models
Abstract: We introduce three probability models for ordered data viewing them as (i) order statistics, (ii) record values, and (iii) order statistics and their concomitants. Applications of spacings of order statistics to auction theory and actuarial science will be illustrated with two examples: (a) properties of expected rent in regular and reverse auctions and (b) finding approximation to finite-time ruin probabilities for a company with large initial reserves. The problem of estimating mobility rates in search models using record value theory will be discussed. We will see how the concept of concomitants of order statistics can be used to model data-snooping biases in search engines, two-stage designs, and tests of financial asset pricing models. Some recent work on order statistics and spacings will be introduced.