Statistics Seminars: Permanents, order statistics, outliers and robustness (Part I)
14 April 2010 13:30 in Department of Mathematical Sciences, Durham University
In this talk, after briefly introducing order statistics and some relevant literature, I will describe single-outlier model and some relevant distribution theory for order statistics arising from such a model. In order to facilitate the generalization of this work to the case of the multiple-outlier model, I will describe the approach based on permanents. I will then present some key results and then illustrate their applications to robustness studies by taking the case of exponential and logistic as illustrative examples.
Biography of the speaker: N. Balakrishnan is a Professor in the Department of Mathematics and Statistics at McMaster University. His research interests include order statistics, distribution theory, robust inference, multivariate analysis, reliability, and statistical inference. He is a Fellow of the American Statistical Association, Fellow of the Institute of Mathematical Statistics, and an Elected Member of the International Statistical Institute. He is currently the Editor-in-Chief of Communications in Statistics and Encyclopedia of Statistical Sciences and the Executive Editor of Journal of Statistical Planning and Inference. He has authored/coauthored many books including the four volumes on Distributions in Statistics with Norman Johnson and Samuel Kotz, published by John Wiley & Sons.
An event within the Lecture Day with Prof. Balakrishnan, more info available at http://www.maths.dur.ac.uk/~dma0je/bala/