Speaker: Dr. Hsien-Kuei Hwang, Institute of Statistical Science, Academia Sinica, Taiwan.
Title: Maxima in multivariate samples and related structures
Date: Friday, October 21, 2016
Time: 3:30-4:30 p.m.
HP 4351 (MacPhail Room) Carleton University

ABSTRACT:  Dominance-based maxima of multidimensional samples have been intorduced in many scientific and engineering disciplines with different names and under diverse guises: they are sometimes referred to as nondominance, records, outer layers, efficiency, or noninferiority but are more frequently known as Pareto optimality or Pareto efficiency in econometrics, engineering, multi-objective optimization, decision making, etc. Other terms used with essentially the same denotation include admissibility in statistics, Pareto front (and the corresponding notion of elitism) in evolutionary algorithms, and skyline in database language. In this talk, I will give a brief survey on the diverse aspects (applications, algorithms and theory) of maxima in multivariate samples with a special highlight on probabilistic properties. Graduate students are encouraged to attend. For further information about the speaker please contact Jason Gao at zgao@math.carleton.ca

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