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Barry Arnold

2011-12-20
15:20:00 - 16:10:00

101 , Mathematics Research Center Building (ori. New Math. Bldg.)

To explore the interrelationship between Pfeifer records (P-records) and generalized order statistics, we begin by considering a Markov process which we call a uniform generalized order statistic process. A standard transformation leads to a generalized order statistic process related to non-uniform generalized order statistics. Interpretation of P-records and generalized order statistics in terms of this process facilitates the study of the asymptotic distribution of P-records and sheds light on the asymptotic behavior of extreme generalized order statistics. Background material on record values will be provided. (Joint work with Jose A. Villasenor, Colegio de Postgraduados, Mexico).