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Runs in a Bivariate Sequence Over the First Coordinate
Authors:Serkan Eryilmaz  Muhammet Bekçi
Institution:1. Department of Mathematics , Izmir University of Economics , Izmir, Turkey serkan.eryilmaz@ieu.edu.tr;3. Department of Statistics , Ege University , Izmir, Turkey
Abstract:Let (X 1, Y 1), (X 2, Y 2),… be a sequence of independent and identically distributed (i.i.d.) pairs of random variables with two possible outcomes at each coordinate. Runs in the second coordinate are considered until the appearance of the first success in the first coordinate.
Keywords:Bivariate random variables  Longest run  Order statistics  Runs
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