Numbers of near-maxima for the bivariate case

I. Bairamov and A. Stepanov

Statistics & Probability Letters, 2010, vol. 80, issue 3-4, 196-205

Abstract: Let be independent and identically distributed random vectors with continuous distribution. Let Kn(a,b1,b2) be the number of sample elements that belong to the open rectangle -- numbers of near-maxima in the bivariate case. In the present paper, we discuss asymptotic properties of Kn(a,b1,b2) and Kn([infinity],0,[infinity]).

Date: 2010
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