Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1152889 | Statistics & Probability Letters | 2010 | 10 Pages |
Abstract
Let Z¯1=(X1,Y1)â¦,Z¯n=(Xn,Yn) 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 (Xmax(n)âa,Xmax(n))Ã(Ymax(n)âb1,Ymax(n)+b2) - numbers of near-maxima in the bivariate case. In the present paper, we discuss asymptotic properties of Kn(a,b1,b2) and Kn(â,0,â).
Related Topics
Physical Sciences and Engineering
Mathematics
Statistics and Probability
Authors
I. Bairamov, A. Stepanov,