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Numbers of near-maxima for the bivariate case

✍ Scribed by I. Bairamov; A. Stepanov


Book ID
108267674
Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
561 KB
Volume
80
Category
Article
ISSN
0167-7152

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Let X 1 ; X 2 ; : : : ; be a sequence of i.i.d. random variables. X j ; j 6 n is called a near-maximum i X j falls within a distance of the maximum M n = max{X 1 ; : : : ; X n }. In this paper, we focus on medium tailed distributions. A useful relationship on the number of near-maxima is built betwe