Asymptotic Law of the jth Records in the Bivariate Exponential Case

We consider a sequence (Xi,Yi)1⩽i⩽n of independent and identically distributed random variables with joint cumulative distribution  H(x,y), which has exponential marginals F(x) and G(y) with parameter λ=1. We also assume that Xi(ω)≠Yi(ω), ∀i∈N, and ω∈Ω. We denote Rk(j)k⩾1 and Sk(j)k⩾1 by the sequen...

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Bibliographic Details
Main Author: Grine Azedine
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2014/458914