Article ID Journal Published Year Pages File Type
1153757 Statistics & Probability Letters 2010 9 Pages PDF
Abstract

We consider the equation Rn=Qn+MnRn−1Rn=Qn+MnRn−1, with random non-i.i.d. coefficients (Qn,Mn)n∈Z∈R2(Qn,Mn)n∈Z∈R2, and show that the distribution tails of the stationary solution to this equation are regularly varying at infinity.

Related Topics
Physical Sciences and Engineering Mathematics Statistics and Probability
Authors
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