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On Tails of Perpetuities
Journal article   Open access   Peer reviewed

On Tails of Perpetuities

Paweł Hitczenko
Journal of applied probability, v 47(4), pp 1191-1194
Dec 2010
url
https://doi.org/10.1239/jap/1294170529View
Published, Version of Record (VoR)Maybe Open Access (Publisher Bronze) Open

Abstract

60E15 tail behavior Perpetuity 60H25 stochastic difference equation
We establish an upper bound on the tails of a random variable that arises as a solution of a stochastic difference equation. In the nonnegative case our bound is similar to a lower bound obtained in Goldie and Grübel (1996).

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Statistics & Probability
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