Tail behavior of random products and stochastic exponentials
نویسندگان
چکیده
منابع مشابه
Tail Behavior of Random Products and Stochastic Exponentials
In this paper we study the distributional tail behavior of the solution to a linear stochastic differential equation driven by infinite variance α-stable Lévy motion. We show that the solution is regularly varying with index α. An important step in the proof is the study of a Poisson number of products of independent random variables with regularly varying tail. The study of these products dese...
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ژورنال
عنوان ژورنال: Stochastic Processes and their Applications
سال: 2008
ISSN: 0304-4149
DOI: 10.1016/j.spa.2007.05.003