AISM 52, 231-238
(Received February 9, 1998; revised July 3, 1998)
Abstract. We show that every strictly geometric stable (GS) random variable can be represented as a product of an exponentially distributed random variable and an independent random variable with an explicit density and distribution function. An immediate application of the representation is a straightforward simulation method of GS random variables. Our result generalizes previous representations for the special cases of Mittag-Leffler and symmetric Linnik distributions.
Key words and phrases: Heavy-tail distribution, Linnik distribution, Mittag-Leffler distribution, random summation, stable distribution.
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