(Received January 22, 1998; revised April 30, 1998)
Abstract. We study the extent to which the property of semistability of a random vector in Rd is determined by semistability of its marginals, and the place of semistable laws within the family of type G and sub-stable laws. Similarities and differences between stable and semistable laws are discussed.
Key words and phrases: Semistable distribution, type G distribution, infinitely divisible distribution, stable distribution.
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