SELFDECOMPOSABILITY PERPETUITY LAWS AND STOPPING TIMES
Abstract: The decomposability property of Lévy class of probability distributions, on a
Banaeh space, is extended to a family of stopping times associated with background driving
Lévy processes (BDLP). As consequences, this allows us to show that all selfdecom-posable
measures are perpetuity laws and to get a representation of gamma distribution as an infinite
product of independent uniform distributions.
1991 AMS Mathematics Subject Classification: Primary -; Secondary -;
Key words and phrases: -