1. Independent sets and factorization of probability laws
- Author
-
Roger Cuppens
- Subjects
Statistics and Probability ,Numerical Analysis ,Class (set theory) ,Indecomposable distribution ,Characteristic function (probability theory) ,Poisson measures ,infinitely divisible ,Measure (mathematics) ,characteristic functions ,Combinatorics ,Compound Poisson distribution ,indecomposable factor ,Factorization ,Statistics, Probability and Uncertainty ,Indecomposable module ,Infinite divisibility ,Mathematics - Abstract
Let f be an infinitely divisible characteristic function without normal factor. We establish some sufficient conditions for f to belong to the class of characteristic functions without indecomposable factor. These conditions concern the support of the measure appearing in the Levy-Khintchine representation of f .
- Published
- 1972