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Generalization to the sufficient conditions for a discrete random variable to be infinitely divisible
Affiliation:1. State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, College of Mechanical and Vehicle Engineering, Hunan University, Changsha City 410082, PR China;2. Department of Ocean and Mechanical Engineering, Florida Atlantic University, Boca Raton, FL 33431-0991, USA
Abstract:The convenient sufficient conditions for the infinite divisibility of discrete distributions are generalized. A numerical example is presented. The role of infinitely divisible distributions in applications is discussed.
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