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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

The supports of infinitely divisible distribution functions


Author: Howard G. Tucker
Journal: Proc. Amer. Math. Soc. 49 (1975), 436-440
MSC: Primary 60E05
MathSciNet review: 0365658
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Abstract: An infinitely divisible probability measure over the real line whose associated Lévy spectral measure gives nonzero mass to every deleted neighborhood of the origin is shown to have as its support an interval of the form $ ( - \infty ,a],[a,\infty )$ or $ ( - \infty ,\infty )$.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1975-0365658-X
PII: S 0002-9939(1975)0365658-X
Keywords: Support of a distribution function, infinitely divisible distribution function, Lévy spectral measure, independent random variables, distribution function, characteristic function
Article copyright: © Copyright 1975 American Mathematical Society