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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Complex roots of real characteristic functions


Authors: Robert G. Staudte and Mahabanoo N. Tata
Journal: Proc. Amer. Math. Soc. 25 (1970), 238-246
MSC: Primary 60.20
DOI: https://doi.org/10.1090/S0002-9939-1970-0264732-1
MathSciNet review: 0264732
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Abstract: For each positive rational $ r$ which is not the reciprocal of an integer a complex-valued characteristic function is constructed whose $ r$th power is a real-valued characteristic function.


References [Enhancements On Off] (What's this?)

  • [1] Eugene Lukacs, Characteristic functions, Griffin’s Statistical Monographs& Courses, No. 5. Hafner Publishing Co., New York, 1960. MR 0124075

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1970-0264732-1
Keywords: Convolutions, distribution functions, roots of characteristic functions, symmetric distribution functions
Article copyright: © Copyright 1970 American Mathematical Society