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 | References | Similar Articles | Additional Information
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.
- Eugene Lukacs, Characteristic functions, Griffin’s Statistical Monographs& Courses, No. 5. Hafner Publishing Co., New York, 1960. MR 0124075
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Keywords:
Convolutions,
distribution functions,
roots of characteristic functions,
symmetric distribution functions
Article copyright:
© Copyright 1970
American Mathematical Society