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Distributions with complete monotone derivative and geometric infinite divisibility

Published online by Cambridge University Press:  01 July 2016

R. N. Pillai  and
E. Sandhya
R. N. Pillai*
Affiliation:
University of Kerala
E. Sandhya*
Affiliation:
University of Kerala
*
∗Postal address: Department of Statistics, University of Kerala, Kariavattom (P.O.), Trivandrum-695 581, India.
∗Postal address: Department of Statistics, University of Kerala, Kariavattom (P.O.), Trivandrum-695 581, India.
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Abstract

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It is shown that a distribution with complete monotone derivative is geometrically infinitely divisible and that the class of distributions with complete monotone derivative is a proper subclass of the class of geometrically infinitely divisible distributions.

Type
Letters to the Editor
Information
Advances in Applied Probability , Volume 22 , Issue 3 , September 1990 , pp. 751 - 754
Copyright
Copyright © Applied Probability Trust 1990 

Footnotes

The second author's research is supported by the Council of Scientific and Industrial Research, India in the form of a Junior Research Fellowship.

References

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