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A Probabilistic Approach to the Convolution Transform

Published online by Cambridge University Press:  20 November 2018

Louis-Paul Rivest
Louis-Paul Rivest*
Affiliation:
Department of Statistics, University of Toronto Toronto, Ontario M5S 1A1
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Abstract

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The inversion and the characterization of the convolution transform is derived via the concept of unimodality introduced by Khintchine (1938). This method yields simple and intuitively appealing proofs.

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 24 , Issue 2 , 01 June 1981 , pp. 205 - 211
Copyright
Copyright © Canadian Mathematical Society 1981

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