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The Integrated Cauchy Functional Equation: Some Comments on Recent Papers

Part of: Distribution theory

Published online by Cambridge University Press:  01 July 2016

C. R. Rao ,
T. Sapatinas  and
D. N. Shanbhag
C. R. Rao*
Affiliation:
Pennsylvania State University
T. Sapatinas
Affiliation:
University of Sheffield
D. N. Shanbhag*
Affiliation:
University of Sheffield
*
* Postal address: Department of Statistics, Pennsylvania State University, University Park, PA 16802, USA.
*** Postal address: School of Mathematics and Statistics, The University, Sheffield S10 2TN, UK.
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Abstract

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We make some comments on recent papers involving the integrated Cauchy functional equation or specialized versions of it, and reveal in particular that these papers give an inaccurate picture of the current state of the literature on the topic.

Keywords

LAU–RAO THEOREMDENY'S THEOREMEXPOTENTIAL AND GEOMETRIC DISTRIBUTIONSPOISSON PROCESS

MSC classification

Primary: 62E10: Characterization and structure theory
Type
Letters to the Editor
Information
Advances in Applied Probability , Volume 26 , Issue 3 , September 1994 , pp. 825 - 829
Copyright
Copyright © Applied Probability Trust 1994 

Footnotes

**

Present address: Department of Mathematical Statistics and Operational Research, Laver Building, Exeter University, Exeter, EX44QE, UK.

Research supported by US Army Research Grant DAA H04-93-G-0030.

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