Comments on some papers involving the integrated Cauchy function equation

Fosam, E. B. ; Rao, C. R. ; Shanbhag, D. N. (1993) Comments on some papers involving the integrated Cauchy function equation Statistics & Probability Letters, 17 (4). pp. 299-302. ISSN 0167-7152

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Official URL: http://www.sciencedirect.com/science/article/pii/0...

Related URL: http://dx.doi.org/10.1016/0167-7152(93)90206-X

Abstract

Downton (1969), Arnold and Ghosh (1976) and Klebanov (1980) have dealt with certain versions of the integrated Cauchy functional equation to characterize either exponential or geometric distributions. In this short communication revelations are made on these papers, showing, in particular, how the results arrived at therein are linked with the Lau-Rao theorem. Some blemishes existing in these papers, including a major one in Downton (1969), are also pointed out.

Item Type:Article
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