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Teoriya Veroyatnostei i ee Primeneniya, 1956, Volume 1, Issue 2, Pages 283–288 (Mi tvp5002)  
This article is cited in 180 scientific papers (total in 181 papers)

Short Communications

On the Composition of Unimodal Distributions

I. A. Ibragimov

Leningrad
Full-text PDF (610 kB) Citations (181)
Abstract: A distribution function is called strong unimodal if its composition with any unimodal distribution function is unimodal.
The following theorem is proved:
For a proper unimodal distribution $F(x)$ to be strong unimodal, it is necessary and sufficient that the function $F(x)$ be continuous, and the function log $F'(x)$ be concave at a set of points where neither the right nor the left derivative of the function $F(x)$ is equal to zero.
Received: 20.01.1956
English version:
Theory of Probability and its Applications, 1956, Volume 1, Issue 2, Pages 255–260
DOI: https://doi.org/10.1137/1101021
Document Type: Article
Language: Russian
Citation: I. A. Ibragimov, “On the Composition of Unimodal Distributions”, Teor. Veroyatnost. i Primenen., 1:2 (1956), 283–288; Theory Probab. Appl., 1:2 (1956), 255–260
Citation in format AMSBIB
\Bibitem{Ibr56}
\by I.~A.~Ibragimov
\paper On the Composition of Unimodal Distributions
\jour Teor. Veroyatnost. i Primenen.
\yr 1956
\vol 1
\issue 2
\pages 283--288
\mathnet{http://mi.mathnet.ru/tvp5002}
\transl
\jour Theory Probab. Appl.
\yr 1956
\vol 1
\issue 2
\pages 255--260
\crossref{https://doi.org/10.1137/1101021}
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    • This publication is cited in the following 181 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
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