Abstract
In Example 2.7.14 we showed that, in general, unimodality on R is not preserved by convolution. The correction of this anomaly is the merit of Ibragimov [Ibr56], who introduced the notion of strong unimodality for probability measures on R. At the same time he indicated the tight relationship between this concept and that of logconcavity of probability density functions.
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© 1997 Springer Science+Business Media Dordrecht
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Bertin, E.M.J., Cuculescu, I., Theodorescu, R. (1997). Strong unimodality. In: Unimodality of Probability Measures. Mathematics and Its Applications, vol 382. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8808-9_6
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DOI: https://doi.org/10.1007/978-94-015-8808-9_6
Publisher Name: Springer, Dordrecht
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