1976•The Annals of ProbabilityOpen access

On the Unimodality of Stable Densities

Marek Kanter

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Abstract

The current proof of the unimodality of all stable densities uses general harmonic function arguments to interpolate unimodality between the symmetric case and the totally asymmetric case. It is here shown that the proof is invalid.

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What this paper is about

The current proof of the unimodality of all stable densities uses general harmonic function arguments to interpolate unimodality between the symmetric case and the totally asymmetric case. It is here shown that the proof is invalid.

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Available abstract

The current proof of the unimodality of all stable densities uses general harmonic function arguments to interpolate unimodality between the symmetric case and the totally asymmetric case. It is here shown that the proof is invalid.

Key concepts: Unimodality, Mathematics, Symmetric function, Combinatorics, Mathematical analysis

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