Unimodality and dominance for symmetric random vectors

Kanter, Marek

doi:10.1090/S0002-9947-1977-0445580-7

Unimodality and dominance for symmetric random vectors
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by Marek Kanter

Trans. Amer. Math. Soc. 229 (1977), 65-85

DOI: https://doi.org/10.1090/S0002-9947-1977-0445580-7

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Abstract:

In this paper a notion of unimodality for symmetric random vectors in ${R^N}$ is developed which is closed under convolution as well as weak convergence. A related notion of stochastic dominance for symmetric random vectors is also studied.

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