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Joseph Mecke's last fragmentary manuscripts - a compilation

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arxiv 1703.10000 v2 pith:L6WPDLTN submitted 2017-03-29 math.PR

Joseph Mecke , Werner Nagel , Viola Weiss This is my paper · ORCID
classification math.PR
keywords randomfragmentarygeneratingjosephlaplacelastmanuscriptsmecke
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Summarizing results from Joseph Mecke's last fragmentary manuscripts, the generating function and the Laplace transform for nonnegative random variables are considered. The concept of thickening of a random variable, as an inverse operation to thinning (which is usually applied to point processes) is introduced, based on generating functions, and a characterization of thickable random variables is given. Further, some new relations between exponential distributions and their interpretation in terms of Poisson point processes are derived with the help of the Laplace transform.

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  1. Bernstein Functions at Work: Coalescents, Copulas, and Subordination

    math.PR 2026-07 accept novelty 6.5 of 10

    Three open positivity problems on coalescent block counts, power-divergence copula generators, and special-Bernstein renewal sequences are resolved via Bernstein-function recognition calculus.

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