Moments of the frequency spectrum of a splitting tree with neutral Poissonian mutations

DOI10.1214/16-EJP4577zbMath1348.60124arXiv1509.06500OpenAlexW2963885703MaRDI QIDQ320214

Henry Benoit, Nicolas Champagnat

Publication date: 6 October 2016

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.06500

zbMATH Keywords

branching processLévy processscale functionfrequency spectrumrandom measurePalm measurecoalescent point processallelic partitionCampbell's formulaCrump-Mode-Jagers processinfinite alleles modellinear birth-death processsplitting tree

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Strong limit theorems (60F15) Applications of branching processes (60J85) Random measures (60G57) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Genetics and epigenetics (92D10) Genetic algebras (17D92)

Related Items (4)

Central limit theorem for supercritical binary homogeneous Crump-Mode-Jagers processes ⋮ Probabilistic and Piecewise Deterministic models in Biology ⋮ Approximation of the allelic frequency spectrum in general supercritical branching populations ⋮ An accurate approximation for the expected site frequency spectrum in a Galton-Watson process under an infinite sites mutation model

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