Faà di Bruno's formula and the distributions of random partitions in population genetics and physics

DOI10.1016/j.tpb.2008.03.003zbMath1210.92006OpenAlexW2157288200WikidataQ51887234 ScholiaQ51887234MaRDI QIDQ615484

Fred M. Hoppe

Publication date: 5 January 2011

Published in: Theoretical Population Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.tpb.2008.03.003

zbMATH Keywords

partitionprobabilityderivativeTaylor seriesEwens sampling formulanegative-binomialcomposite functionFaà di Bruno's formulacompound sampling modelsFisher logarthimic series

Mathematics Subject Classification ID

Applications of statistics to biology and medical sciences; meta analysis (62P10) Genetics and epigenetics (92D10)

Related Items (7)

Feller coupling of cycles of permutations and Poisson spacings in inhomogeneous Bernoulli trials ⋮ On a \(q\)-analogue of Faà di Bruno's determinant formula ⋮ Shannon information entropy, soliton clusters and Bose-Einstein condensation in log gravity ⋮ A unified approach to some recurrence sequences via Faà di Bruno's formula ⋮ Mixtures and limits of symmetric random integer partitions ⋮ Some extensions of Faà di Bruno's formula with divided differences ⋮ Faà di Bruno for operads and internal algebras

Cites Work

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• Combinatorial stochastic processes. Ecole d'Eté de Probabilités de Saint-Flour XXXII -- 2002.
• The sampling theory of selectively neutral alleles
• The stationary distribution of the infinitely-many neutral alleles diffusion model
• Ordered Cycle Lengths in a Random Permutation

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