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

abstract

• We show that the formula of Faà di Bruno for the derivative of a composite function gives, in special cases, the sampling distributions in population genetics that are due to Ewens and to Pitman. The composite function is the same in each case. Other sampling distributions also arise in this way, such as those arising from Dirichlet, multivariate hypergeometric, and multinomial models, special cases of which correspond to Bose-Einstein, Fermi-Dirac, and Maxwell-Boltzmann distributions in physics. Connections are made to compound sampling models.

authors

• Hoppe, Fred

status

• published 

publication date

• June 2008

has subject area

• 0501 Ecological Applications (FoR)
• 0602 Ecology (FoR)
• 0604 Genetics (FoR)
• Binomial Distribution (MeSH)
• Evolutionary Biology (Science Metrix)
• Genetics, Population (MeSH)
• Models, Genetic (MeSH)
• Probability (MeSH)
• Sample Size (MeSH)

published in

• Theoretical Population Biology  Journal

presented at event

• Threads Colloquium  Conference

keywords

• Binomial Distribution
• Genetics, Population
• Models, Genetic
• Probability
• Sample Size

Digital Object Identifier (DOI)

• 10.1016/j.tpb.2008.03.003

PubMed ID

• 18452961

start page

• 543

end page

• 551

volume

• 73

issue

• 4