Mixtures and limits of symmetric random integer partitions View Full Text


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Article Info

DATE

2012-08

AUTHORS

Mauro Gasparini

ABSTRACT

In problems of species counts, the interest is more on the number of different species and their relative abundance rather than on counts of representatives of specific species. This kind of problems originated in Genetics, where species are alleles of a gene, but are also common in other applied sciences. Ewens sampling formula is the first and most famous devoted probability distribution, obtained by a geneticist, in this area of research. From a statistical point of view, Ewens sampling formula is an example of distribution of a random integer partition, i.e. a random list of multiplicities m1, …,mn such that m1 + 2m2 + … nmn = n. In this paper, Ewens and other distributions of symmetric random integer partitions are obtained without reference to biological evolutionary models. Then, their mixtures and limits are studied, obtaining some interesting relationships and some new examples. More... »

PAGES

207-217

Journal

TITLE

METRON

ISSUE

2-3

VOLUME

70

Author Affiliations

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/bf03321976

DOI

http://dx.doi.org/10.1007/bf03321976

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1043111076


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