Sampling Formulae Arising from Random Dirichlet Populations

DOI10.1081/STA-200056809zbMath1065.60050OpenAlexW2008916218MaRDI QIDQ4681063

Thierry E. Huillet

Publication date: 14 June 2005

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/sta-200056809

zbMATH Keywords

Dirichlet partitionsize-biased permutationrandom discrete distributiongemEwens and Donnelly-Tavaré-Griffiths sampling formulae

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Exact distribution theory in statistics (62E15) Special processes (60K99) Approximations to statistical distributions (nonasymptotic) (62E17) Random measures (60G57)

Related Items (7)

Ewens sampling formulae with and without selection ⋮ Distributions of random partitions and their applications ⋮ Random evolutionary dynamics driven by fitness and house-of-cards mutations: sampling formulae ⋮ Detecting linear sequences and subsequences ⋮ Estimations of the parameter of a Dirichlet distribution using residual allocation model representations and sampling properties ⋮ Unordered and ordered sample from Dirichlet distribution ⋮ Karlin-McGregor mutational occupancy problem revisited

Cites Work

• Partition structures, Polya urns, the Ewens sampling formula, and the ages of alleles
• Birthday paradox, coupon collectors, caching algorithms and self- organizing search
• The two-parameter Poisson-Dirichlet distribution derived from a stable subordinator
• Ferguson distributions via Polya urn schemes
• Sampling from finite random partitions
• Coalescents with multiple collisions
• Ordered and unordered random partitions of an integer and the GEM distribution
• The sampling theory of selectively neutral alleles
• The heaps process, libraries, and size-biased permutations
• The ages of alleles and a coalescent
• Random partitions in population genetics
• Sampling problems for randomly broken sticks
• Poisson–Dirichlet and GEM Invariant Distributions for Split-and-Merge Transformations of an Interval Partition
• Random discrete distributions invariant under size-biased permutation

This page was built for publication: Sampling Formulae Arising from Random Dirichlet Populations