A generalised Dickman distribution and the number of species in a negative binomial process model
DOI10.1017/apr.2020.61zbMath1490.60112OpenAlexW3181840525MaRDI QIDQ5022267
Yuguang Ipsen, Soudabeh Shemehsavar, Ross A. Maller
Publication date: 18 January 2022
Published in: Unnamed Author (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/apr.2020.61
Ewens sampling formulasize-biased samplingnumber of speciesgeneralised Poisson-Dirichlet lawsnegative binomial point processgeneralised Dickman distribution
Processes with independent increments; Lévy processes (60G51) Asymptotic distribution theory in statistics (62E20) Applications of statistics to biology and medical sciences; meta analysis (62P10) Random measures (60G57) Stable stochastic processes (60G52) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)
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- Bounded size bias coupling: a gamma function bound, and universal Dickman-function behavior
- The two-parameter Poisson-Dirichlet point process
- Nicolaas Govert de Bruijn, the enchanter of friable integers
- Perfect simulation of Vervaat perpetuities
- Negative binomial distributions for point processes
- Models for the logarithmic species abundance distributions
- Is the most frequent allele the oldest?
- The two-parameter Poisson-Dirichlet distribution derived from a stable subordinator
- Logarithmic combinatorial structures: A probabilistic approach
- On the strange domain of attraction to generalized Dickman distributions for sums of independent random variables
- Trimmed Lévy processes and their extremal components
- Limiting distributions of generalised Poisson-Dirichlet distributions based on negative binomial processes
- Size biased sampling from the Dickman subordinator
- The Dickman subordinator, renewal theorems, and disordered systems
- Combinatorial stochastic processes. Ecole d'Eté de Probabilités de Saint-Flour XXXII -- 2002.
- The sampling theory of selectively neutral alleles
- Average running time of the fast Fourier transform
- The stationary distribution of the infinitely-many neutral alleles diffusion model
- Negative Binomial Construction of Random Discrete Distributions on the Infinite Simplex
- Random minimal directed spanning trees and Dickman-type distributions
- Analysis of quickselect : an algorithm for order statistics
- Note on the inversion theorem
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