On Poisson approximations for the Ewens sampling formula when the mutation parameter grows with the sample size
From MaRDI portal
Publication:1737967
DOI10.1214/18-AAP1433zbMath1466.60053arXiv1704.06768MaRDI QIDQ1737967
Publication date: 24 April 2019
Published in: The Annals of Applied Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1704.06768
Asymptotic distribution theory in statistics (62E20) Central limit and other weak theorems (60F05) Genetics and epigenetics (92D10) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12) Genetic algebras (17D92)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Donsker and Glivenko-Cantelli theorems for a class of processes generalizing the empirical process
- Gaussian limiting distributions for the number of components in combinatorial structures
- Simulating the component counts of combinatorial structures
- Poisson approximation for random sums of Bernoulli random variables
- A short proof of Darboux's lemma
- Random permutations and Brownian motion
- The cycle structure of random permutations
- Poisson process approximations for the Ewens sampling formula
- Models for the logarithmic species abundance distributions
- Mixtures of Dirichlet processes with applications to Bayesian nonparametric problems
- The ubiquitous Ewens sampling formula
- Diffusion processes and the Ewens sampling formula
- Exploiting the Feller coupling for the Ewens sampling formula
- Relatives of the Ewens sampling formula in Bayesian nonparametrics
- Bayesian nonparametric modeling and the ubiquitous Ewens sampling formula
- Limits of logarithmic combinatorial structures.
- Exchangeable and partially exchangeable random partitions
- Total variation asymptotics for Poisson process approximations for logarithmic combinatorial assemblies
- Extreme sizes in Gibbs-type exchangeable random partitions
- Functional central limit theorems in \(L^{2}(0,1)\) for logarithmic combinatorial assemblies
- Probabilistic divide-and-conquer: deterministic second half
- A change detection procedure for an ergodic diffusion process
- Large deviations associated with Poisson-Dirichlet distribution and Ewens sampling formula
- The sampling theory of selectively neutral alleles
- A Bayesian analysis of some nonparametric problems
- On the rate of Poisson convergence
- A functional central limit theorem for the Ewens sampling formula
- The Poisson-Dirichlet Distribution and Related Topics
- Refined Approximations for the Ewens Sampling Formula
- Limit Theorems for Combinatorial Structures via Discrete Process Approximations
- Asymptotic Statistics
- Estimating the large mutation parameter of the Ewens sampling formula
- The sampling theory of selectively neutral alleles
- Probabilistic Divide-and-Conquer: A New Exact Simulation Method, With Integer Partitions as an Example
- Edgeworth Expansions for the Number of Distinct Components Associated with the Ewens Sampling Formula
- Ordered Cycle Lengths in a Random Permutation
This page was built for publication: On Poisson approximations for the Ewens sampling formula when the mutation parameter grows with the sample size
