Results 111 to 120 of about 513 (127)

Infinitely Divisible Limit Processes for the Ewens Sampling Formula

Lithuanian Mathematical Journal, 2002
This paper is concerned with infinitely divisible limit processes for the Ewens sampling formula. The formula states that if there are no selection effects, the numbers of alleles \(k_1,k_2,\dots,k_n\) represented \(1,2,\dots,n\) times, respectively, in a sample of \(n\) genes are \[ \frac{n!}{v(v+1)\cdots (v+n-1)}\prod^n_{j=1} (v/j)^{k_j}/k_j,\quad v>
Babu, G. J., Manstavičius, E.
openaire   +2 more sources

A stability property of the Ewens sampling formula

Journal of Applied Probability, 1983
An error bound for convergence to the Ewens sampling formula is given where the population size or mutation rate may vary from generation to generation, or the population is not yet at equilibrium. An application is given to a model of Hartl and Campbell about selectively-equivalent subtypes within a class of deleterious alleles, and a theorem is ...
openaire   +1 more source

Estimating the large mutation parameter of the Ewens sampling formula

Journal of Applied Probability, 2017
AbstractWe derive some limit theorems associated with the Ewens sampling formula when its parameter is increasing together with a sample size. Moreover, the limit results are applied in order to investigate asymptotic properties of the maximum likelihood estimator.
openaire   +1 more source

A functional central limit theorem for the Ewens sampling formula

Journal of Applied Probability, 1990
For eachn> 0, the Ewens sampling formula from population genetics is a measure on the set of all partitions of the integern. To determine the limiting distributions for the part sizes of a partition with respect to the measures given by this formula, we associate to each partition a step function on [0, 1].
openaire   +2 more sources

Prediction in Ewens–Pitman sampling formula and random samples from number partitions

Annals of the Institute of Statistical Mathematics, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Asymptotic and Approximate Discrete Distributions for the Length of the Ewens Sampling Formula

2020
The Ewens sampling formula is well known as the probability for a partition of a positive integer. Here, we discuss the asymptotic and approximate discrete distributions of the length of the formula. We give a sufficient condition for the length to converge in distribution to the shifted Poisson distribution. This condition is proved using two methods:
openaire   +1 more source

Dirichlet Process, Ewens Sampling Formula, and Chinese Restaurant Process

2020
The Dirichlet process is a random probability measure and its realization is discrete almost surely. Therefore, there may be duplications among a sample from a distribution having the Dirichlet process. The distribution of this duplication is well known as the Ewens sampling formula.
openaire   +1 more source

On The Mutation Parameter of Ewens Sampling Formula

2016
Ewens sampling formula is the sampling distribution for a population assumed to follow a one parameter Poisson-Dirichlet distribution, where the parameter is fixed. In this project this assumption will be loosened and we will look at the parameter as a function of the sample size.
openaire   +1 more source

Stein’s method for the Poisson–Dirichlet distribution and the Ewens sampling formula, with applications to Wright–Fisher models

Annals of Applied Probability, 2021
Nathan Ross
exaly  

Asymptotic UMVUE: Asymptotic Moments Matching the UMVUE under the Ewens Sampling Formula

Calcutta Statistical Association Bulletin, 2023
Masayo Y Hirose, Shuhei Mano
exaly