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pro vyhledávání: '"Griffiths, P C"'
A Bayesian nonparametric method of James, Lijoi \& Prunster (2009) used to predict future values of observations from normalized random measures with independent increments is modified to a class of models based on negative binomial processes for whi
Externí odkaz:
http://arxiv.org/abs/2402.11563
Autor:
Griffiths, Robert C., Jenkins, Paul A.
Recombination is a fundamental evolutionary force, but it is difficult to quantify because the effect of a recombination event on patterns of variation in a sample of genetic data can be hard to discern. Estimators for the recombination rate, which a
Externí odkaz:
http://arxiv.org/abs/2212.07747
Consider the diffusion process defined by the forward equation $u_t(t, x) = \tfrac{1}{2}\{x u(t, x)\}_{xx} - \alpha \{x u(t, x)\}_{x}$ for $t, x \ge 0$ and $-\infty < \alpha < \infty$, with an initial condition $u(0, x) = \delta(x - x_0)$. This equat
Externí odkaz:
http://arxiv.org/abs/2210.12894
We study a large class of long-range random walks which take values on the vertices of an N dimensional hypercube. These processes are connected with multivariate Bernoulli autoregression.
Comment: 25 pages, 1 figure
Comment: 25 pages, 1 figure
Externí odkaz:
http://arxiv.org/abs/2201.12435
The stationary asymptotic properties of the diffusion limit of a multi-type branching process with neutral mutations are studied. For the critical and subcritical processes the interesting limits are those of quasi-stationary distributions conditione
Externí odkaz:
http://arxiv.org/abs/2107.13197
Publikováno v:
Stochastic processes and their applications 179, 104500, 2024
The two-parameter Poisson-Dirichlet diffusion takes values in the infinite ordered simplex and extends the celebrated infinitely-many-neutral-alleles model, having a two-parameter Poisson-Dirichlet stationary distribution. Here we identify a dual pro
Externí odkaz:
http://arxiv.org/abs/2102.08520
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The transition distribution of a sample taken from a Wright-Fisher diffusion with general small mutation rates is found using a coalescent approach. The approximation is equivalent to having at most one mutation in the coalescent tree of the sample u
Externí odkaz:
http://arxiv.org/abs/1812.05236
The stationary distribution of a sample taken from a Wright-Fisher diffusion with general small mutation rates is found using a coalescent approach. The approximation is equivalent to having at most one mutation in the coalescent tree to the first or
Externí odkaz:
http://arxiv.org/abs/1802.07875