3 papers
math.PR2020
Arcsine laws for random walks generated from random permutations with applications to genomics
Xiao Fang, Han Liang Gan, Susan Holmes +4
A classical result for the simple symmetric random walk with steps is that the number of steps above the origin, the time of the last visit to the origin, and the time of the…
math.PR2019
Stein's method for the Poisson-Dirichlet distribution and the Ewens Sampling Formula, with applications to Wright-Fisher models
Han L. Gan, Nathan Ross
We provide a general theorem bounding the error in the approximation of a random measure of interest--for example, the empirical population measure of types in a Wright-Fisher mode…
math.PR2019
Stein's method and duality of Markov processes
Han L. Gan
One of the key ingredients to successfully apply Stein's method for distributional approximation are solutions to the Stein equations and their derivatives. Using Barbour's generat…