19 citations · 22 across the 5 of their papers we have counts for
10 papers · 1 filter
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…
Exponential and Laplace approximation for occupation statistics of branching random walk
Erol Peköz, Adrian Röllin, Nathan Ross
We study occupancy counts for the critical nearest-neighbor branching random walk on the -dimensional lattice, conditioned on non-extinction. For , Lalley and Zheng (20…
Local limit theorems for occupancy models
A. D. Barbour, Peter Braunsteins, Nathan Ross
We present a rather general method for proving local limit theorems, with a good rate of convergence, for sums of dependent random variables. The method is applicable when a Stein…
The Probability of Intransitivity in Dice and Close Elections
Jan Hązła, Elchanan Mossel, Nathan Ross +1
We study the phenomenon of intransitivity in models of dice and voting. First, we follow a recent thread of research for -sided dice with pairwise ordering induced by the probab…
Central moment inequalities using Stein's method
A. D. Barbour, Nathan Ross, Yuting Wen
We derive explicit central moment inequalities for random variables that admit a Stein coupling, such as exchangeable pairs, size--bias couplings or local dependence, among others.…
Error bounds in local limit theorems using Stein's method
A. D. Barbour, Adrian Röllin, Nathan Ross
We provide a general result for bounding the difference between point probabilities of integer supported distributions and the translated Poisson distribution, a convenient alterna…