19 citations · 22 across the 5 of their papers we have counts for
5 papers
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…
Power laws in preferential attachment graphs and Stein's method for the negative binomial distribution
Nathan Ross
For a family of linear preferential attachment graphs, we provide rates of convergence for the total variation distance between the degree of a randomly chosen vertex and an approp…
Exponential approximation and Stein's method of exchangeable pairs
Jason Fulman, Nathan Ross
We derive a new result for exponential approximation using Stein's method of exchangeable pairs. As an application, an exponential limit theorem with error term is derived for |Tr(…
The greatest convex minorant of Brownian motion, meander, and bridge
Jim Pitman, Nathan Ross
This article contains both a point process and a sequential description of the greatest convex minorant of Brownian motion on a finite interval. We use these descriptions to provid…
Step Size in Stein's Method of Exchangeable Pairs
Nathan Ross
Stein's method of exchangeable pairs is examined through five examples in relation to Poisson and normal distribution approximation. In particular, in the case where the exchangeab…