30 citations · 64 across the 14 of their papers we have counts for
7 papers · 1 filter
An approximate zero bias transformation for random sums: Applications to sampling with outliers, auto insurance, and generative AI
Wasamon Jantai, Nathakhun Wiroonsri
We develop bounds for the difference between a test function of a random sum and a standard normal random variable, where the summands are assumed to be independent but not n…
Normal approximation for fire incident simulation using permanental Cox processes
Dawud Thongtha, Nathakhun Wiroonsri
Estimating the number of natural disasters benefits the insurance industry in terms of risk management. However, the estimation process is complicated due to the fact that there ar…
Concentration inequalities using approximate zero bias couplings with applications to Hoeffding's statistic under the Ewens distribution
Nathakhun Wiroonsri
We prove concentration inequalities of the form for a random variable with mean zero and variance using a coupling technique from Stein's met…
Normal approximation for associated point processes via Stein's method with applications to determinantal point processes
Nathakhun Wiroonsri
We use Stein's method to provide non asymptotic bounds to the normal for functionals of associated point processes. As for supporting tools, we use the connection between ass…
Stein's method for negatively associated random variables with applications to second order stationary random fields
Nathakhun Wiroonsri
Let be a negatively associated mean zero random vector with components that obey the bound , and whose sum $W = \sum_{i=1…
Stein's method using approximate zero bias couplings with applications to combinatorial central limit theorems under the Ewens distribution
Nathakhun Wiroonsri
We generalize the well-known zero bias distribution and the -Stein pair to an approximate zero bias distribution and an approximate -Stein pair, respectively. Berry Esseen…
Stein's method for positively associated random variables with applications to the Ising and voter models, bond percolation, and contact process
Larry Goldstein, Nathakhun Wiroonsri
We provide non-asymptotic bounds to the normal for four well-known models in statistical physics and particle systems in ; the ferromagnetic nearest-neighbor Is…