290 citations · 934 across the 51 of their papers we have counts for
58 papers
A note on kernel density estimators with optimal bandwidths
Nils Lid Hjort, Stephen G. Walker
We show that the cumulative distribution function corresponding to a kernel density estimator with optimal bandwidth lies outside any confidence interval, around the empirical dist…
A Non-homogeneous Count Process: Marginalizing a Poisson Driven Cox Process
Shuying Wang, Stephen G. Walker
The paper considers a Cox process where the stochastic intensity function for the Poisson data model is itself a non-homogeneous Poisson process. We show that it is possible to obt…
A multidimensional objective prior distribution from a scoring rule
Isadora Antoniano-Villalobos, Cristiano Villa, Stephen G. Walker
The construction of objective priors is, at best, challenging for multidimensional parameter spaces. A common practice is to assume independence and set up the joint prior as the p…
Bayesian Data Augmentation for Partially Observed Stochastic Compartmental Models
Shuying Wang, Stephen G. Walker
Deterministic compartmental models are predominantly used in the modeling of infectious diseases, though stochastic models are considered more realistic, yet are complicated to est…
Uncertainty Quantification and the Marginal MDP Model
Blake Moya, Stephen G. Walker
The paper presents a new perspective on the mixture of Dirichlet process model which allows the recovery of full and correct uncertainty quantification associated with the full mod…
On Integral Theorems and their Statistical Properties
Nhat Ho, Stephen G. Walker
We introduce a class of integral theorems based on cyclic functions and Riemann sums approximating integrals. The Fourier integral theorem, derived as a combination of a transform…