no code implementations • 10 Jan 2022 • Nhat Ho, Stephen G. Walker
We present simple conditions for Bayesian consistency in the supremum metric.
no code implementations • 22 Jul 2021 • Nhat Ho, Stephen G. Walker
We introduce a class of integral theorems based on cyclic functions and Riemann sums approximating integrals.
no code implementations • 11 Jun 2021 • Nhat Ho, Stephen G. Walker
Taking the Fourier integral theorem as our starting point, in this paper we focus on natural Monte Carlo and fully nonparametric estimators of multivariate distributions and conditional distribution functions.
no code implementations • 11 Mar 2021 • Preston Biro, Stephen G. Walker
With the vast amount of data collected on football and the growth of computing abilities, many games involving decision choices can be optimized.
no code implementations • 28 Dec 2020 • Nhat Ho, Stephen G. Walker
Starting with the Fourier integral theorem, we present natural Monte Carlo estimators of multivariate functions including densities, mixing densities, transition densities, regression functions, and the search for modes of multivariate density functions (modal regression).
no code implementations • 4 Feb 2018 • Andrew J. Blumberg, Prithwish Bhaumik, Stephen G. Walker
We study the problem of distinguishing between two distributions on a metric space; i. e., given metric measure spaces $({\mathbb X}, d, \mu_1)$ and $({\mathbb X}, d, \mu_2)$, we are interested in the problem of determining from finite data whether or not $\mu_1$ is $\mu_2$.