3 citations · 4 across the 3 of their papers we have counts for
6 papers
On Hilbert's 8th Problem
Nicholas G. Polson
A Hadamard factorisation of the Riemann -function is used to characterise the zeros of the zeta function through the theory of generalized gamma convolutions (GGC). Riemann's r…
Horseshoe Priors for Spatial Small Area Estimation: Regular Variation, Tail Robustness, and Deep Learning
Dhiman Bhadra, Nicholas Polson
Small area estimation borrows strength across domains to repair the poor precision of direct survey estimators. Two philosophies dominate the area-level literature. The first, desc…
Riemann, Thorin, van Dantzig Pairs, Wald Couples and Hadamard Factorisation
Nicholas G. Polson
Zeros of entire functions can be found using either the Fourier methods of Riemann-Polya or the Generalized Gamma Convolution (GGC) methods of Thorin-Bondesson. This connection is…
Quantile Importance Sampling
Jyotishka Datta, Nicholas G. Polson
In Bayesian inference, the approximation of integrals of the form is a fundamental challenge. Such integrals are…
Inverse Probability Weighting: from Survey Sampling to Evidence Estimation
Jyotishka Datta, Nicholas Polson
We consider the class of inverse probability weight (IPW) estimators, including the popular Horvitz-Thompson and Hajek estimators used routinely in survey sampling, causal inferenc…
Generative Causal Inference
Maria Nareklishvili, Nicholas Polson, Vadim Sokolov
Generative Bayesian Computation (GBC) methods are developed for Casual Inference. Generative methods are simulation-based methods that use a large training dataset to represent pos…