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04/14/2023
A Non-homogeneous Count Process: Marginalizing a Poisson Driven Cox Process
The paper considers a Cox process where the stochastic intensity functio...
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02/06/2023
A multidimensional objective prior distribution from a scoring rule
The construction of objective priors is, at best, challenging for multid...
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06/17/2022
Bayesian Data Augmentation for Partially Observed Stochastic Compartmental Models
Deterministic compartmental models are predominantly used in the modelin...
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06/16/2022
Uncertainty Quantification and the Marginal MDP Model
The paper presents a new perspective on the mixture of Dirichlet process...
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01/10/2022
Bayesian Consistency with the Supremum Metric
We present simple conditions for Bayesian consistency in the supremum me...
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07/22/2021
On Integral Theorems: Monte Carlo Estimators and Optimal Functions
We introduce a class of integral theorems based on cyclic functions and ...
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06/11/2021
Statistical Analysis from the Fourier Integral Theorem
Taking the Fourier integral theorem as our starting point, in this paper...
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06/11/2021
On an Asymptotic Distribution for the MLE
The paper presents a novel asymptotic distribution for a mle when the lo...
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06/03/2021
A New Measure of Overlap: An Alternative to the p–value
In this paper we present a new measure for the overlap of two density fu...
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05/07/2021
An Objective Prior from a Scoring Rule
In this paper we introduce a novel objective prior distribution levering...
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03/29/2021
Martingale Posterior Distributions
The prior distribution on parameters of a likelihood is the usual starti...
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03/11/2021
A Reinforcement Learning Based Approach to Play Calling in Football
With the vast amount of data collected on football and the growth of com...
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12/28/2020
Multivariate Smoothing via the Fourier Integral Theorem and Fourier Kernel
Starting with the Fourier integral theorem, we present natural Monte Car...
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10/16/2020
A Latent Slice Sampling Algorithm
In this paper we introduce a new sampling algorithm which has the potent...
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03/12/2020
Posterior asymptotics in Wasserstein metrics on the real line
In this paper, we use the class of Wasserstein metrics to study asymptot...
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02/04/2018
Testing to distinguish measures on metric spaces
We study the problem of distinguishing between two distributions on a me...
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12/11/2017
Fast nonparametric near-maximum likelihood estimation of a mixing density
Mixture models are regularly used in density estimation applications, bu...
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09/08/2017