activity
20172023
most citedPossibility-theoretic statistical inference offers performance and probativeness assurances

10 citations · 27 across the 10 of their papers we have counts for

collaborators

10 papers

math.ST2023★ 10 cited

Possibility-theoretic statistical inference offers performance and probativeness assurances

Leonardo Cella, Ryan Martin

Statisticians are largely focused on developing methods that perform well in a frequentist sense -- even the Bayesians. But the widely-publicized replication crisis suggests that t…

math.ST2023★ 7 cited

A possibility-theoretic solution to Basu's Bayesian--frequentist via media

Ryan Martin

Basu's via media is what he referred to as the middle road between the Bayesian and frequentist poles. He seemed skeptical that a suitable via media could be found, but I disagree.…

math.ST2023★ 1 cited

Fiducial inference viewed through a possibility-theoretic inferential model lens

Ryan Martin

Fisher's fiducial argument is widely viewed as a failed version of Neyman's theory of confidence limits. But Fisher's goal -- Bayesian-like probabilistic uncertainty quantification…

math.ST2023★ 5 cited

Empirical Bayes inference in sparse high-dimensional generalized linear models

Yiqi Tang, Ryan Martin

High-dimensional linear models have been widely studied, but the developments in high-dimensional generalized linear models, or GLMs, have been slower. In this paper, we propose an…

math.ST2023

Elucidating Inferential Models with the Cauchy Distribution

Chuanhai Liu, Ryan Martin

Statistical inference as a formal scientific method to covert experience to knowledge has proven to be elusively difficult. While frequentist and Bayesian methodologies have been a…

stat.ME2022★ 1 cited

Valid and efficient imprecise-probabilistic inference with partial priors, II. General framework

Ryan Martin

Bayesian inference requires specification of a single, precise prior distribution, whereas frequentist inference only accommodates a vacuous prior. Since virtually every real-world…