Generalized fiducial inference: A review and new results

J Hannig, H Iyer, RCS Lai, TCM Lee - Journal of the American …, 2016 - Taylor & Francis
RA Fisher, the father of modern statistics, proposed the idea of fiducial inference during the
first half of the 20th century. While his proposal led to interesting methods for quantifying …

Discussion of “On the Birnbaum argument for the strong likelihood principle”

M Evans - 2014 - projecteuclid.org
Discussion of "On the Birnbaum Argument for the Strong Likelihood Principle" Page 1 Statistical
Science 2014, Vol. 29, No. 2, 242–246 DOI: 10.1214/14-STS471 Main article DOI …

Confidence distribution and distribution estimation for modern statistical inference

Y Cui, M Xie - arXiv preprint arXiv:2109.01898, 2021 - arxiv.org
This paper introduces to readers the new concept and methodology of confidence
distribution and the modern-day distributional inference in statistics. This discussion should …

Confidence distribution and distribution estimation for modern statistical inference

Y Cui, M Xie - Springer Handbook of Engineering Statistics, 2023 - Springer
This chapter introduces to readers the new concept and methodology of confidence
distribution and the modern-day distributional inference in statistics. This discussion should …

Demystifying Inferential Models: A Fiducial Perspective

Y Cui, J Hannig - arXiv preprint arXiv:2205.05612, 2022 - arxiv.org
Inferential models have recently gained in popularity for valid uncertainty quantification. In
this paper, we investigate inferential models by exploring relationships between inferential …

18 Generalized fiducial Inference: A Review

J Hannig - 2015 - adeit.estaticos.econgres.es
RA Fisher, the father of modern statistics, proposed the idea of fiducial inference in the
1930's. While his proposal led to some interesting methods for quantifying uncertainty, other …

Higher order asymptotics of generalized fiducial distribution

AP Majumder, J Hannig - arXiv preprint arXiv:1608.07186, 2016 - arxiv.org
Generalized Fiducial Inference (GFI) is motivated by RA Fisher's approach of obtaining
posterior-like distributions when there is no prior information available for the unknown …

[PDF][PDF] In addition to providing an inspiring exposition of generalized fiducial inference, the authors report these new contributions:(1) A weak-limit definition of a …

J Hannig, H Iyer - J. Amer. Statist. Assoc, 2016 - researchgate.net
The fiducial probability of a model is applicable to both model selection and model
averaging. A seemingly different fiducial method of averaging statistical models was …

LONG TIME ASYMPTOTICS OF SOME WEAKLY INTERACTING PARTICLE SYSTEMS AND HIGHER ORDER ASYMPTOTICS OF GENERALIZED FIDUCIAL …

A Pal Majumder - 2015 - cdr.lib.unc.edu
In probability and statistics limit theorems are some of the fundamental tools that rigorously
justify a proposed approximation procedure. However, typically such results fail to explain …