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 …
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 …
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 …
Inferential models have recently gained in popularity for valid uncertainty quantification. In this paper, we investigate inferential models by exploring relationships between inferential …
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 …
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 …
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 …
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 …