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 …

Posterior probabilistic statistical inference without priors is an important but so far elusive
goal. Fisher's fiducial inference, Dempster–Shafer theory of belief functions, and Bayesian …

Meta-analysis has been widely used to synthesize evidence from multiple studies for
common hypotheses or parameters of interest. However, it has not yet been fully developed …

The high-reliability lifetime estimation of the lifting lug is of significant importance, as it is the
most crucial component of the aerial bomb. This paper focuses on the high-reliability lifetime …

Statistics has made tremendous advances since the times of Fisher, Neyman, Jeffreys, and
others, but the fundamental and practically relevant questions about probability and …

While fiducial inference was widely considered a big blunder by RA Fisher, the goal he
initially set—'inferring the uncertainty of model parameters on the basis of observations' …

It is shown that the fiducial distribution in a group model, or more generally a quasigroup
model, determines the optimal equivariant frequentist inference procedures. The proof does …

Thailand is currently grappling with a severe problem of air pollution, especially from small
particulate matter (PM), which poses considerable threats to public health. The speed of the …

The inferential models (IM) framework provides prior-free, frequency-calibrated, and
posterior probabilistic inference. The key is the use of random sets to predict unobservable …

The inferential model (IM) framework provides valid prior-free probabilistic inference by
focusing on predicting unobserved auxiliary variables. But, efficient IM-based inference can …