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 …

Hypothesis testing of C pk is an essential part for decision making on process capability. The
difficulty to test the hypothesis of C pk is the complexity of the natural estimator C ̂ pk …

We present a Gibbs sampler for the Dempster–Shafer (DS) approach to statistical inference
for categorical distributions. The DS framework extends the Bayesian approach, allows in …

Repeatedly using items in high-stake testing programs provides a chance for test takers to
have knowledge of particular items in advance of test administrations. A predictive checking …

Fiducial inference was introduced in the first half of the 20th century by RA Fisher as a
means to get a posterior-like distribution for a parameter without having to arbitrarily define a …

In most item response theory applications, model parameters need to be first calibrated from
sample data. Latent variable (LV) scores calculated using estimated parameters are thus …

Quality fraud seriously damages the right-to-known of customers. Therefore, it is necessary
for customers to recheck the process quality level declared by suppliers, which is often …

The concept of fiducial inference was introduced by RA Fisher in the 1930s to address the
perceived limitations of Bayesian inference, particularly the need for subjective prior …

The uncertainty arising from item parameter estimation is often not negligible and must be
accounted for when calculating latent variable (LV) scores in item response theory (IRT). It is …

Censored data, where the event time is partially observed, are challenging for survival
probability estimation. In this article, we introduce a novel nonparametric fiducial approach …