168 citations · 192 across the 5 of their papers we have counts for
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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…
On Existence Theorems for Conditional Inferential Models
Rongrong Zhang, Michael Y. Zhu, Chuanhai Liu
The framework of Inferential Models (IMs) has recently been developed in search of what is referred to as the holy grail of statistical theory, that is, prior-free probabilistic in…
Frameworks for prior-free posterior probabilistic inference
Chuanhai Liu, Ryan Martin
The development of statistical methods for valid and efficient probabilistic inference without prior distributions has a long history. Fisher's fiducial inference is perhaps the mo…
Inferential models: A framework for prior-free posterior probabilistic inference
Ryan Martin, Chuanhai Liu
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 B…