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math.ST2026
Revisiting the Behrens-Fisher Problem: Validity-First Optimality
Xiao Wang, Chuanhai Liu
The Behrens--Fisher problem concerns inference on the difference of two normal means when both variances are unknown and unequal. It is a classical example in which nuisance parame…
math.ST2023
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…
math.ST2023★ 1 cited
Partial Conditioning for Inference of Many-Normal-Means with Hölder Constraints
Jiasen Yang, Xiao Wang, Chuanhai Liu
Inferential models have been proposed for valid and efficient prior-free probabilistic inference. As it gradually gained popularity, this theory is subject to further developments…