Zobrazeno 1 - 10
of 227
pro vyhledávání: '"Liu, Chuanhai"'
While widely used as a general method for uncertainty quantification, the bootstrap method encounters difficulties that raise concerns about its validity in practical applications. This paper introduces a new resampling-based method, termed $\textit{
Externí odkaz:
http://arxiv.org/abs/2408.16763
Autor:
Liu, Chuanhai, Martin, Ryan
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 accepted in the contemporary era as two dominant schools of thought, it
Externí odkaz:
http://arxiv.org/abs/2301.05257
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 inference. Its method of Conditional IMs (CIMs) is a critical component
Externí odkaz:
http://arxiv.org/abs/2301.05135
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 for practically challenging problems. This paper considers the many-no
Externí odkaz:
http://arxiv.org/abs/2301.04512
Autor:
Liu, Chuanhai
It is realized that existing powerful tests of goodness-of-fit are all based on sorted uniforms and, consequently, can suffer from the confounded effect of different locations and various signal frequencies in the deviations of the distributions unde
Externí odkaz:
http://arxiv.org/abs/2209.08150
Autor:
Liu, Chuanhai
This paper takes a look at omnibus tests of goodness of fit in the context of reweighted Anderson-Darling tests and makes threefold contributions. The first contribution is to provide a geometric understanding. It is argued that the test statistic wi
Externí odkaz:
http://arxiv.org/abs/2209.08050
Autor:
Liu, Chuanhai
Inferring the means in the multivariate normal model $X \sim N_n(\theta, I)$ with unknown mean vector $\theta=(\theta_1,...,\theta_n)' \in \mathbb{R}^n$ and observed data $X=(X_1,...,X_n)'\in {\mathbb R}^n$ is a challenging task, known as the problem
Externí odkaz:
http://arxiv.org/abs/2207.05190
Autor:
Jiang, Yiran, Liu, Chuanhai
From a model-building perspective, we propose a paradigm shift for fitting over-parameterized models. Philosophically, the mindset is to fit models to future observations rather than to the observed sample. Technically, given an imputation method to
Externí odkaz:
http://arxiv.org/abs/2206.01824
Autor:
Liu, Chuanhai, Martin, Ryan
The inferential model (IM) framework produces data-dependent, non-additive degrees of belief about the unknown parameter that are provably valid. The validity property guarantees, among other things, that inference procedures derived from the IM cont
Externí odkaz:
http://arxiv.org/abs/2008.06874
Autor:
Li, Yuanji, Sun, Pingchang, Zhang, Qiang, Liu, Zhaojun, Zhang, Baoyong, Liu, Chuanhai, Luan, Zhisheng, Wang, Junxian
Publikováno v:
In Ore Geology Reviews October 2023 161