不确定性理论框架下的贝叶斯推理

3区计算机科学 Q1 Computer Science

Journal of Ambient Intelligence and Humanized Computing Pub Date : 2024-04-07 DOI:10.1007/s12652-024-04785-z

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引用次数: 0

摘要

摘要贝叶斯推理是现代统计学的重要课题之一。在贝叶斯统计中，被视为某种随机变量的参数的信息将由后验分布的信息更新。换句话说，贝叶斯统计中的所有推断都是基于更新的后验信息，这已被证明是一种非常强大的技术。本文以 Lio 和 Kang 于 2022 年提出的不确定贝叶斯规则为基础，研究不确定理论框架下的贝叶斯推断。更准确地说，本文探讨了不确定理论下贝叶斯统计中的点估计、可信区间和假设检验等问题，并给出了我们的方法在智商测试问题中的一个应用。

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Bayesian inference in the framework of uncertainty theory

Abstract

Bayesian inference is one of the important topics in modern statistics. The information of the parameter in Bayesian statistics which is regarded as some random variable will be updated by that of the posterior distribution. In other words, all the inferences in Bayesian statistics are based on the updated posterior information, which has been proven to be a very powerful technique. In this paper, we study the Bayesian inference in the framework of uncertainty theory based on the uncertain Bayesian rule developed by Lio and Kang in 2022. To be more precise, issues on the point estimation, credible intervals and hypothesis testing in Bayesian statistics under uncertain theory are explored, and one application of our method in an IQ test problem is also given in this paper.

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来源期刊

Journal of Ambient Intelligence and Humanized Computing COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCEC-COMPUTER SCIENCE, INFORMATION SYSTEMS

CiteScore

9.60

自引率

0.00%

发文量

854

期刊介绍： The purpose of JAIHC is to provide a high profile, leading edge forum for academics, industrial professionals, educators and policy makers involved in the field to contribute, to disseminate the most innovative researches and developments of all aspects of ambient intelligence and humanized computing, such as intelligent/smart objects, environments/spaces, and systems. The journal discusses various technical, safety, personal, social, physical, political, artistic and economic issues. The research topics covered by the journal are (but not limited to): Pervasive/Ubiquitous Computing and Applications Cognitive wireless sensor network Embedded Systems and Software Mobile Computing and Wireless Communications Next Generation Multimedia Systems Security, Privacy and Trust Service and Semantic Computing Advanced Networking Architectures Dependable, Reliable and Autonomic Computing Embedded Smart Agents Context awareness, social sensing and inference Multi modal interaction design Ergonomics and product prototyping Intelligent and self-organizing transportation networks & services Healthcare Systems Virtual Humans & Virtual Worlds Wearables sensors and actuators