基于广义凭证集的信息更新。第3部分：统计推断的应用

IF 2.7 1区数学 Q2 COMPUTER SCIENCE, THEORY & METHODS

Fuzzy Sets and Systems Pub Date : 2025-06-02 DOI:10.1016/j.fss.2025.109483

Andrey G. Bronevich , Igor N. Rozenberg

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引用次数: 0

摘要

本文的第一部分和第二部分给出了用广义凭证集描述信息更新的理论基础在第三部分中，我们将展示如何基于广义可信集估计概率分布的参数，并将所提出的方法与统计学中已知的标准方法（如最大似然方法和基于置信区间的估计）进行比较。我们还考虑了基于不精确数据的估计，并说明了广义可信集描述不同统计推断方案的强大可能性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Updating information based on generalized credal sets. Part 3: Applications to statistical inference

The first and the second parts of the paper give us the theoretical foundations of updating information described by generalized credal sets.¹ In the third part, we will show how we can estimate parameters of probability distributions based on generalized credal sets and compare the proposed approach with the standard approaches known in statistics like the maximum likelihood method and the estimation based on confidence intervals. We also consider the estimation based on imprecise data and illustrate the powerful possibilities of generalized credal sets for describing different schemes of statistical inference.

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来源期刊

Fuzzy Sets and Systems 数学-计算机：理论方法

CiteScore

6.50

自引率

17.90%

发文量

321

审稿时长

6.1 months

期刊介绍： Since its launching in 1978, the journal Fuzzy Sets and Systems has been devoted to the international advancement of the theory and application of fuzzy sets and systems. The theory of fuzzy sets now encompasses a well organized corpus of basic notions including (and not restricted to) aggregation operations, a generalized theory of relations, specific measures of information content, a calculus of fuzzy numbers. Fuzzy sets are also the cornerstone of a non-additive uncertainty theory, namely possibility theory, and of a versatile tool for both linguistic and numerical modeling: fuzzy rule-based systems. Numerous works now combine fuzzy concepts with other scientific disciplines as well as modern technologies. In mathematics fuzzy sets have triggered new research topics in connection with category theory, topology, algebra, analysis. Fuzzy sets are also part of a recent trend in the study of generalized measures and integrals, and are combined with statistical methods. Furthermore, fuzzy sets have strong logical underpinnings in the tradition of many-valued logics.