Some Properties of Zipf’s Law and Applications

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-02-23 DOI:10.3390/axioms13030146

Speranta Cecilia Bolea, M. Pirnau, S. Bejinariu, V. Apopei, Daniela Gifu, H. Teodorescu

引用次数: 0

Abstract

The article extends the theoretical and applicative analysis of Zipf’s law. We are concerned with a set of properties of Zipf’s law that derive directly from the power law expression and from the discrete nature of the objects to which the law is applied, when the objects are words, lemmas, and the like. We also search for variations of Zipf’s law that can help explain the noisy results empirically reported in the literature and the departures of the empirically obtained nonlinear graph from the theoretical linear one, with the variants analyzed differing from Mandelbrot and lognormal distributions. A problem of interest that we deal with is that of mixtures of populations obeying Zipf’s law. The last problem has relevance in the analysis of texts with words with various etymologies. Computational aspects are also addressed.

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齐普夫定律的一些性质及其应用

本文扩展了齐普夫定律的理论和应用分析。我们关注的是齐普夫定律的一系列特性，这些特性直接来源于幂律表达式和适用该定律的对象的离散性（当对象为单词、词性等）。我们还在寻找齐普夫定律的变体，这些变体有助于解释文献中实证报告的噪声结果，以及实证得到的非线性图形与理论线性图形之间的偏差，所分析的变体不同于曼德尔布罗特分布和对数正态分布。我们感兴趣的一个问题是符合齐普夫定律的种群混合物。最后一个问题与分析包含各种词源的文本有关。此外，我们还讨论了计算方面的问题。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.