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Bias in Zipf’s law estimators [PDF]
Scientific Reports, 2021 The prevailing maximum likelihood estimators for inferring power law models from rank-frequency data are biased. The source of this bias is an inappropriate likelihood function.
Charlie Pilgrim, Thomas T Hills
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PLoS ONE, 2017 In spite of decades of theorizing, the origins of Zipf's law remain elusive. I propose that a Zipfian distribution straightforwardly follows from the interaction of syntax (word classes differing in class size) and semantics (words having to be ...
Sander Lestrade
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Zipf's Law Arises Naturally When There Are Underlying, Unobserved Variables. [PDF]
PLoS Computational Biology, 2016 Zipf's law, which states that the probability of an observation is inversely proportional to its rank, has been observed in many domains. While there are models that explain Zipf's law in each of them, those explanations are typically domain specific ...
Laurence Aitchison +2 more
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Large-Scale Analysis of Zipf's Law in English Texts. [PDF]
PLoS ONE, 2016 Despite being a paradigm of quantitative linguistics, Zipf's law for words suffers from three main problems: its formulation is ambiguous, its validity has not been tested rigorously from a statistical point of view, and it has not been confronted to a ...
Isabel Moreno-Sánchez +2 more
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Zipf’s Law of Vasovagal Heart Rate Variability Sequences [PDF]
Entropy, 2020 Cardiovascular self-organized criticality (SOC) has recently been demonstrated by studying vasovagal sequences. These sequences combine bradycardia and a decrease in blood pressure.
Jacques-Olivier Fortrat
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Do bats’ social vocalizations conform to Zipf’s law and the Menzerath-Altmann law? [PDF]
iScienceSummary: The study of vocal communication in non-human animals can uncover the roots of human languages. Recent studies of language have focused on two linguistic laws: Zipf’s law and the Menzerath-Altmann law. However, whether bats’ social vocalizations
Chunmian Zhang +8 more
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Beyond Zipf's Law: The Lavalette Rank Function and Its Properties. [PDF]
PLoS ONE, 2016 Although Zipf's law is widespread in natural and social data, one often encounters situations where one or both ends of the ranked data deviate from the power-law function.
Oscar Fontanelli +4 more
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Zipf's Law for Word Frequencies: Word Forms versus Lemmas in Long Texts. [PDF]
PLoS ONE, 2015 Zipf's law is a fundamental paradigm in the statistics of written and spoken natural language as well as in other communication systems. We raise the question of the elementary units for which Zipf's law should hold in the most natural way, studying its ...
Álvaro Corral +2 more
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Zipf's Law: Balancing Signal Usage Cost and Communication Efficiency. [PDF]
PLoS ONE, 2015 We propose a model that explains the reliable emergence of power laws (e.g., Zipf's law) during the development of different human languages. The model incorporates the principle of least effort in communications, minimizing a combination of the ...
Christoph Salge +3 more
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Zipf's law in China's local government work reports: A 21-year study using natural language processing and regression analysis. [PDF]
PLoS ONEThe examination and application of Zipf's law is a significant topic in quantitative linguistics. This study presents an in-depth empirical investigation of this law in 651 Chinese provincial government work reports (2003-2023).
Yanfang Li
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