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  Statistical Laws in Linguistics

Altmann, E. G., & Gerlach, M. (2016). Statistical Laws in Linguistics. In M. Degli Esposti, E. G. Altmann, & F. Pachet (Eds.), Creativity and Universitality in Language (pp. 7-26). Cham: Springer. doi:10.1007/978-3-319-24403-7_2.

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 Urheber:
Altmann, Eduardo G.1, Autor           
Gerlach, Martin1, Autor           
Affiliations:
1Max Planck Institute for the Physics of Complex Systems, Max Planck Society, ou_2117288              

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 MPIPKS: Stochastic processes
 Zusammenfassung: Zipf's law is just one out of many universal laws proposed to describe statistical regularities in language. Here we review and critically discuss how these laws can be statistically interpreted, fitted, and tested (falsified). The modern availability of large databases of written text allows for tests with an unprecedent statistical accuracy and also for a characterization of the fluctuations around the typical behavior. We find that fluctuations are usually much larger than expected based on simplifying statistical assumptions (e.g., independence and lack of correlations between observations). These simplifications appear also in usual statistical tests so that the large fluctuations can be erroneously interpreted as a falsification of the law. Instead, here we argue that linguistic laws are only meaningful (falsifiable) if accompanied by a model for which the fluctuations can be computed (e.g., a generative model of the text). The large fluctuations we report show that the constraints imposed by linguistic laws on the creativity process of text generation are not as tight as one could expect.

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 Datum: 20182016
 Publikationsstatus: Erschienen
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 Ort, Verlag, Ausgabe: -
 Inhaltsverzeichnis: -
 Art der Begutachtung: -
 Identifikatoren: DOI: 10.1007/978-3-319-24403-7_2
 Art des Abschluß: -

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Titel: Creativity and Universitality in Language
Genre der Quelle: Buch
 Urheber:
Degli Esposti, Mirko1, Herausgeber
Altmann, Eduardo G.2, Herausgeber           
Pachet, François1, Herausgeber
Affiliations:
1 External Organizations, ou_persistent22            
2 Max Planck Institute for the Physics of Complex Systems, Max Planck Society, ou_2117288            
Ort, Verlag, Ausgabe: Cham : Springer
Seiten: - Band / Heft: - Artikelnummer: - Start- / Endseite: 7 - 26 Identifikator: ISBN: 978-3-319-24401-3
ISBN: 978-3-319-24403-7
DOI: 10.1007/978-3-319-24403-7

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Titel: Lecture Notes in Morphogenesis
Genre der Quelle: Reihe
 Urheber:
Affiliations:
Ort, Verlag, Ausgabe: Cham : Springer
Seiten: - Band / Heft: - Artikelnummer: - Start- / Endseite: - Identifikator: ISSN: 2195-1934
ISSN: 2195-1942