Power Laws and Other heavy-Tailed Distributions in Linguistic Typology

The paper investigates the quantitative distribution of language types across languages of the world. The studies are based on three large-scale typological data bases: The World Color Survey, the Automated Similarity Judgment Project data base, and the World Atlas of Language Structures. The main finding is that a surprisingly large and varied collection of linguistic typologies show power law behavior. The bulk of the paper deals with the statistical validation of these findings.

[1]  Michael Cysouw,et al.  On the Probability Distribution of Typological Frequencies , 2007, MOL.

[2]  David R. Anderson,et al.  Model Selection and Multimodel Inference , 2003 .

[3]  H. Sichel.  On a Distribution Law for Word Frequencies , 1975 .

[4]  R. Harald Baayen,et al.  Word Frequency Distributions , 2001 .

[5]  Elena Maslova.  Meta-typological distributions , 2008 .

[6]  David R. Anderson,et al.  Model selection and multimodel inference : a practical information-theoretic approach , 2003 .

[7]  P. Bak,et al.  A forest-fire model and some thoughts on turbulence , 1990 .

[8]  David Gil,et al.  The World Atlas of Language Structures , 2005 .

[9]  D. Sornette.  Critical Phenomena in Natural Sciences: Chaos, Fractals, Selforganization and Disorder: Concepts and Tools , 2000 .

[10]  Gerhard Jäger,et al.  Using Statistics for Cross-linguistic Semantics: A Quantitative Investigation of the Typology of Colour Naming Systems , 2012, J. Semant..

[11]  D. Champernowne.  A Model of Income Distribution , 1953 .

[12]  P. Kay,et al.  Color categories in thought and language: Color naming across languages , 1997 .

[13]  P. Kay.  The World Color Survey , 2011 .

[14]  M. Newman.  Power laws, Pareto distributions and Zipf's law , 2005 .

[15]  Tang,et al.  Self-Organized Criticality: An Explanation of 1/f Noise , 2011 .

[16]  Mark E. J. Newman,et al.  Power-Law Distributions in Empirical Data , 2007, SIAM Rev..

[17]  Søren Wichmann,et al.  On the power-law distribution of language family sizes , 2005, Journal of Linguistics.

[18]  P. Kay,et al.  Basic Color Terms: Their Universality and Evolution , 1973 .

[19]  S. Potter,et al.  Universals of Language , 1966 .