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Fitting Chinese syllable-to-character mapping spectrum by the beta rank function

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  • Li, Wentian

Abstract

We define the syllable-to-character mapping spectrum in Chinese as the normalized number of characters per syllable ranked from high to low. This spectrum provides a statistical characterization of the relationship between spoken and written Chinese. We have shown that two functions, the logarithmic function and the beta rank function, fit the syllable-to-character mapping spectrum well. The beta rank function is even better than the logarithmic function judged by two measures of data-fitting performance: the sum of square errors, and Akaike information criterion. We comment on why the beta rank function is a good fitting function for many range-limited ranking data, whereas for range-open data it may be out-performed by other functions, such as a power-law function in the case of Zipf’s law.

Suggested Citation

  • Li, Wentian, 2012. "Fitting Chinese syllable-to-character mapping spectrum by the beta rank function," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(4), pages 1515-1518.
    • Handle: RePEc:eee:phsmap:v:391:y:2012:i:4:p:1515-1518
    DOI: 10.1016/j.physa.2011.08.024
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