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Irmay, S (1997)

The relationship between Zipf's law and the distribution of first digits

Journal of Applied Statistics 24(4), pp. 383-393.

ISSN/ISBN: 0266-4763 DOI: 10.1080/02664769723594



Abstract: Zipf ís experimental law states that, for a given large piece of text, the product of the relative frequency of a word and its order in descending frequency order is a constant, shown to be equal to 1 divided by the natural logarithm of the number of different words. It is shown to be approximately equal to Benfordí s logarithmic distribution of first significant digits in tables of numbers. Eleven samples allow comparison of observed and theoretical frequencies.


Bibtex:
@article{, title={The relationship between Zipf's law and the distribution of first digits}, author={Irmay, Shragga}, journal={Journal of Applied Statistics}, volume={24}, number={4}, pages={383--394}, year={1997}, publisher={Taylor \& Francis}, ISSN={0266-4763}, DOI={10.1080/02664769723594}, }


Reference Type: Journal Article

Subject Area(s): Applied Mathematics