Analysis of Zipf's law: An index approach
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A rigorous analysis of Zipf's law is made using an index for the sequence of observed values of the variables in a Zipf-type relationship. Three important properties relating rank, count, and frequency are identified. Using this approach, the shape of Zipf-type curves can be described in terms of three distinct regions and two parameters of the Mandelbrot-Zipf law. This result has considerable practical significance, since it provides rigorous foundations for the application of Zipf's law.
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论文评审过程:Received 27 July 1986, Revised 7 November 1986, Available online 13 July 2002.
论文官网地址:https://doi.org/10.1016/0306-4573(87)90002-1