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- Zipf–Mandelbrot_law abstract "In probability theory and statistics, the Zipf–Mandelbrot law is a discrete probability distribution. Also known as the Pareto-Zipf law, it is a power-law distribution on ranked data, named after the linguist George Kingsley Zipf who suggested a simpler distribution called Zipf's law, and the mathematician Benoît Mandelbrot, who subsequently generalized it.The probability mass function is given by:where is given by:which may be thought of as a generalization of a harmonic number. In the formula, k is the rank of the data, and q and s are parameters of the distribution. In the limit as approaches infinity, this becomes the Hurwitz zeta function . For finite and the Zipf–Mandelbrot law becomes Zipf's law. For infinite and it becomes a Zeta distribution.".
- Zipf–Mandelbrot_law wikiPageID "390113".
- Zipf–Mandelbrot_law wikiPageRevisionID "585386530".
- Zipf–Mandelbrot_law name "Zipf–Mandelbrot".
- Zipf–Mandelbrot_law type "mass".
- Zipf–Mandelbrot_law subject Category:Computational_linguistics.
- Zipf–Mandelbrot_law subject Category:Discrete_distributions.
- Zipf–Mandelbrot_law subject Category:Power_laws.
- Zipf–Mandelbrot_law subject Category:Probability_distributions.
- Zipf–Mandelbrot_law subject Category:Quantitative_linguistics.
- Zipf–Mandelbrot_law comment "In probability theory and statistics, the Zipf–Mandelbrot law is a discrete probability distribution. Also known as the Pareto-Zipf law, it is a power-law distribution on ranked data, named after the linguist George Kingsley Zipf who suggested a simpler distribution called Zipf's law, and the mathematician Benoît Mandelbrot, who subsequently generalized it.The probability mass function is given by:where is given by:which may be thought of as a generalization of a harmonic number.".
- Zipf–Mandelbrot_law label "Zipf–Mandelbrot law".
- Zipf–Mandelbrot_law sameAs Zipf%E2%80%93Mandelbrot_law.
- Zipf–Mandelbrot_law sameAs Q3351025.
- Zipf–Mandelbrot_law sameAs Q3351025.
- Zipf–Mandelbrot_law wasDerivedFrom Zipf–Mandelbrot_law?oldid=585386530.