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| In [[probability]] and [[statistics]], the '''parabolic fractal distribution''' is a type of [[discrete probability distribution]] in which the logarithm of the frequency or size of entities in a population is a [[quadratic polynomial]] of the logarithm of the rank. This can markedly improve the fit over a simple power-law relationship (see references below).
| | 36 years old Fitter-Welder Alfonzo from Prince Albert, has interests for instance handwriting analysis, property developers in singapore and camping. Recollects what an attractive spot it was having traveled to Gusuku Sites and Related Properties of the Kingdom of Ryukyu.<br><br>my homepage; [http://forum.perfectgame.co.id/entry.php?50246-Condominium-New-Geylang forum.perfectgame.co.id] |
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| In a number of applications, there is a so-called [[King effect]] where the highest-ranked item has a significantly greater frequency or size than the model predicts on the basis of the other items.
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| ==Definition==
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| The [[probability mass function]] is given, as a function of the rank ''n'', by
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| :<math> f(n;b,c) \propto n^{-b} \exp(-c(\log n)^2) ,</math>
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| where ''b'' and ''c'' are parameters of the distribution.
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| ==See also==
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| * [[Zipf's law]]
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| ==References==
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| *Laherrère J, Deheuvels P (1996) [http://www.hubbertpeak.com/laherrere/fractal.htm "Distributions de type 'fractal parabolique' dans la nature"] (French, with English summary: "Parabolic fractal" distributions in nature), (http://www.hubbertpeak.com/laherrere/fractal.htm) ''[[Comptes rendus de l'Académie des sciences]], Série II a: Sciences de la Terre et des Planétes'', 322, (7), 535–541
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| *{{cite doi|10.1016/S1674-5264(09)60017-X}}
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| {{ProbDistributions|discrete-infinite}}
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| {{DEFAULTSORT:Parabolic Fractal Distribution}}
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| [[Category:Discrete distributions]]
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| [[Category:Probability distributions]]
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| {{Probability-stub}}
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Latest revision as of 15:49, 31 December 2014
36 years old Fitter-Welder Alfonzo from Prince Albert, has interests for instance handwriting analysis, property developers in singapore and camping. Recollects what an attractive spot it was having traveled to Gusuku Sites and Related Properties of the Kingdom of Ryukyu.
my homepage; forum.perfectgame.co.id