PARETO DISTRIBUTION

  

Copyright © Philip M. Parker, INSEAD. Terms of Use.

PARETO DISTRIBUTION

Specialty Definition: PARETO DISTRIBUTION

DomainDefinition

Mathematics

The empirical relationship describing the number of persons y whose income is x. The expression is now used to denote any frequency distribution of this form, whether related to incomes or not. Source: European Union. (references)

Source: compiled by the editor from various references; see credits.

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Specialty Definition: Pareto distribution

(From Wikipedia, the free Encyclopedia)

The Pareto distribution named after the Italian economist Vilfredo Pareto is a power law distribution found in a large number of real-world situations.

If X is a random variable with a Pareto distribution, then the probability distribution of X is characterized by the statement

where x is any number greater than xmin, which is the (necessarily positive) minimum possible value of X, and k is a positive parameter. The family of Pareto distributions is parameterized by two quantities, xmin and k.

Pareto distributions are continuous probability distributions. "Zipf's law", also sometimes called the "zeta distribution", may be thought of as a discrete counterpart of the Pareto distribution. The expected value of a random variable following a Pareto distribution is xmin k/(k-1) (if k=1, the expected value doesn't exist) and its standard deviation is xmin / (k-1) √(k/(k-2)) (for k=1 or 2 the standard deviation doesn't exist).

Examples of Pareto distributions:

If the value of k is chosen judiciously then the Pareto distribution obeys the "80-20 rule.

See also:

External links:

Source: adapted by the editor from Wikipedia, the free encyclopedia under a copyleft GNU Free Documentation License (GFDL) from the article "Pareto distribution."

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Crosswords: PARETO DISTRIBUTION

Specialty definitions using "PARETO DISTRIBUTION": bivariate Pareto distributionLévy-Pareto distribution, Lomax distributionmultivariate Pareto distributionPareto distribution of the second kind. (references)

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Expressions: PARETO DISTRIBUTION

Expressions using "PARETO DISTRIBUTION": bivariate Pareto distribution discrete Pareto distribution multivariate Pareto distribution Pareto distribution of the second kind. Additional references.

Source: compiled by the editor from various references; see credits.

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Frequency of Internet Keywords: PARETO DISTRIBUTION

The following statistics estimate the number of searches per day across the major English-language search engines as identified by various trade publications. Hyperlinks lead to commercial use of the expression at Amazon.com.
 
ExpressionFrequency
per Day

pareto distribution

9
Source: compiled by the editor from various references; see credits.

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Modern Translation: PARETO DISTRIBUTION

Language Translations for "PARETO DISTRIBUTION"; alternative meanings/domain in parentheses.

Danish

  

todimensional Pareto-fordeling (bivariate Pareto distribution), Lomax fordeling (Lomax distribution, Pareto distribution of the second kind). (various references)

   

Dutch

  

Lomax-verdeling (Lomax distribution, Pareto distribution of the second kind), bivariate Pareto-verdeling (bivariate Pareto distribution). (various references)

   

Finnish

  

Lomax-jakauma (Lomax distribution, Pareto distribution of the second kind), kaksimuuttujainen Pareto-jakauma (bivariate Pareto distribution). (various references)

   

German

  

zweidimensionale Pareto-Verteilung (bivariate Pareto distribution), Lormax-Verteilung (Lomax distribution, Pareto distribution of the second kind). (various references)

   

Greek 

  

κατανομή Lomax (Lomax distribution, Pareto distribution of the second kind), διμεταβλητή κατανομή Pareto (bivariate Pareto distribution). (various references)

   

Italian

  

legge di Pareto bivariata (bivariate Pareto distribution), distribuzione di Lomax (Lomax distribution, Pareto distribution of the second kind). (various references)

   

Pig Latin

  

aretopay istributionday

   

Portuguese

  

distribuição de Pareto bidimensional (bivariate Pareto distribution), distribuição de Lomax (Lomax distribution, Pareto distribution of the second kind). (various references)

   

Spanish

  

distribución de Pareto bivariante (bivariate Pareto distribution), distribución de Lomax (Lomax distribution, Pareto distribution of the second kind). (various references)

   

Swedish

  

Lomax fördelning (Lomax distribution, Pareto distribution of the second kind), bivariat Paretofördelning (bivariate Pareto distribution). (various references)

Source: compiled by the editor from various translation references.

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Anagrams: PARETO DISTRIBUTION

Scrabble® Enable2K-Verified Anagrams

Words within the letters "a-b-d-e-i-i-i-n-o-o-p-r-r-s-t-t-t-u"

-4 letters: reattributions, redistribution, repudiationist.

-5 letters: perturbations, reattribution.

Source: compiled by the editor from various references; see credits.

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INDEX

1. Crosswords
2. Expressions
3. Expressions: Internet
4. Translations: Modern
5. Anagrams
6. Bibliography


  

Copyright © Philip M. Parker, INSEAD. Terms of Use.