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 pareto distribution - Definition 

Pareto distribution (2495 bytes)
1: ...nown, mostly outside economics, as the ''Bradford distribution''.
3: ...ith a Pareto distribution, then the [[probability distribution]] of ''X'' is characterized by the statement
7: ...'' is a positive parameter. The family of Pareto distributions is parameterized by two quantities, ''x''<sub>mi...
11: Pareto distributions are continuous probability distributions.
12: ...lue]] of a [[random variable]] following a Pareto distribution is

Pareto principle (2216 bytes)
1: The misnamed '''Pareto principle''' (also known as the ''80-20 Rule'', t...
3: ... was named after the Italian economist [[Vilfredo Pareto]], who observed that 80% of property in Italy was...
9: ... special case of the wider phenomenon of [[Pareto distribution]]s.
11: ...ncy]], which really was introduced by [[Vilfredo Pareto]].
21: ...hw.ac.uk/~des/HWM00-26.pdf Wealth Condensation in Pareto Macro-Economies]

Vilfredo Pareto (1659 bytes)
1: ...viduals' choices. He introduced the concept of [[Pareto efficiency]] and helped develop the field of [[mi...
3: ... generalised further to the concept of a [[Pareto distribution]].
5: ... index]] is a measure of the inequality of income distribution.
7: Pareto's social policies were put on paper in his work, ...
10: * http://cepa.newschool.edu/het/profiles/pareto.htm

Pareto index (215 bytes)
1: ...to index''' is a measure of the breadth of income distribution.
3: ... the Italian economist and sociologist [[Vilfredo Pareto]].

Pareto efficiency (2936 bytes)
1: ...urce]]s is '''Pareto efficient''' when no further Pareto improvements can be made.
3: ...s studies of [[economic efficiency]] and [[income distribution]].
5: ...ficient outcomes are to be avoided, and therefore Pareto efficiency is an important criterion for evaluati...
7: ...ions, a system of [[free market]]s will lead to a Pareto efficient outcome. This was first demonstrated m...
9: ...benefit of one person. This will, in general, be Pareto optimal because it will be impossible to raise th...

Pareto interpolation (966 bytes)
1: ... that the data fits a curve known as the [[Pareto distribution]].
31: :''P''<sub>''a''</sub> = proportion of the distribution that lies below the lower limit
33: :''P''<sub>''b''</sub> = proportion of the distribution that lies below the upper limit

Pareto analysis (769 bytes)
1: ...produce significant overall effect. It uses the [[Pareto principle]] - the idea that by doing 20% of work ...
3: Pareto analysis is a formal technique useful where many ...

Distribution (12906 bytes)
1: ...]. This article is '''not''' about [[probability distribution]]s.''
4: ...ns are distributions, such as the [[Dirac delta]] distribution.
6: ...hwartz]], who developed a comprehensive theory of distributions.
8: ...ple talk of a "[[probability theory|probability]] distribution" when they just mean "probability [[measure (math...
12: ...nctions" is therefore used as the definition of a distribution.

F-distribution (2781 bytes)
1: ...s ''F'' distribution''' or the '''Fisher-Snedecor distribution''' (after [[Ronald Fisher]] and [[George W. Snede...
3: ...ribution arises as the ratio of two [[chi-squared distribution|chi-squared]] variates:
9: ...1''</sub> and ''U''<sub>2</sub> have [[chi-square distribution]]s with ''d''<sub>''1''</sub> and ''d''<sub>2</su...
13: ... ''F''-distribution arises frequently as the null distribution of a test statistic, especially in [[likelihood-r...
21: The [[cumulative distribution function]] is

Multinomial distribution (1979 bytes)
1: ...pendent trials. In effect, it is the probability distribution of a random vector
19: ...of the ''k'' components separately has a binomial distribution with parameters ''n'' and ''p''<sub>''i''</sub>, ...
35: The [[Dirichlet distribution]] is the [[conjugate prior]] of the multinomial i...
39: [[Category:Probability distributions]]

Electricity distribution (7037 bytes)
1: ...d [[transformers]], low-voltage (less than 1000V) distribution wiring and sometimes [[electricity meter]]s.
7: ...n systems to interconnect generating stations and distribution networks.
10: ... to the grounded neutral. Some city and suburban distribution systems continue to use this range of voltages, b...
12: ...then 11&nbsp;kV (phase to phase), the most common distribution voltage.
14: North American and European power distribution systems also differ in that North American system...

Fallacy of distribution (814 bytes)
1: A '''fallacy of distribution''' is a [[logical fallacy]] occurring when an arg...

Frequency distribution (1514 bytes)
1: ...greement and 5 strong disagreement, the frequency distribution of their responses might look like:
29: ...of differences and similarities between frequency distributions. This assessment involves measures of [[Measures...
31: ...the distribution is more peaked than the [[normal distribution]] it is said to be leptokurtic; if less peaked it...

Distribution (business) (1523 bytes)
1: ...uct management]], [[pricing]], and [[promotion]]. Distribution deals with [[Logistics | logistics]]: how to get ...
2: *What kind of distribution channel to use?
9: *Should distribution be exclusive, selective or extensive?
13: *Should electronic methods of distribution be used?
14: *Are there [[supply chain|physical distribution]] and logistical issues to deal with?

Distribution board (9219 bytes)
1: ...ionBoard.JPG|280px|right|Inside a typical British distribution board]]
3: ...xposed with the lid off. British <!--european?--> distribution boards by contrast generally have live parts encl...
96: ==Inside a UK distribution board==
98: ....JPG|200px|right]]Inside a typical 12-position UK distribution panel. The three incoming phase wires connect to ...
116: ...ial situation. The other problem with recessing a distribution board into a wall is that if the wall is solid a ...

Triangular distribution (1034 bytes)
1: ...ty theory]] and [[statistics]], the '''triangular distribution''' is a continuous
2: [[probability distribution]] with the [[probability density function]] defin...
7: ...'b'' (scale) and ''c'' (shape) are the triangular distribution parameters.
9: The [[cumulative distribution function]] is:
24: [[Category:Probability distributions]]

Gamma distribution (3086 bytes)
1: ...mma distribution''' is a continuous [[probability distribution]].
3: ==Specification of the gamma distribution==
7: ...ng|thumb|300px|Probability density plots of gamma distributions]]
9: The [[probability density function]] of the gamma distribution can be expressed in terms of the [[gamma function...
14: ...ta;'' > 0 is the [[scale parameter]] of the gamma distribution.

Beta distribution (1580 bytes)
1: ...eta distribution''' is a continuous [[probability distribution]] with the [[probability density function]] defin...
15: ...'a'' = 1 and ''b'' = 1, is the standard [[uniform distribution]].
30: [[Category:Probability distributions]]

Hypergeometric distribution (1846 bytes)
1: ...etric distribution''' is a discrete [[probability distribution]] that describes the number of successes in a seq...
3: ... in which ''D'' are defective. The hypergeometric distribution describes the probability that in a [[Sampling (s...
5: ...andom variable]] ''X'' follows the hypergeometric distribution with parameters ''N'', ''D'' and ''n'', then the ...
13: ...be approximated reasonably well with a [[binomial distribution]] with parameters ''n'' (number of trials) and ''...
22: [[Category:Probability distributions]]

Erlang distribution (1650 bytes)
1: ...he [[probability density function]] of the Erlang distribution is
5: ...ribution is thus that special case of the [[gamma distribution]] is which the number in the role here called ''n...
7: ...here are two commonly used versions of the Erlang distribution, depending on the traffic assumptions modelled:
9: * Erlang B distribution - Does not allow queuing of blocked calls
10: * Erlang C distribution - Allows Unlimited queuing of blocked calls until...

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This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "pareto distribution".