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- Pareto_index abstract "In economics the Pareto index, named after the Italian economist and sociologist Vilfredo Pareto, is a measure of the breadth of income or wealth distribution. It is one of the parameters specifying a Pareto distribution and embodies the Pareto principle. As applied to income, the Pareto principle is sometimes stated in popular expositions by saying 20% of the population has 80% of the income. In fact, Pareto's data on British income taxes in his Cours d'économie politique indicates that about 20% of the population had about 80% of the income.One of the simplest characterizations of the Pareto distribution, when used to model the distribution of incomes, says that the proportion of the population whose income exceeds any positive number x > xm iswhere xm is a positive number, the minimum of the support of this probability distribution (the subscript m stands for minimum). The Pareto index is the parameter α. Since a proportion must be between 0 and 1, inclusive, the index α must be positive, but in order for the total income of the whole population to be finite, α must also be greater than 1. The larger the Pareto index, the smaller the proportion of very high-income people. (The 80-20 rule holds precisely when α = log(5)/log(4) ≈ 1.16 whereas the 70-30 result corresponds to α = log(0.3)/log(3/7) ≈ 1.42.)Mathematically, the formula above entails that all incomes are at least the lower bound xm, which is positive. At this income the probability density suddenly jumps up from zero and then starts decreasing, which is clearly unrealistic. Economists therefore sometimes state that the Pareto law as stated here applies only to the upper tail of the distribution.".
- Pareto_index wikiPageExternalLink 0011373.
- Pareto_index wikiPageExternalLink 0108482.
- Pareto_index wikiPageExternalLink 0202388.
- Pareto_index wikiPageExternalLink term2412.htm.
- Pareto_index wikiPageExternalLink WP172_10.pdf.
- Pareto_index wikiPageID "23802".
- Pareto_index wikiPageRevisionID "568799333".
- Pareto_index hasPhotoCollection Pareto_index.
- Pareto_index subject Category:Index_numbers.
- Pareto_index subject Category:Socioeconomics.
- Pareto_index subject Category:Summary_statistics.
- Pareto_index type Abstraction100002137.
- Pareto_index type Communication100033020.
- Pareto_index type Fact106636259.
- Pareto_index type Index106639674.
- Pareto_index type IndexNumbers.
- Pareto_index type Information106634376.
- Pareto_index type Message106598915.
- Pareto_index comment "In economics the Pareto index, named after the Italian economist and sociologist Vilfredo Pareto, is a measure of the breadth of income or wealth distribution. It is one of the parameters specifying a Pareto distribution and embodies the Pareto principle. As applied to income, the Pareto principle is sometimes stated in popular expositions by saying 20% of the population has 80% of the income.".
- Pareto_index label "Indice de Pareto".
- Pareto_index label "Pareto index".
- Pareto_index label "Índice de Pareto".
- Pareto_index sameAs Índice_de_Pareto.
- Pareto_index sameAs Indice_de_Pareto.
- Pareto_index sameAs m.05ydk.
- Pareto_index sameAs Q3150401.
- Pareto_index sameAs Q3150401.
- Pareto_index sameAs Pareto_index.
- Pareto_index wasDerivedFrom Pareto_index?oldid=568799333.
- Pareto_index isPrimaryTopicOf Pareto_index.