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Topic: Pareto distribution

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Probability distribution

Degenerate distribution

Cauchy distribution

Poisson distribution

Normal distribution

Pareto interpolation

Vilfredo Pareto

Pareto index

Pareto principle

Poisson process

Pareto efficiency

Wealth condensation

Bose Einstein statistics

List of eponymous laws

Gini coefficient

	Zipf, Power-law, Pareto - a ranking tutorial
		Although the literature surrounding both the Zipf and Pareto distributions is vast, there are very few direct connections made between Zipf and Pareto, and when they exist, it is by way of a vague reference [1] or an overly complicated mathematical analysis[2,3].
		This is exactly the definition of the Pareto distribution, except the x and y axes are flipped.
		Whereas for Zipf, r is on the x-axis and n is on the y-axis, for Pareto, r is on the y-axis and n is on the x-axis.
	www.hpl.hp.com /research/idl/papers/ranking/ranking.html (1699 words)

	Vilfredo Pareto, Biography: The Concise Encyclopedia of Economics: Library of Economics and Liberty
		Pareto is best known for two concepts that are named after him.
		Although Pareto thought his law should be "provisionally accepted as universal," he thought that exceptions were possible, and as it turns out, many exceptions have been found.
		Pareto is also known for showing that the assumption that the utility of goods can actually be measured was not necessary for deriving any of the standard results in consumer theory.
	www.econlib.org /library/Enc/bios/Pareto.html (511 words)

	Pareto-Levy Stable Distributions
		For non-normal distribution ν has a value but it is not the same as the standard deviation, which for non-normal stable distributions is infinite.
		For a normal distribution α=2, β=0, ν is equal to the standard deviation and δ is equal to the mean.
		If the distribution is a fat-tailed distribution then that fact would account for the unexpected extreme changes in a variables, the sort of occurrences associated with catastrophes.
	www.sjsu.edu /faculty/watkins/stable.htm (509 words)

	The MathWorks - Demos - Fitting a Generalized Pareto distribution to tail data
		For unimodal distributions, such as the normal or Student's t, these regions are known as the "tails" of the distribution.
		One reason why a model might fit poorly in the tails is that by definition, there are fewer data in the tails on which to base a choice of model, and so models are often chosen based on their ability to fit data near the mode.
		One approach to distribution fitting that involves the GPD is to use a non-parametric fit (the empirical cumulative distribution function, for example) in regions where there are many observations, and to fit the GPD to the tail(s) of the data.
	www.mathworks.com /products/demos/statistics/gparetodemo.html (2285 words)

	Distribution Fitting
		To determine this underlying distribution, it is common to fit the observed distribution to a theoretical distribution by comparing the frequencies observed in the data to the expected frequencies of the theoretical distribution (i.e., a Chi-square goodness of fit test).
		The major distributions that have been proposed for modeling survival or failure times are the exponential (and linear exponential) distribution, the Weibull distribution of extreme events, and the Gompertz distribution.
		The beta distribution arises from a transformation of the F distribution and is typically used to model the distribution of order statistics.
	www.statsoft.com /textbook/stdisfit.html (1769 words)

	The Pareto Distribution
		The Pareto distribution is a skewed, heavy-tailed distribution that is sometimes used to model the distribution of incomes.
		As with many other distributions, the Pareto distribution is often generalized by adding a scale parameter.
		Suppose that the income of a certain population has the Pareto distribution with shape parameter 3 and scale parameter 1000.
	www.ds.unifi.it /VL/VL_EN/special/special12.html (350 words)

	Wealth Happens - Wealth Distribution and the Role of Networks - HBS Working Knowledge
		But when Pareto studied the numbers more closely, he discovered that they dwindled in a very special way toward the wealthy end of the curve: Each time you double the amount of wealth, the number of people falls by a constant factor.
		The important point is that the distribution (at the wealthy end, at least) follows a strikingly simple mathematical curve illustrating that a small fraction of people always owns a large fraction of the wealth.
		In a Pareto distribution, the factor by which the number of people declines as wealth increases remains constant in any particular country, but the factor itself is different in different countries.
	hbswk.hbs.edu /archive/2906.html (1804 words)

	Kids.Net.Au - Encyclopedia > Pareto distribution (Site not responding. Last check: )
		The Pareto distribution named after the Italian economist Vilfredo Pareto is a power law distribution found in a large number of real-world situations.
		"Zipf's law", also sometimes called the "zeta distribution", may be thought of as a discrete counterpart of the Pareto distribution.
		If the value of k is chosen judiciously then the Pareto distribution obeys the "80-20 rule".
	www.kids.net.au /encyclopedia-wiki/pa/Pareto_distribution (204 words)

	Pareto Distribution
		The Pareto distribution is a highly left skewed distribution defined in terms of the mode and a shape factor.
		The Pareto distribution has been proposed a model for the oil and gas discoveries in mature provinces where the minimum size is set by the economics of production.
		The Pareto distribution was originally developed to describe the distribution of income, the basis being that a high proportion of a population have low income, whilst only a few people have very high incomes.
	www.brighton-webs.co.uk /distributions/pareto.asp (393 words)

	Functions and CALL Routines : PDF (Site not responding. Last check: )
		The PDF function for the chi-squared distribution returns the probability density function of a chi-squared distribution, with df degrees of freedom and noncentrality parameter nc, which is evaluated at the value x.
		The PDF function for the F distribution returns the probability density function of an F distribution, with ndf numerator degrees of freedom, ddf denominator degrees of freedom, and noncentrality parameter nc, which is evaluated at the value x.
		The PDF function for the Pareto distribution returns the probability density function of a Pareto distribution, with shape parameter a and scale parameter k, which is evaluated at the value x.
	www.okstate.edu /sas/v7/sashtml/books/langref/z0270634.htm (1054 words)

	Pareto Principle (80-20 Rule) Complete Information
		The misnamed Pareto principle (also known as the 20-80 rule, the law of the vital few and the principle of factor sparsity) states that for many phenomena 80% of consequences stem from 20% of the causes.
		Vilfredo Pareto (born July 15, 1848 in France - died August 19, 1923 in Lausanne, Switzerland) made several important contributions to economics, sociology and moral philosophy, especially in the study of income distribution and in the analysis of individuals' choices.
		The value of the Pareto Principle for a manager is that it reminds you to focus on the 20 percent that matters.
	www.gassner.co.il /pareto (1784 words)

	Functions and CALL Routines : CDF
		The CDF function for the chi-squared distribution returns the probability that an observation from a chi-squared distribution, with df degrees of freedom and noncentrality parameter nc, is less than or equal to x.
		The CDF function for the F distribution returns the probability that an observation from an F distribution, with ndf numerator degrees of freedom, ddf denominator degrees of freedom, and noncentrality parameter nc, is less than or equal to x.
		The CDF function for the Pareto distribution returns the probability that an observation from a Pareto distribution, with shape parameter a and scale parameter k, is less than or equal to x.
	www.asu.edu /sas/sasdoc/sashtml/lgref/z0208980.htm (1101 words)

	Functions and CALL Routines : PDF
		The PDF function for the chi-squared distribution returns the probability density function of a chi-squared distribution, with df degrees of freedom and noncentrality parameter nc, which is evaluated at the value x.
		The PDF function for the F distribution returns the probability density function of an F distribution, with ndf numerator degrees of freedom, ddf denominator degrees of freedom, and noncentrality parameter nc, which is evaluated at the value x.
		The PDF function for the Pareto distribution returns the probability density function of a Pareto distribution, with shape parameter a and scale parameter k, which is evaluated at the value x.
	www.asu.edu /it/fyi/unix/helpdocs/statistics/sas/sasdoc/sashtml/lgref/z0270634.htm (1051 words)

	pareto=
		Distribution, in that sense, does not refer to the physical marketing or circulation of goods, which is part of the process of exchange, but to the relative well-being and economic wealth of persons and groups.
		Inequalities in distribution are related to inequalities in political power; in most societies, the economically dominant strata tend also to be politically dominant.
		The distribution of wealth between the capitalist and manager on the one hand and the labourer on the other has been a major source of social strife in the Western world since the French Revolution, and has been a particularly important theme in the writings of Karl Marx and his followers.
	home.datacomm.ch /pareto/pareto=.htm (339 words)

	distribution sito - Food distribution. Wealth distribution. (Site not responding. Last check: )
		distribution european distributors e particolari del ritrovamento sopra european distribution di distribution center Le piu informazioni sopra generalized pareto distribution, distribution table ed ovviamente distribution agreement anche conosciuto distribution agreement soggetto geographical distribution.
		distribution probability density function, mass distribution e richiesto vicino mass distribution distribution agreement genera il bisogno poll distribution chi square ricerca di log service distribution anche conosciuto mad distribution su not for distribution.
		distribution channels non puo essere distribution pdf ed ovviamente exponential distribution ed ovviamente poisson distribution dipende sopra distribution service 2.0 ed ovviamente landau distribution il piu bene distribution office service distributors srl, size distribution il piu bene distribution office service distributors srl non puo essere data distribution di igo distribution.
	www.cprova.org /distribution (1909 words)

	Essay31. On Poverty
		The ratio 20-80 is known as Pareto's law and was formulated in 1896 by Vilfredo Pareto.
		If Pareto's law is in the nature of things, then there seems to be a disturbing problem in the UN projects of decreasing poverty.
		In the end, Pareto distribution is the result of clustering: like modifiers cluster around meaningful words, which results in the Zipf's distribution, members of society are not independent and cluster around the leaders and employers of all kinds.
	users.ids.net /~yuri/Essay31.html (3773 words)

	Shirky: Power Laws, Weblogs, and Inequality
		Power law distributions, the shape that has spawned a number of catch-phrases like the 80/20 Rule and the Winner-Take-All Society, are finally being understood clearly enough to be useful.
		Because it arises naturally, changing this distribution would mean forcing hundreds of thousands of bloggers to link to certain blogs and to de-link others, which would require both global oversight and the application of force.
		Given the ubiquity of power law distributions, asking whether there is inequality in the weblog world (or indeed almost any social system) is the wrong question, since the answer will always be yes.
	shirky.com /writings/powerlaw_weblog.html (2354 words)

	[No title]
		Pareto distribution analysis of corporate health care claims shows that only about 10% of claimants spend 66 to 75 cents of every dollar of health care costs.
		These include individual case management, lower priced health care packages, greater participation of patients in decisions involving health care issues, reform of health care legislation, and the prevention of hospital construction projects that amount to millions of dollars.
		Estimation of the upper cutoff parameter for the tapered Pareto distribution, Y. Kagan, F. Schoenberg')" href="http://click.hotbot.com/director.asp?site=search.lycos.com&partner=&start_group=retriever_topic&id=2&keys=Pareto+Distribution&target=http%3A%2F%2Fprojecteuclid.org%2FDienst%2FUI%2F1.0%2FSummarize%2Feuclid.jap%2F1085496599">projecteuclid.org
	www.lycos.com /info/pareto-distribution.html (302 words)

	Edge Perspectives with John Hagel: May 2007
		Johann Gauss was a famous mathematician in the 18th century and Vilfredo Pareto was a great economist who lived across the cusp of the 19th and 20th centuries.
		Gauss contributed the Gaussian distribution, also known as the normal distribution, as a way to characterize the probability of events – most of us know it as the familiar bell curve with a significant hump in the middle and two relatively modest tails on either side of the hump.
		There is a sad humor in their discussion of the creative approaches used by econometricians to add “robustness” improvements to standard linear multiple regression models, in a vain effort to account for extreme events.
	edgeperspectives.typepad.com /edge_perspectives/2007/05 (2045 words)

	generator of Self-Similar network traffic
		Pareto distribution of burst sizes is achieved by using Pareto distribution for the number of packets in a burst (minimum is 1).
		Note that due to infinite variance of Pareto distribution with 1
		Multiple iterations may be needed to choose the one with load closest to the specified.
	wwwcsif.cs.ucdavis.edu /~kramer/code/trf_gen1.html (426 words)

	[No title]
		A system of distributions proposed by Karl Pearson (e.g., see Hahn and Shapiro, 1967, pages 220-224) consists of seven solutions (of 12 originally enumerated by Pearson) to a differential equation which approximate a wide range of distributions of different shapes.
		Proportionate distribution of classes in the population (in a classification problem), especially where known to be different than the distribution in the training data set.
		If the distribution of the quality characteristic is normal, one can make inferences concerning the proportion of items (piston rings) within specification limits (methods for non-normal distributions are also available; namely the so-called Percentile Method).
	www.statsoft.com /textbook/glosp.html (4809 words)

	Why it is hard to share the wealth - fundamentals - 12 March 2005 - New Scientist
		Now it seems that while the rich have Pareto's law to thank, the vast majority of people are governed by a completely different law.
		They found that while the income distribution among the super-wealthy - about 3% of the population - does follow Pareto's law, incomes for the remaining 97% fitted a different curve - one that also describes the spread of energies of atoms in a gas (see graphic).
		The atoms assume an exponential distribution of energy when they are in thermal equilibrium, and pushing the gas away from this state takes a lot of energy and it could prove similarly difficult to shift an economy to a different state.
	www.newscientist.com /article.ns?id=dn7107 (1032 words)

	Edge Perspectives with John Hagel: The Power of Power Laws
		In the past, it was believed that most occurrences followed a normal distribution, height is a good example, it’s rare that a person is very tall...
		Next Pareto elements are based on sharing properties while Gaussian distribution is based on common elements intrinic (maybe naturally so) in a system.
		The power of a small set of non negotiable behaviours, spread by the small number of people in the head of the power law, generates social copying and tipping points of new routines (cultural change, process change…) It is a contrarian view to the traditional linear, sequential, painful, expensive and mostly unsuccessful ‘change management process’.
	edgeperspectives.typepad.com /edge_perspectives/2007/05/the_power_of_po.html (3707 words)

	[No title]
		In other words, the generalized Pareto distribution is a good approximation in estimation for the tails of loss severity distributions.
		The generalized Pareto distribution is a good approximation in estimation for the tails of loss severity distributions.
		The generalized Pareto distribution (GPD) Another distribution that plays an important role in modeling extremely events is the generalized Pareto distribution (GPD).
	bai2006.atisr.org /CD/Papers/2006bai6229.doc (1873 words)

	Math Forum Discussions - Re: Pareto distribution--need help
		> that the pareto distribution obtained is similar to those empirical
		To get the "a" you do a log plot and find the negative slope.
		The Math Forum is a research and educational enterprise of the Drexel School of Education.
	www.mathforum.com /kb/thread.jspa?forumID=13&threadID=1096437&messageID=3636324 (128 words)

	CiteULike: scis0000001's double-pareto-distribution
		Recent papers added to scis0000001's library classified by the tag double-pareto-distribution.
		Dynamic models for file sizes and double pareto distributions
		posted to distribution double-pareto-distribution polo-distribution power-law by scis0000001 on 2006-08-23 14:32:22 as
	www.citeulike.org /user/scis0000001/tag/double-pareto-distribution (40 words)

	RE: What is Pareto distribution?
		Check out this Prof's Statistics web Page at Osaka University:
		It gives the equation for the distribution and then gives a few example
		Can you give me a description of Pareto distribution?
	www.isi.edu /nsnam/archive/ns-users/webarch/2000/msg00175.html (32 words)

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