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en>David Eppstein: +ordering in the 2-4 tree

2013-10-22T04:43:18Z

+ordering in the 2-4 tree

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			name =Dagum Distribution\|
			type =density\|
			pdf_image =[[File:Dagum Distribution (pdf).png\|325px\|The pdf of the Dagum distribution for various parameter specifications.]]\|
			cdf_image =No image available\|
			parameters =<math>p>0</math> [[shape parameter\|shape]] <br/><math>a>0</math> [[shape parameter\|shape]] <br/><math>b > 0</math> [[scale parameter\|scale]]\|
			support =<math>x>0</math> \|
			pdf =<math> \frac{a p}{x} \left( \frac{(\tfrac{x}{b})^{a p}}{\left((\tfrac{x}{b})^a + 1 \right)^{p+1}} \right) </math> \|
			cdf =<math> {\left( 1+{\left(\frac{x}{b}\right)}^{-a} \right)}^{-p} </math>\|
			mean =<math>\begin{cases}
			-\frac{b}{a}\frac{\Gamma\left(-\tfrac{1}{a}\right)\Gamma\left(\tfrac{1}{a}+p\right)}{\Gamma(p)} & \text{if}\ a>1 \\
			\text{Indeterminate} & \text{otherwise}\ \end{cases}</math> \|
			median =<math> b{\left(-1+2^{\tfrac{1}{p}}\right)}^{-\tfrac{1}{a}} </math> \|
			mode =<math> b{\left( \frac{ap-1}{a+1} \right)}^{\tfrac{1}{a}}</math>\|
			variance =<math>\begin{cases}
			-\frac{b^2}{a^2} \left(2 a \frac{\Gamma\left(-\tfrac{2}{a}\right) \, \Gamma\left(\tfrac{2}{a} + p\right)}{\Gamma\left(p\right)} + \left( \frac{\Gamma\left(-\tfrac{1}{a}\right) \Gamma\left(\tfrac{1}{a} + p\right)}{\Gamma\left(p\right)} \right)^2\right) & \text{if}\ a>2 \\
			\text{Indeterminate} & \text{otherwise}\ \end{cases}</math> \|
			skewness =\|
			kurtosis =\|
			entropy =\|
			mgf =\|
			char =\|
			}}

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With relation to its magnificent style for ladies, you~~'~~ll find nothing much much better than having a fantastic handbag~~. <br><br>~~michael kors factory outletI'm compelled to tell you that your macys michael kors wallets site is really fantastic I definitely such as your design.~~ The ~~collection was the mixture~~ of ~~numerous wonderful feelings. Kors also featured crocheted and knitted items for both people, for example~~ the ~~ecru poncho for girls~~ (~~accessorized while using chartreuse straw bag~~) ~~and the cream textured jumper for men, paired using the tortoise shell print pants ' both creating~~ a ~~macram. They sell bags that are inside the $700-$1~~,~~200 range~~, ~~as well as the common signature bags within the $200~~-~~$300 range. 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You do not need to michael michael kors handbag hamilton quilted large tote press~~ the ~~product or service down to~~ the ~~material~~. ~~You brings everything you may need with you as you are out~~ and ~~about~~. ~~Vuitton replica#CELEBRITY SIGHTINGS ROUNDUP~~: ~~Brand new Pirates and priests pitcher Erik Bedard possessing their initially San antonio meal from Beach Barbecue grill.~~ <br><br>~~michael kors ukFor~~ a ~~fair price, this Elliot Lucca clutch from Nordstrom~~ and ~~Arabella Duffle Satchel by Ivanka Trump certainly are~~ a ~~good choice~~. ~~Some stores can even drop their prices to match up using competitors~~. ~~The store is found at 3537 Browns Mill Road~~, ~~Atlanta 30354~~. [http://~~www.pcs-systems~~.co.uk/~~Images~~/~~celinebag~~.~~aspx Celine Bags Outlet~~] ~~Bags Slower increase in that handbags segment complete is mostl a mone~~-smart mindset due on the economic situation we discover inside us immediatel,Within proclaimed Patricia Edwards, whom aids command $11. You can help to conserve tons of money by shopping through live auctions.		The '''Dagum distribution''' is a continuous [[probability distribution]] defined over all positive real numbers. It is named after Camilo Dagum, who proposed it in a series of papers in the 1970s.<ref name=dagum1975>Dagum, Camilo (1975); A model of income distribution and the conditions of existence of moments of finite order; ''Bulletin of the International Statistical Institute'', 46 (Proceeding of the 40th Session of the ISI, Contributed Paper), 199-205.</ref><ref name=dagum1977>Dagum, Camilo (1977); A new model of personal income distribution: Specification and estimation; ''Economie Appliquée'', 30, 413-437.</ref> The Dagum distribution arose from several variants of a new model on the size distribution of personal income and is mostly associated with the study of [[income distribution]]. There is both a three-parameter specification (Type I) and a four-parameter specification (Type II) of the Dagum distribution; a summary of the genesis of this distribution can be found in "A Guide to the Dagum Distributions".<ref name=kleiber2008>Kleiber, Christian (2008) "A Guide to the Dagum Distributions" in Chotikapanich, Duangkamon (ed.) ''Modeling Income Distributions and Lorenz Curves (Economic Studies in Inequality, Social Exclusion and Well-Being)'', Chapter 6, Springer</ref> A general source on statistical size distributions often cited in work using the Dagum distribution is ''Statistical Size Distributions in Economics and Actuarial Sciences''.<ref name=kleiber2003>Kleiber, Christian and Samuel Kotz (2003) ''Statistical Size Distributions in Economics and Actuarial Sciences'', Wiley</ref>

			==Definition==
			The [[cumulative distribution function]] of the Dagum distribution (Type I) is given by
			:<math>F(x;a,b,p)= {\left( 1+{\left(\frac{x}{b}\right)}^{-a} \right)}^{-p} </math> for <math> x > 0 </math> and where <math> a, b, p > 0 .</math>

			The corresponding [[probability density function]] is given by
			:<math>f(x;a,b,p)= \frac{a p}{x} \left( \frac{(\tfrac{x}{b})^{a p}}{\left((\tfrac{x}{b})^a + 1 \right)^{p+1}} \right) .</math>

			The Dagum distribution can be derived as a special case of the Generalized Beta II (GB2) distribution (a generalization of the [[Beta prime distribution]]). There is also an intimate relationship between the Dagum and [[Singh-Maddala distribution]].
			:<math> X \sim D(a,b,p) \iff \frac{1}{X} \sim SM(a,\tfrac{1}{b},p)</math>

			The [[cumulative distribution function]] of the Dagum (Type II) distribution adds a point mass at the origin and then follows a Dagum (Type I) distribution over the rest of the support (i.e. over the positive halfline)
			:<math>F(x;a,b,p,\delta)= \delta + (1-\delta) {\left( 1+{\left(\frac{x}{b}\right)}^{-a} \right)}^{-p} .</math>

			{{Refimprove\|date=June 2011}}

			==References==
			{{Reflist}}

			==External links==
			*[http://aix1.uottawa.ca/~gxgcb/Dagum_engl.htm Camilo Dagum (1925 - 2005)] : obituary

			{{ProbDistributions\|continuous-semi-infinite}}

			[[Category:Continuous distributions]]
			[[Category:Income distribution]]
			[[Category:Probability distributions]]

en>Cydebot: Robot - Moving category Heaps (structure) to :Category:Heaps (data structures) per CFD at Wikipedia:Categories for discussion/Log/2012 January 12.

2012-01-17T01:07:33Z

Robot - Moving category Heaps (structure) to Category:Heaps (data structures) per CFD at Wikipedia:Categories for discussion/Log/2012 January 12.

New page

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