Determination of the Beta distribution form its Lorenz curve
نویسندگان
چکیده
منابع مشابه
Modelling Lorenz curve
There has been a large number of studies in which the scientists have built models for income distributions. As an alternative, some have built models for Lorenz curves. The step from Lorenz curve to distribution function is more difficult than the step from distribution function to Lorenz curve. There is a difference between advanced and simple Lorenz models. Advanced models with several param...
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In this paper hybrid Lorenz curves are proposed as a way of circumventing an important drawback of traditional models of the Lorenz curve, namely lack of satisfactory fit over the entire range of a given income distribution. Two categories of hybrid models are identified, namely the additive models and the multiplicative models. Whereas the additive models are obtained by taking convex combinat...
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The main objective of the study is to compare the Newton-Cotes methods such as the Trapezium rule, Simpson 1/3 rule and Simpson 3/8 rule to estimate the area under the Lorenz curve and Gini coefficient of income using polynomial function with degree 5. Comparing the Gini coefficients of income computed from the Polynomial function with degree 5 for the Trapezium, Simpson 1/3 and Simpson 3/8 met...
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Abstract: This paper shows that a large class of chaotic systems, introduced in (Čelikovský and Vaněček, 1994), (Vaněček and Čelikovský, 1996) as the generalized Lorenz system, can be further generalized to the hyperbolic-type generalized Lorenz system. While the generalized Lorenz system unifies both the famous Lorenz system and new Chen’s system (Ueta and Chen, 1999), (Chen and Ueta, 2000), t...
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The Lorenz curve for assessing economic inequality depicts the relation between two cumulative distribution functions (CDFs), one for the distribution of incomes or wealth and the other for their first-moment distribution. By contrast, the receiver operating characteristic (ROC) curve for evaluating diagnostic systems depicts the relation between the complements of two CDFs, one for the distrib...
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ژورنال
عنوان ژورنال: Mathematical and Computer Modelling
سال: 1992
ISSN: 0895-7177
DOI: 10.1016/0895-7177(92)90008-9