Name
Abstract | ||
|---|---|---|
In this paper we obtain the Leimkuhler curve in the case of some important statistical distributions proposed in the informetrics and econometrics literature. In this way, we complete the previous work of Burrell [Burrell, Q. L. (2005). Symmetry and other transformation features of Lorenz/Leimkuhler representations of informetric data. Information Processing and Management, 41, 1317-1329], where several open problems were stated. To do this, we use a recent and general definition of the Leimkuhler curve proposed by Sarabia [Sarabia, J. M. (2008a). A general definition of the Leimkuhler curve. Journal of Informetrics, 2, 156-163], and a new representation of the Leimkuhler curve in terms of the first-moment distribution of the population. Specifically, we obtain the Leimkuhler curve of the following distributions: classical and exponentiated Pareto distributions; three-parameter lognormal distribution; generalized gamma distribution, which includes to the exponential and classical gamma distributions among others; generalized beta distribution of the first kind and generalized beta distribution of the second kind, which includes as particular or limiting cases next important families like beta distribution of the second kind, Singh-Maddala, Dagum, Fisk or Lomax distributions. All the obtained Leimkuhler curves can be computed easily. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1016/j.ipm.2008.04.001 | Inf. Process. Manage. |
Keywords | Field | DocType |
generalized beta distribution of the second kind,first-moment distribution,incomplete beta function ratio,generalized beta distribution,parametric family,three-parameter lognormal distribution,incomplete gamma function ratio,general definition,explicit expression,following distribution,lomax distribution,generalized gamma distribution,exponentiated pareto distribution,classical gamma distribution,classical pareto distribution,beta distribution,leimkuhler representation,productivity,leimkuhler curve,generalized beta distribution of the first kind,statistical distribution,lognormal distribution,pareto distribution,information processing,gamma distribution,incomplete gamma function,incomplete beta function | Data mining,Population,Applied mathematics,Pareto distribution,Informetrics,Beta prime distribution,Generalized beta distribution,Probability distribution,Gamma distribution,Generalized gamma distribution,Mathematics,Calculus | Journal |
Volume | Issue | ISSN |
44 | 5 | Information Processing and Management |
Citations | PageRank | References |
3 | 0.40 | 9 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| José María Sarabia | 1 | 36 | 7.61 |
| María Sarabia | 2 | 11 | 2.43 |