Using genetic algorithms as a parameter estimation tool for the generalized lambda distribution (gld) family: “methods of moments”

The generalized lambda distribution, λ,λ,λ,λ(GLD ) 1 432 is a four-parameter family that has been used for fitting distributions to a wide variety of data sets. Minimization through traditional calculus-based methods has been implemented with relative success, but due to computational and theoretica...

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Autores:
Tipo de recurso:
Article of journal
Fecha de publicación:
2014
Institución:
Universidad Antonio Nariño
Repositorio:
Repositorio UAN
Idioma:
spa
OAI Identifier:
oai:repositorio.uan.edu.co:123456789/10397
Acceso en línea:
https://revistas.uan.edu.co/index.php/ingeuan/article/view/212
https://repositorio.uan.edu.co/handle/123456789/10397
Palabra clave:
Data Fitting
Generalized Lambda Distribution
Minimization Method
Moments
Percentiles
Genetic Algorithms
Rights
License
https://creativecommons.org/licenses/by-nc-sa/4.0
Description
Summary:The generalized lambda distribution, λ,λ,λ,λ(GLD ) 1 432 is a four-parameter family that has been used for fitting distributions to a wide variety of data sets. Minimization through traditional calculus-based methods has been implemented with relative success, but due to computational and theoretical shortcomings of those methods, the moment space has been limited. This paper solve those troubles by using Genetic Algorithms (search algorithms based on the mechanics of natural selection and natural genetics) applied to the methods of moments. Examples of better solutions than the ones find out with traditional calculusbased methods are included.