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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Bibliographic Details
Main Authors: Moreno Bedoya, David Leonardo, Fino Puerto, Nelson Ricardo
Format: Digital
Language:spa
Published: UNIVERSIDAD ANTONIO NARIÑO 2014
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Online Access:https://revistas.uan.edu.co/index.php/ingeuan/article/view/212
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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.
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