An efficient estimator of the parameters of the generalized lambda distribution

Estimation of the four generalized lambda distribution parameters is not straightforward, and available estimators that perform best have large computation times. In this paper, we introduce a simple two-step estimator of the parameters that is comparatively very quick to compute and performs well w...

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Bibliographic Details
Published in:Journal of statistical computation and simulation 2021-01, Vol.91 (1), p.197-215, Article 197
Main Authors: Dedduwakumara, Dilanka S., Prendergast, Luke A., Staudte, Robert G.
Format: Article
Language:English
Subjects:
Bootstrap interval estimator
Estimators
generalized lambda distribution
Parameter estimation
probability density quantile
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Summary:Estimation of the four generalized lambda distribution parameters is not straightforward, and available estimators that perform best have large computation times. In this paper, we introduce a simple two-step estimator of the parameters that is comparatively very quick to compute and performs well when compared with other methods. This computational efficiency makes the use of bootstrapping to obtain interval estimators for the parameters possible. Simulations are used to assess the performance of the new estimators and applications to several data sets are included.
ISSN:0094-9655
1563-5163
DOI:10.1080/00949655.2020.1808979