A Doubling Method for the Generalized Lambda Distribution

A Doubling Method for the Generalized Lambda Distribution

Generalized Lambda Distribution and its Properties

‎Generalized Lambda Distribution is an extension of Tukey's lambda distribution‎, ‎that is very flexible in modeling information and statistical data‎. ‎In this paper‎, ‎We introduced two parameterization of this distribution‎. ‎Then We estimate parameters by moment matching‎, ‎percentile‎, ‎starship and maximum likelihood methods and compare two parameterization and parameter estimation method...

Method of L-moment estimation for the generalized lambda distribution

The generalized lambda distribution (GLD) is a flexible distribution for statistical modelling, but existing estimation methodologies for the GLD are computationally difficult, rendering the GLD impractical for many practitioners. We derive a parameterization of the GLD with closed-form expressions for the method of L-moment estimators. A numerical example involving the age of coronary heart di...

Estimating the parameters of a generalized lambda distribution

The method of moments is a popular technique for estimating the parameters of a generalized lambda distribution (GLD), but published results suggest that the percentile method gives superior results. However, the percentile method cannot be implemented in an automatic fashion, and automatic methods, like the starship method, can lead to prohibitive execution time with large sample sizes. A new ...

Sample Size and the Accuracy of the Generalized Lambda Distribution

The Generalized Lambda Distribution is a popular tool for generating random numbers following a wide range of non-normal, asymmetric distributions. In this short paper we assess the accuracy of the technique in replicating moments across a range of “sample sizes.” We find that accuracy is highly dependent on sample size, particularly with respect to the third and fourth moments. Generally, acce...