Generalized Lambda Distribution and its Properties

Generalized half-normal distribution: Model and properties

In this article new generalization of half-normal distribution as the half generalized normal distribution is introduced.‎ This distribution, contains the half-normal distribution as special case. ‎We provide mathematical properties of this distribution. We also derive the pdf, cdf, -th moment, the asymmetry and kurtosis coefficients and the moment generating function. We discuss some inferenti...

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...

L-moments and TL-moments of the generalized lambda distribution

The 4-parameter generalized lambda distribution (GLD) is a flexible distribution capable of mimicking the shapes of many distributions and data samples including those with heavy tails. The method of L-moments and the recently developed method of trimmed L-moments (TL-moments) are attractive techniques for parameter estimation for heavy-tailed distributions for which the Land TL-moments have be...

Characterizing the generalized lambda distribution by L-moments

The generalized lambda distribution (GLD) is a flexible four parameter distribution with many practical applications. L-moments of the GLD can be expressed in closed form and are good alternatives for the central moments. The L-moments of the GLD up to an arbitrary order are presented, and a study of L-skewness and L-kurtosis that can be achieved by the GLD is provided. The boundaries of L-skew...

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 ...

A Doubling Method for the Generalized Lambda Distribution