Despite its popularity in applied statistics, standard measures of shape have long been recognized to be unsatisfactory, due to their extreme sensitivity to outliers and poor sample efficiency. These difficulties seem to be largely overcome by a new system: the L-moments. During the last decade several authors have established the superior performance of L-moments over classical moments based o...

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...

This article considers three methods of estimation, namely maximum likelihood, moments and L-moments, when data come from an asymmetric exponential power distribution. This is a four parameters very flexible parametric family exhibiting variety of tail and shape behaviour. The analytical expression of the first four L-moments of these distributions are derived, what allows the use of L-moments ...