A doubling method for the generalized lambda distribution
type: Item
instance of: scholarly article
title: A doubling method for the generalized lambda distribution
zbMATH Open document ID: 1264.60015
DOI: 10.5402/2012/725754
author: Todd C. Headrick
author: Mohan D. Pant
published in: ISRN Applied Mathematics
publication date: 2013-06-11T00:00:00Z
review text: Summary: We introduce a new family of generalized lambda distributions (GLDs) based on a method of doubling symmetric GLDs. The focus of the development is in the context of \(L\)-moments and \(L\)-correlation theory. As such, included is the development of a procedure for specifying double GLDs with controlled degrees of \(L\)-skew, \(L\)-kurtosis, and \(L\)-correlations. The procedure can be applied in a variety of settings such as modeling events and Monte Carlo or simulation studies. Further, it is demonstrated that estimates of \(L\)-skew, \(L\)-kurtosis, and \(L\)-correlation are substantially superior to conventional product-moment estimates of skew, kurtosis, and Pearson correlation in terms of both relative bias and efficiency when heavy tailed distributions are of concern.
Mathematics Subject Classification ID: 60E05
zbMATH DE Number: 6172977
Wikidata QID: Q58691850
describes a project that uses: LMOMENTS
describes a project that uses: Mathematica
describes a project that uses: Spotfire
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.5402/2012/725754
OpenAlex ID: W2103401370
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description: scientific article; zbMATH DE number 6172977