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Communications in Statistics - Theory and Methods Volume 34, 2005 - Issue 9-10
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DISTRIBUTIONS AND APPLICATIONS

A Three-Parameter Asymmetric Laplace Distribution and Its Extension

Keming Yu School of Mathematics and Statistics, University of Plymouth, UKCorrespondence[email protected]
&
Jin Zhang University of Manitoba, Manitoba, Canada
Pages 1867-1879 | Received 10 Sep 2004, Accepted 15 Apr 2005, Published online: 02 Sep 2006
 
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ABSTRACT

In this article, a new three-parameter asymmetric Laplace distribution and its extension are introduced. This includes as special case the symmetric Laplace double-exponential distribution. The distribution has established a direct link to estimation of quantile and quantile regression. Properties of the new distribution are presented. Application is made to a flood data modeling example.

Acknowledgments

We thank Dr. Alan Watkins and a referee for thoughtful comments which led to a substantial improvement of the article.

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