Asymmetric Univariate and Bivariate Laplace and Generalized Laplace Distributions

Authors

  • Barry Arnold Department of Statistics, University of California, Riverside, USA
Abstract:

Alternative specifications of univariate asymmetric Laplace models are described and investigated. A more general mixture model is then introduced. Bivariate extensions of these models are discussed in some detail, with particular emphasis on associated parameter estimation strategies. Multivariate versions of the models are briefly introduced.

Upgrade to premium to download articles

Sign up to access the full text

Already have an account?login

similar resources

Applications of The Normal Laplace and Generalized Normal Laplace Distributions

Two parametric models for income and financial return distributions are presented. There are the four-parameter normal Laplace (NL) and the five-parameter generalized normal Laplace (GNL) distributions. Their properties are discussed; furthermore, estimation of the parameters by the method of moments and maximum likelihood is presented. The performances of fitting the two models to nine empiric...

full text

Asymmetric Uniform-Laplace Distribution‎: ‎Properties and Applications

‎The goal of this study is to introduce an Asymmetric Uniform-Laplace (AUL) distribution‎. ‎We present a detailed theoretical description of this distribution‎. ‎We try to estimate the parameters of AUL distribution using the maximum likelihood method‎. ‎Since the likelihood approach results in complicated forms‎, ‎we suggest a bootstrap-based approach for es...

full text

Multivariate Generalized Laplace Distributions and Related Random Fields

Multivariate Laplace distribution is an important stochastic model that accounts for asymmetry and heavier than Gaussian tails often observed in practical data, while still ensuring the existence of the second moments. A Lévy process based on this multivariate infinitely divisible distribution is known as Laplace motion, and its marginal distributions are multivariate generalized Laplace laws. ...

full text

Log-laplace Distributions

We present a comprehensive theory and review historical development of the log-Laplace distributions, which can be thought of as exponential functions of skew Laplace laws and have power tail behavior at zero and infinity. We give new results on their properties, representations, and characterizations, discuss estimation of their parameters, and briefly review their applications. AMS Subject Cl...

full text

Reliability for Laplace Distributions

In the area of stress-strength models there has been a large amount of work as regards estimation of the reliability R = Pr(X2 < X1) when X1 and X2 are independent random variables belonging to the same univariate family of distributions. The algebraic form for R= Pr(X2 < X1) has been worked out for the majority of the well-known distributions in the standard forms. However, there are still man...

full text

The h-Laplace and q-Laplace transforms

Article history: Received 12 May 2009 Available online 6 October 2009 Submitted by B.S. Thomson

full text

My Resources

Save resource for easier access later

Save to my library Already added to my library

{@ msg_add @}


Journal title

volume 20  issue 1

pages  61- 81

publication date 2021-06

By following a journal you will be notified via email when a new issue of this journal is published.

Keywords

Hosted on Doprax cloud platform doprax.com

copyright © 2015-2023