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International Journal of Stochastic Analysis
Volume 2013 (2013), Article ID 652364, 6 pages
http://dx.doi.org/10.1155/2013/652364
Research Article

The BALM Copula

1Department of Applied Mathematics, Kettering University, Flint, MI 48504, USA
2Department of Statistics, University of Sao Paulo, CP 66281, 05311-970 Sao Paulo, SP, Brazil

Received 25 April 2013; Revised 26 August 2013; Accepted 28 August 2013

Academic Editor: Nikolai Leonenko

Copyright © 2013 Boyan Dimitrov and Nikolai Kolev. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The class of probability distributions possessing the almost-lack-of-memory property appeared about 20 years ago. It reasonably took place in research and modeling, due to its suitability to represent uncertainty in periodic random environment. Multivariate version of the almost-lack-of-memory property is less known, but it is not less interesting. In this paper we give the copula of the bivariate almost-lack-of-memory (BALM) distributions and discuss some of its properties and applications. An example shows how the Marshal-Olkin distribution can be turned into BALM and what is its copula.