Skewed Multivariate Birnbaum-Saunders Distributions
Autor: | Lemonte, Artur J., Martínez-Florez, Guillermo, Moreno-Arenas, Germán |
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Rok vydání: | 2012 |
Předmět: | |
Druh dokumentu: | Working Paper |
Popis: | The univariate Birnbaum-Saunders distribution has been used quite effectively to model times to failure for materials subject to fatigue and for modeling lifetime data. In this article, we define a skewed version of the Birnbaum-Saunders distribution in the multivariate setting and derive several of its properties. The proposed skewed multivariate model is an absolutely continuous distribution whose marginals are univariate Birnbaum-Saunders distributions. Estimation of the parameters by maximum likelihood is discussed and the Fisher's information matrix is determined. A skewed bivariate version for the generalized Birnbaum-Saunders distribution is also introduced. We provide an application to real data which illustrates the usefulness of the proposed multivariate model. Comment: Submitted for publication |
Databáze: | arXiv |
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