Volume 20, Issue 1 (6-2021)
JIRSS 2021, 20(1): 61-81 |
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Department of Statistics, University of California, Riverside, USA , barnold@ucr.edu
Abstract: (610 Views)
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.
Keywords: Asymmetric Laplace, Bivariate Laplace, Exponential Minima, Gamma Components, Generalized Asymmetric Laplace, Laplace
Type of Study: Special Issue, Original Paper |
Subject:
62Exx: Distribution theory
Received: 2021/01/25 | Accepted: 2021/03/17 | Published: 2021/06/20
Received: 2021/01/25 | Accepted: 2021/03/17 | Published: 2021/06/20
References
1. Arnold, B.C. (2020), Some bivariate and multivariate models involving independent gamma distributed components. To appear in: Contributions to Statistical Distribution Theory and Inference, a Festschrift in Honor of C. R. Rao on the Occasion of His 100th Birthday.
2. Arnold, B. C., Ng, and H. K. T. (2011), Flexible bivariate beta distributions. Journal of Multivariate Analysis, 102, 1194-1202 .
3. Arvanitis, M. (2018), Likelihood-Free Estimation for Some Flexible Families of Distributions (Doctoral dissertation, UC Riverside).
4. Jones, M. C. (2019), On a characteristic property of distributions related to the Laplace. South African Statistical Journal, 53, 31-34.
5. Kozubowski, T. J., and Podgórski, K. (2000), A Multivariate and Asymmetric Generalization of Laplace Distribution. Computational Statistics, 15, 531-540. [DOI:10.1007/PL00022717]
6. Kozubowski, T. J., and Podgorski, K. (2000), Asymmetric Laplace distributions. Mathematical Scientist, 25(1), 37-46.
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