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Ferreira CS, Bolfarine H, Lachos VH. Linear mixed models based on skew scale mixtures of normal distributions. COMMUN STAT-SIMUL C 2020. [DOI: 10.1080/03610918.2020.1827265] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
Affiliation(s)
- Clécio S. Ferreira
- Department of Statistics, Federal University of Juiz de Fora, Juiz de Fora, Brazil
| | - Heleno Bolfarine
- Department of Statistics, University of São Paulo, São Paulo, Brazil
| | - Víctor H. Lachos
- Department of Statistics, University of Connecticut, Storrs, Connecticut, USA
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A Selective Overview of Skew-Elliptical and Related Distributions and of Their Applications. Symmetry (Basel) 2020. [DOI: 10.3390/sym12010118] [Citation(s) in RCA: 20] [Impact Index Per Article: 5.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/17/2022] Open
Abstract
Within the context of flexible parametric families of distributions, much work has been dedicated in recent years to the theme of skew-symmetric distributions, or symmetry-modulated distributions, as we prefer to call them. The present contribution constitutes a review of this area, with special emphasis on multivariate skew-elliptical families, which represent the subset with more immediate impact on applications. After providing background information of the distribution theory aspects, we focus on the aspects more relevant for applied work. The exposition is targeted to non-specialists in this domain, although some general knowledge of probability and multivariate statistics is assumed. Given this aim, the mathematical profile is kept to the minimum required.
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A comparison of care management delivery models on the trajectories of medical costs among patients with chronic diseases: 4-year follow-up results. HEALTH SERVICES AND OUTCOMES RESEARCH METHODOLOGY 2016. [DOI: 10.1007/s10742-016-0160-x] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/26/2023]
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