| Full text | |
| Author(s): |
Galarza, Christian E.
;
Matos, Larissa A.
;
Castro, Luis M.
;
Lachos, Victor H.
Total Authors: 4
|
| Document type: | Journal article |
| Source: | JOURNAL OF MULTIVARIATE ANALYSIS; v. 189, p. 15-pg., 2022-01-03. |
| Abstract | |
In this paper, we compute doubly truncated moments for the selection elliptical class of distributions, including some multivariate asymmetric versions of well-known elliptical distributions, such as the normal, Student's t, slash, among others. We address the moments for doubly truncated members of this family, establishing neat formulation for high-order moments and its first two moments. We establish sufficient and necessary conditions for the existence of these truncated moments. Further, we propose optimized methods to handle the extreme setting of the parameters, partitions with almost zero volume or no truncation, which are validated with numerical studies. All results have been particularized to the unified skew-t distribution, a complex multivariate asymmetric heavy-tailed distribution which includes the extended skew-t, extended skew-normal, skew-t, and skew-normal distributions as particular and limiting cases. (C) 2021 Elsevier Inc. All rights reserved. (AU) | |
| FAPESP's process: | 18/11580-1 - Moments of doubly truncated multivariate distributions |
| Grantee: | Christian Eduardo Galarza Morales |
| Support Opportunities: | Scholarships abroad - Research Internship - Doctorate |
| FAPESP's process: | 15/17110-9 - Robust Estimation in Spatial Models for Censored Data |
| Grantee: | Christian Eduardo Galarza Morales |
| Support Opportunities: | Scholarships in Brazil - Doctorate |
| FAPESP's process: | 20/16713-0 - Parametric and semi-parametric regression models under the class of scale mixtures of normal distributions |
| Grantee: | Caio Lucidius Naberezny Azevedo |
| Support Opportunities: | Regular Research Grants |