| Full text | |
| Author(s): |
do Nascimento, Diego Carvalho
[1]
;
Ramos, Pedro Luiz
[2]
;
Elal-Olivero, David
[1]
;
Cortes-Araya, Milton
[1]
;
Louzada, Francisco
[2]
Total Authors: 5
|
| Affiliation: | [1] Univ Atacama, Fac Ingn, Dept Matemat, Copiapo 1530000 - Chile
[2] Univ Sao Paulo, Inst Math Sci & Comp, BR-13566590 Sao Carlos - Brazil
Total Affiliations: 2
|
| Document type: | Journal article |
| Source: | SYMMETRY-BASEL; v. 13, n. 6 JUN 2021. |
| Web of Science Citations: | 0 |
| Abstract | |
Normality is the most commonly used mathematical supposition in data modeling. Nonetheless, even based on the law of large numbers (LLN), normality is a strong presumption, given that the presence of asymmetry and multi-modality in real-world problems is expected. Thus, a flexible modification in the normal distribution proposed by Elal-Olivero adds a skewness parameter called Alpha-skew-normal (ASN) distribution, which enables bimodality and fat-tail, if needed, although it is sometimes not trivial to estimate this third parameter (regardless of the location and scale). This work analyzed seven different statistical inferential methods towards the ASN distribution on synthetic data and historical data of water flux from 21 rivers (channels) in the Atacama region. Moreover, the contributions of this paper are related to the estimations of probability surrounding rivers' flux levels in the surroundings of Copiapo city, which is the most economically important city of the third Chilean region and is known to be located in one of the driest areas on Earth (excluding the North and the South Poles). The results show the competitiveness of the MPS and RADE methods with respect to the MLE method, as well as their excellent performance. (AU) | |
| FAPESP's process: | 13/07375-0 - CeMEAI - Center for Mathematical Sciences Applied to Industry |
| Grantee: | Francisco Louzada Neto |
| Support Opportunities: | Research Grants - Research, Innovation and Dissemination Centers - RIDC |
| FAPESP's process: | 20/09174-5 - Recommendation system of interest items for BeeNet users |
| Grantee: | Diego Carvalho do Nascimento |
| Support Opportunities: | Scholarships in Brazil - Technical Training Program - Technical Training |
| FAPESP's process: | 17/25971-0 - Statistical inference of complex systems |
| Grantee: | Pedro Luiz Ramos |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |