Generalizing the normality: a novel towards different estimation methods for skewed information
Normality is the most often mathematical supposition used 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 No...
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Online Access: | https://dx.doi.org/10.48550/arxiv.2105.00031 https://arxiv.org/abs/2105.00031 |
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ftdatacite:10.48550/arxiv.2105.00031 2023-05-15T18:22:34+02:00 Generalizing the normality: a novel towards different estimation methods for skewed information Nascimento, Diego C Ramos, Pedro Luiz Elal-Olivero, David Cortes-Araya, Milton Louzada, Francisco 2021 https://dx.doi.org/10.48550/arxiv.2105.00031 https://arxiv.org/abs/2105.00031 unknown arXiv Creative Commons Attribution 4.0 International https://creativecommons.org/licenses/by/4.0/legalcode cc-by-4.0 CC-BY Methodology stat.ME Applications stat.AP FOS Computer and information sciences Article CreativeWork article Preprint 2021 ftdatacite https://doi.org/10.48550/arxiv.2105.00031 2022-03-10T14:10:48Z Normality is the most often mathematical supposition used 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 [12] adds a skewness parameter, called Alpha-skew Normal (ASN) distribution, enabling bimodality and fat-tail, if needed, although sometimes not trivial to estimate this third parameter (regardless of the location and scale). This work analyzed seven different statistical inferential methods towards the ASNdistribution on synthetic data and historical data of water flux from 21 rivers (channels) in the Atacama region. Moreover, the contribution of this paper is related to the probability estimation surrounding the rivers' flux level in Copiapo city neighborhood, the most important economic city of the third Chilean region, and known to be located in one of the driest areas on Earth, besides the North and the South Pole Article in Journal/Newspaper South pole DataCite Metadata Store (German National Library of Science and Technology) Olivero ENVELOPE(-63.600,-63.600,-66.133,-66.133) South Pole |
institution |
Open Polar |
collection |
DataCite Metadata Store (German National Library of Science and Technology) |
op_collection_id |
ftdatacite |
language |
unknown |
topic |
Methodology stat.ME Applications stat.AP FOS Computer and information sciences |
spellingShingle |
Methodology stat.ME Applications stat.AP FOS Computer and information sciences Nascimento, Diego C Ramos, Pedro Luiz Elal-Olivero, David Cortes-Araya, Milton Louzada, Francisco Generalizing the normality: a novel towards different estimation methods for skewed information |
topic_facet |
Methodology stat.ME Applications stat.AP FOS Computer and information sciences |
description |
Normality is the most often mathematical supposition used 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 [12] adds a skewness parameter, called Alpha-skew Normal (ASN) distribution, enabling bimodality and fat-tail, if needed, although sometimes not trivial to estimate this third parameter (regardless of the location and scale). This work analyzed seven different statistical inferential methods towards the ASNdistribution on synthetic data and historical data of water flux from 21 rivers (channels) in the Atacama region. Moreover, the contribution of this paper is related to the probability estimation surrounding the rivers' flux level in Copiapo city neighborhood, the most important economic city of the third Chilean region, and known to be located in one of the driest areas on Earth, besides the North and the South Pole |
format |
Article in Journal/Newspaper |
author |
Nascimento, Diego C Ramos, Pedro Luiz Elal-Olivero, David Cortes-Araya, Milton Louzada, Francisco |
author_facet |
Nascimento, Diego C Ramos, Pedro Luiz Elal-Olivero, David Cortes-Araya, Milton Louzada, Francisco |
author_sort |
Nascimento, Diego C |
title |
Generalizing the normality: a novel towards different estimation methods for skewed information |
title_short |
Generalizing the normality: a novel towards different estimation methods for skewed information |
title_full |
Generalizing the normality: a novel towards different estimation methods for skewed information |
title_fullStr |
Generalizing the normality: a novel towards different estimation methods for skewed information |
title_full_unstemmed |
Generalizing the normality: a novel towards different estimation methods for skewed information |
title_sort |
generalizing the normality: a novel towards different estimation methods for skewed information |
publisher |
arXiv |
publishDate |
2021 |
url |
https://dx.doi.org/10.48550/arxiv.2105.00031 https://arxiv.org/abs/2105.00031 |
long_lat |
ENVELOPE(-63.600,-63.600,-66.133,-66.133) |
geographic |
Olivero South Pole |
geographic_facet |
Olivero South Pole |
genre |
South pole |
genre_facet |
South pole |
op_rights |
Creative Commons Attribution 4.0 International https://creativecommons.org/licenses/by/4.0/legalcode cc-by-4.0 |
op_rightsnorm |
CC-BY |
op_doi |
https://doi.org/10.48550/arxiv.2105.00031 |
_version_ |
1766201979876409344 |