Quantile Estimation Using the Log-Skew-Normal Linear Regression Model with Application to Children’s Weight Data
In this article, we establish properties that relate quantiles of the log-skew-normal distribution to its parameters, allowing us to investigate the relationship between quantiles of a positive skewed response variable and a set of explanatory variables via the log-skew-normal linear regression mode...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-08-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/11/17/3736 |
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| author | Raúl Alejandro Morán-Vásquez Anlly Daniela Giraldo-Melo Mauricio A. Mazo-Lopera |
| author_facet | Raúl Alejandro Morán-Vásquez Anlly Daniela Giraldo-Melo Mauricio A. Mazo-Lopera |
| author_sort | Raúl Alejandro Morán-Vásquez |
| collection | DOAJ |
| description | In this article, we establish properties that relate quantiles of the log-skew-normal distribution to its parameters, allowing us to investigate the relationship between quantiles of a positive skewed response variable and a set of explanatory variables via the log-skew-normal linear regression model. We compute the maximum likelihood estimates of the parameters through a correspondence between the log-skew-normal and skew-normal linear regression models. Monte Carlo simulations show the satisfactory performance of the quantile estimators. An application to children’s data is presented and discussed. |
| first_indexed | 2024-03-10T23:17:45Z |
| format | Article |
| id | doaj.art-d9791548be014f69bb5bd39e83a34dde |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T23:17:45Z |
| publishDate | 2023-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-d9791548be014f69bb5bd39e83a34dde2023-11-19T08:31:26ZengMDPI AGMathematics2227-73902023-08-011117373610.3390/math11173736Quantile Estimation Using the Log-Skew-Normal Linear Regression Model with Application to Children’s Weight DataRaúl Alejandro Morán-Vásquez0Anlly Daniela Giraldo-Melo1Mauricio A. Mazo-Lopera2Instituto de Matemáticas, Universidad de Antioquia, Calle 67 No. 53-108, Medellín 050010, ColombiaInstituto de Matemáticas, Universidad de Antioquia, Calle 67 No. 53-108, Medellín 050010, ColombiaEscuela de Estadística, Universidad Nacional de Colombia, Carrera 65 No. 59A-110, Medellín 050034, ColombiaIn this article, we establish properties that relate quantiles of the log-skew-normal distribution to its parameters, allowing us to investigate the relationship between quantiles of a positive skewed response variable and a set of explanatory variables via the log-skew-normal linear regression model. We compute the maximum likelihood estimates of the parameters through a correspondence between the log-skew-normal and skew-normal linear regression models. Monte Carlo simulations show the satisfactory performance of the quantile estimators. An application to children’s data is presented and discussed.https://www.mdpi.com/2227-7390/11/17/3736child growth standardsnon-normal regression modelsquantile modelingskew-normal distribution |
| spellingShingle | Raúl Alejandro Morán-Vásquez Anlly Daniela Giraldo-Melo Mauricio A. Mazo-Lopera Quantile Estimation Using the Log-Skew-Normal Linear Regression Model with Application to Children’s Weight Data Mathematics child growth standards non-normal regression models quantile modeling skew-normal distribution |
| title | Quantile Estimation Using the Log-Skew-Normal Linear Regression Model with Application to Children’s Weight Data |
| title_full | Quantile Estimation Using the Log-Skew-Normal Linear Regression Model with Application to Children’s Weight Data |
| title_fullStr | Quantile Estimation Using the Log-Skew-Normal Linear Regression Model with Application to Children’s Weight Data |
| title_full_unstemmed | Quantile Estimation Using the Log-Skew-Normal Linear Regression Model with Application to Children’s Weight Data |
| title_short | Quantile Estimation Using the Log-Skew-Normal Linear Regression Model with Application to Children’s Weight Data |
| title_sort | quantile estimation using the log skew normal linear regression model with application to children s weight data |
| topic | child growth standards non-normal regression models quantile modeling skew-normal distribution |
| url | https://www.mdpi.com/2227-7390/11/17/3736 |
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