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A Weighted Skew-Logistic Distribution with Applications to Environmental Data

Author

Listed:
  • Isaac Cortés

    (Facultad de Ciencias Básicas, Universidad Arturo Prat, Avenida Arturo Prat 2120, Iquique 1110939, Chile
    These authors contributed equally to this work.)

  • Jimmy Reyes

    (Departamento de Estadística y Ciencia de Datos, Facultad de Ciencias Básicas, Universidad de Antofagasta, Antofagasta 1240000, Chile
    These authors contributed equally to this work.)

  • Yuri A. Iriarte

    (Departamento de Estadística y Ciencia de Datos, Facultad de Ciencias Básicas, Universidad de Antofagasta, Antofagasta 1240000, Chile
    These authors contributed equally to this work.)

Abstract

Skewness and bimodality properties are frequently observed when analyzing environmental data such as wind speeds, precipitation levels, and ambient temperatures. As an alternative to modeling data exhibiting these properties, we propose a flexible extension of the skew-logistic distribution. The proposal corresponds to a weighted version of the skewed logistic distribution, defined by a parametric weight function that allows shapes with up to three modes for the resulting density. Parameter estimation via the maximum likelihood approach is discussed. Simulation experiments are carried out to evaluate the performance of the estimators. Applications to environmental data illustrating the utility of the proposal are presented.

Suggested Citation

  • Isaac Cortés & Jimmy Reyes & Yuri A. Iriarte, 2024. "A Weighted Skew-Logistic Distribution with Applications to Environmental Data," Mathematics, MDPI, vol. 12(9), pages 1-21, April.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:9:p:1287-:d:1381847
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    References listed on IDEAS

    as
    1. Ahmad Abubakar Suleiman & Hanita Daud & Narinderjit Singh Sawaran Singh & Mahmod Othman & Aliyu Ismail Ishaq & Rajalingam Sokkalingam, 2023. "A Novel Odd Beta Prime-Logistic Distribution: Desirable Mathematical Properties and Applications to Engineering and Environmental Data," Sustainability, MDPI, vol. 15(13), pages 1-25, June.
    2. Hamparsum Bozdogan, 1987. "Model selection and Akaike's Information Criterion (AIC): The general theory and its analytical extensions," Psychometrika, Springer;The Psychometric Society, vol. 52(3), pages 345-370, September.
    3. Saralees Nadarajah, 2009. "The skew logistic distribution," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 93(2), pages 187-203, June.
    4. Jose Ameijeiras-Alonso & Rosa M. Crujeiras & Alberto Rodríguez-Casal, 2019. "Mode testing, critical bandwidth and excess mass," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 28(3), pages 900-919, September.
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