Published

2025-01-01

A Flexible Discrete Probability Model for Partly Cloudy Days

Un modelo de probabilidad discreto flexible para días parcialmente nublados

DOI:

https://doi.org/10.15446/rce.v48n1.113025

Keywords:

Statistical model, Failure Rate, Recurrence relation of moments, Estimation. (en)
Modelo estadístico, Tasa de fallas, Relación de recurrencia de momentos, Estimación. (es)

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Authors

  • Tassaddaq Hussain University of Science and Technology (MUST)
  • Hassan S. Bakouch Tanta University
  • Zahid Ur Rehman Jiangxi University of Finance and Economics
  • Mohammad Shakil Miami Dade College city
  • Qingsong Shan Jiangxi University of Finance and Economics
  • Qianning Liu Jiangxi University of Finance and Economics

In this article, a discrete time probability model is proposed, its mathematical properties and formulation are studied under the nabla structure which include discrete Laplace transformation, moments, recurrence relation between moments, index of dispersion, and asymptotic distribution of extremes. Furthermore, application of model with rereference to the partly cloudy days is discussed. Moreover, model compatibility is checked by chi-square, Anderson-Darling, Cramér-von Mises, information criterion and Vuong statistics and found that proposed model is the best strategy for such data analysis.

En este artículo se propone un modelo de probabilidad en tiempo discreto, se estudian sus propiedades matemáticas y su formulación bajo la estructura nabla que incluye transformación discreta de Laplace, momentos, relación de recurrencia entre momentos, índice de dispersión y distribución asintótica de extremos. Además, se discute la aplicación del modelo con referencia a los días parcialmente nublados. Además, la compatibilidad del modelo se verifica mediante chi-cuadrado, Anderson-Darling, Cramér-von Mises, criterio de información y estadísticas de Vuong y se encontró que el modelo propuesto es la mejor estrategia para dicho análisis de datos.

References

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How to Cite

APA

Hussain, T., Bakouch, H. S., Rehman, Z. U., Shakil, M., Shan, Q. and Liu, Q. (2025). A Flexible Discrete Probability Model for Partly Cloudy Days. Revista Colombiana de Estadística, 48(1), 1–21. https://doi.org/10.15446/rce.v48n1.113025

ACM

[1]
Hussain, T., Bakouch, H.S., Rehman, Z.U., Shakil, M., Shan, Q. and Liu, Q. 2025. A Flexible Discrete Probability Model for Partly Cloudy Days. Revista Colombiana de Estadística. 48, 1 (Jan. 2025), 1–21. DOI:https://doi.org/10.15446/rce.v48n1.113025.

ACS

(1)
Hussain, T.; Bakouch, H. S.; Rehman, Z. U.; Shakil, M.; Shan, Q.; Liu, Q. A Flexible Discrete Probability Model for Partly Cloudy Days. Rev. colomb. estad. 2025, 48, 1-21.

ABNT

HUSSAIN, T.; BAKOUCH, H. S.; REHMAN, Z. U.; SHAKIL, M.; SHAN, Q.; LIU, Q. A Flexible Discrete Probability Model for Partly Cloudy Days. Revista Colombiana de Estadística, [S. l.], v. 48, n. 1, p. 1–21, 2025. DOI: 10.15446/rce.v48n1.113025. Disponível em: https://revistas.unal.edu.co/index.php/estad/article/view/113025. Acesso em: 19 feb. 2025.

Chicago

Hussain, Tassaddaq, Hassan S. Bakouch, Zahid Ur Rehman, Mohammad Shakil, Qingsong Shan, and Qianning Liu. 2025. “A Flexible Discrete Probability Model for Partly Cloudy Days”. Revista Colombiana De Estadística 48 (1):1-21. https://doi.org/10.15446/rce.v48n1.113025.

Harvard

Hussain, T., Bakouch, H. S., Rehman, Z. U., Shakil, M., Shan, Q. and Liu, Q. (2025) “A Flexible Discrete Probability Model for Partly Cloudy Days”, Revista Colombiana de Estadística, 48(1), pp. 1–21. doi: 10.15446/rce.v48n1.113025.

IEEE

[1]
T. Hussain, H. S. Bakouch, Z. U. Rehman, M. Shakil, Q. Shan, and Q. Liu, “A Flexible Discrete Probability Model for Partly Cloudy Days”, Rev. colomb. estad., vol. 48, no. 1, pp. 1–21, Jan. 2025.

MLA

Hussain, T., H. S. Bakouch, Z. U. Rehman, M. Shakil, Q. Shan, and Q. Liu. “A Flexible Discrete Probability Model for Partly Cloudy Days”. Revista Colombiana de Estadística, vol. 48, no. 1, Jan. 2025, pp. 1-21, doi:10.15446/rce.v48n1.113025.

Turabian

Hussain, Tassaddaq, Hassan S. Bakouch, Zahid Ur Rehman, Mohammad Shakil, Qingsong Shan, and Qianning Liu. “A Flexible Discrete Probability Model for Partly Cloudy Days”. Revista Colombiana de Estadística 48, no. 1 (January 21, 2025): 1–21. Accessed February 19, 2025. https://revistas.unal.edu.co/index.php/estad/article/view/113025.

Vancouver

1.
Hussain T, Bakouch HS, Rehman ZU, Shakil M, Shan Q, Liu Q. A Flexible Discrete Probability Model for Partly Cloudy Days. Rev. colomb. estad. [Internet]. 2025 Jan. 21 [cited 2025 Feb. 19];48(1):1-21. Available from: https://revistas.unal.edu.co/index.php/estad/article/view/113025

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