Frecuency factor Kt estimation for the incomplete gamma probability distribution

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Figura 1. Valores del factor de frecuencia ‘KT’ para diferentes probabilidades de excedencia de la precipitación total mensual para la FDP Gamma Incompleta
Published: Apr 9, 2025
Keywords:
frequency factor, reduced variable model, exceedance probability

Main Article Content

Lorenzo Armando Aceves Navarro
Colegio de Postgraduados
https://orcid.org/0000-0002-9301-9223
Benigno Rivera Hernández
Universidad Popular de la Chontalpa
https://orcid.org/0000-0003-1713-4710
José Francisco Juárez López
Colegio de Postgraduados
https://orcid.org/0000-0002-7145-1509
Agrícola Arrieta Rivera
Tecnológico Nacional de México
https://orcid.org/0000-0003-4169-112X

Abstract

In the present paper, a procedure is presented to obtain the value of the frequency factor for the Incomplete Gamma Probability Distribution Function from their ​​shape (α) and scale (β) parameters. Using regression analysis, the rainfall data resulting from applying the model of the reduced variable were compared with those obtained with the Incomplete Gamma Function. Data from 53 years of total monthly rainfall from the meteorological station 27039 Samaria, Cunduacán, Tabasco were used to adjust and calibrate the values ​​of the frequency factor KT. Likewise, the values ​​of total monthly rainfall from five meteorological stations from various rainfed regions of Mexico were selected, with records ranging from 31 to 59 years. Data from the meteorological stations of Motul de Felipe Carrillo Puerto, Yucatán; Texcoco, State of Mexico; Suchiate, Chiapas; Zapopan, Jalisco; and Acaponeta, Nayarit to validate the resulting values ​​of the KT frequency factor. The Pearson correlation coefficient in the adjustment, calibration, and validation processes was higher than 0.997. Thus, the resulting KT values ​​had a very good fit and are reliable for calculating the probability of exceeding the total monthly rainfall for an Incomplete Gamma Function.

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How to Cite
Aceves NavarroL. A., Rivera HernándezB., Juárez LópezJ. F., & Arrieta RiveraA. (2025). Frecuency factor Kt estimation for the incomplete gamma probability distribution. Revista Cubana De Meteorología, 31(2), https://cu-id.com/2377/v31n2e06. Retrieved from http://rcm.insmet.cu/index.php/rcm/article/view/955
Issue
Vol 31 No 2 (2025): abril-junio
Section
Original Articles
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