A Reliability Model Based on the Incomplete Generalized Integro-Exponential Function
A Reliability Model Based on the Incomplete Generalized Integro-Exponential Function
Authors
Astorga, Juan M.
Reyes, Jimmy
Santoro, Karol, I
Venegas, Osvaldo
Gomez, Hector W.
Reyes, Jimmy
Santoro, Karol, I
Venegas, Osvaldo
Gomez, Hector W.
Authors
Date
Datos de publicaciĆ³n:
MATHEMATICS,Vol.8,,2020
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Abstract
This article introduces an extension of the Power Muth (PM) distribution for modeling positive data sets with a high coefficient of kurtosis. The resulting distribution has greater kurtosis than the PM distribution. We show that the density can be represented based on the incomplete generalized integro-exponential function. We study some of its properties and moments, and its coefficients of asymmetry and kurtosis. We apply estimations using the moments and maximum likelihood methods and present a simulation study to illustrate parameter recovery. The results of application to two real data sets indicate that the new model performs very well in the presence of outliers.