A Reliability Model Based on the Incomplete Generalized Integro-Exponential Function

Juan M. Astorga, Jimmy Reyes, Karol I. Santoro, Osvaldo Venegas, Héctor W. Gómez
2020 Mathematics  
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
more » ... 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.
doi:10.3390/math8091537 fatcat:rhdctaf2tff6tneey5eiw2wdym