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

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

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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 gotrax handlebar 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 click here 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.