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Annals of Data Science

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26-04-2021

Modified Beta Inverse Flexible Weibull Extension Distribution

Authors: Abdul Ghaniyyu Abubakari, Claudio Chadli Kandza-Tadi, Edwin Moyo

Published in: Annals of Data Science | Issue 3/2023

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Abstract

In this article, a new five parameter distribution, known as the modified beta flexible Weibull extension distribution, is derived and studied. Several properties of the distribution including the quantile function, moments, moment generating function, entropies and order statistics are derived. The density function and hazard rate function plots for different parameter values are obtained. It is observed that the density function plots of the distribution exhibit varying shapes and degrees of kurtosis. Also, the hazard rate function plots exhibit different shapes including decreasing, increasing, bathtub, J and reserved J shapes. The parameter estimators of the distribution are obtained using maximum likelihood estimation. The estimators are found to be consistent via a simulation study. Finally, three data sets are used to assess the usefulness of the distribution. It is observed that the distribution can serve as an alternative to modelling failure time data with different characteristics.

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Title: Modified Beta Inverse Flexible Weibull Extension Distribution
Authors: Abdul Ghaniyyu Abubakari
Claudio Chadli Kandza-Tadi
Edwin Moyo
Publication date: 26-04-2021
Publisher: Springer Berlin Heidelberg
Published in: Annals of Data Science / Issue 3/2023
Print ISSN: 2198-5804
Electronic ISSN: 2198-5812
DOI: https://doi.org/10.1007/s40745-021-00330-3

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