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Erschienen in: Annals of Data Science 4/2020

29.05.2020

The Maxwell–Weibull Distribution in Modeling Lifetime Datasets

verfasst von: Aliyu Ismail Ishaq, Alfred Adewole Abiodun

Erschienen in: Annals of Data Science | Ausgabe 4/2020

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Abstract

A MaxwellWeibull distribution was introduced by using Maxwell generalized family of distributions. The distribution, density, survival, hazard and quantile functions of the proposed Maxwell–Weibull distribution were defined. Its statistical properties were derived. The maximum likelihood method of estimation was used to estimate its parameters. A simulation study was carried out to demonstrate the potentiality of the maximum likelihood estimates. Two lifetime data sets were used to assess the performance of the proposed Maxwell–Weibull distribution. Our finding revealed that the Maxwell–Weibull distribution suited the end yearly selling Nigerian Naira to Japanese Yen exchange rates and strengths of glass fibers data sets compared to the other competing distributions as it has maximum value of log-likelihood and least values of statistic criteria including AIC, CAIC and HQIC.

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Metadaten
Titel
The Maxwell–Weibull Distribution in Modeling Lifetime Datasets
verfasst von
Aliyu Ismail Ishaq
Alfred Adewole Abiodun
Publikationsdatum
29.05.2020
Verlag
Springer Berlin Heidelberg
Erschienen in
Annals of Data Science / Ausgabe 4/2020
Print ISSN: 2198-5804
Elektronische ISSN: 2198-5812
DOI
https://doi.org/10.1007/s40745-020-00288-8

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