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A New Extremely Flexible Version of The Exponentiated Weibull Model: Theorem and Applications to Reliability and Medical Data Sets
Author(s):
1. Mohamed Aboraya: Department of Applied Statistics and Insurance, Damietta University, Egypt.
Abstract:
In this work, a new lifetime model is introduced and studied. The major justification for the practicality of the new model is based on the wider use of the exponentiated Weibull and Weibull models. We are also motivated to introduce the new lifetime model since it exhibits decreasing, upside down-increasing, constant, increasing-constant and J shaped hazard rates also the density of the new distribution exhibits various important shapes. The new model can be viewed as a mixture of the exponentiated Weibull distribution. It can also be considered as a suitable model for fitting the symmetric, left skewed, right skewed and unimodal data. The importance and flexibility of the new model is illustrated by four read data applications.
Page(s): 195-215
DOI: DOI not available
Published: Journal: Pakistan Journal of Statistics and Operation Research, Volume: 15, Issue: 1, Year: 2019
Keywords:
maximum likelihood estimation , Generating Function , Moments , BurrHatke Differential Equation , Exponentiated Weibull
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