A New Generalized Exponentiated Weibull Distribution: Properties and Applications
Keywords:
Weibull model, lifetime distributions, exponentiated generalized distribution, moments, maximum likelihood estimationAbstract
The Weibull distribution is the most important statistical distribution to study the data especially from reliability theory. We propose a new generalized exponentiated Weibull distribution which is developed by using the exponentiated Weibull distribution and exponentiated generalized Weibull distribution. Various well-known lifetime distributions are particular case of the proposed distribution. The failure rate of the newly constructed distribution is monotone and non-monotone such as bathtub, unimodal, increasing and decreasing. Thus, the proposed model seems more flexible. Some important mathematical properties of the proposed distribution are studied and simple expressions for the generating function, moments, mean deviations, entropy, and order statistics density are provided.
Some important aspects of the distribution are also discussed numerically and graphically. Parameters
are estimated by using popular technique of maximum likelihood. We apply newly developed model
to two real data sets and make comparison with some well-known sub-models. We explore that the
proposed model is more flexible and useful as compared to the particular sub-models for modeling
lifetime, skewed and survival time data.
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