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Abstract
A new lifetime model, which extends the Weibull distribution using the generalized transmuted-G family proposed by Nofal et al. (2016), called the generalized transmuted Weibull distribution is proposed and studied.
Various of its structural properties including ordinary and incomplete moments, quantile and generating functions, probability weighted moments, RØnyi and q-entropies and order statistics are derived. The maximum likelihood method is used to estimate the model parameters. The new
distribution is applied to two real data sets to illustrate its ‡exibility. It can serve as an alternative model to other lifetime models available in the literature for modeling positive real data in many areas.
Various of its structural properties including ordinary and incomplete moments, quantile and generating functions, probability weighted moments, RØnyi and q-entropies and order statistics are derived. The maximum likelihood method is used to estimate the model parameters. The new
distribution is applied to two real data sets to illustrate its ‡exibility. It can serve as an alternative model to other lifetime models available in the literature for modeling positive real data in many areas.
Keywords
Generalized Transmuted-G Family
Order Statistics
Probabilityity Weighted Moments
Maximum Likelihood
Moments.
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How to Cite
Nofal, Z. M., & El Gebaly, Y. M. (2017). The Generalized Transmuted Weibull Distribution for Lifetime Data. Pakistan Journal of Statistics and Operation Research, 13(2), 355-378. https://doi.org/10.18187/pjsor.v13i2.1743
