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Abstract
This paper introduces the transmuted new generalized inverse Weibull distribution by using the quadratic rank transmutation map (QRTM) scheme studied by Shaw et al. (2007). The proposed model contains the twenty three lifetime distributions as special sub-models. Some mathematical properties of the new distribution are formulated, such as quantile function, Rényi entropy, mean deviations, moments, moment generating function and order statistics. The method of maximum likelihood is used for estimating the model parameters. We illustrate the flexibility and potential usefulness of the new distribution by using reliability data.
Keywords
New generalized inverse Weibull distribution
moment estimation
moment generating function
order statistics
maximum likelihood estimation.
Article Details
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How to Cite
Khan, M. S., King, R., & Hudson, I. L. (2017). Transmuted New Generalized Inverse Weibull Distribution. Pakistan Journal of Statistics and Operation Research, 13(2), 277-296. https://doi.org/10.18187/pjsor.v13i2.1523
