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, Renyi 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.
Highlights
In the theory of life testing, many different families of lifetime distribution have been developed for describing the reliability behaviour of the components or process
We introducing a new lifetime distribution called the transmuted new generalized inverse weibull distribution by using quadratic rank transmutation map (QRTM) technique studied by Shaw et al (2007)
We examine the use of the use of the Transmuted new generalized inverse Weibull (TNGIW) distribution for modelling the fatigue fracture life of aluminium data
Summary
In the theory of life testing, many different families of lifetime distribution have been developed for describing the reliability behaviour of the components or process. Khan and King (2016) proposed the new generalized inverse Weibull (NGIW) distribution and investigated many structural properties for modeling reliability engineering application. Khan and King (2012) proposed the modified Inverse Weibull distribution and presented a comprehensive description of the mathematical properties of this model along with its reliability behavior. Using quadratic rank transmutation map (QRTM) technique, we introduce the transmuted the new generalized inverse Weibull (NGIW) distribution by introducing a new parameter λ that would offer more flexibility in the proposed model. Khan and King (2013) studied the flexibility of the transmuted generalized Inverse Weibull distribution with application to reliability data. Khan et al (2014a, 2014b) proposed the transmuted inverse Weibull distribution and studied its various structural properties with an application to survival data.
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