Abstract
This paper examines the potential usefulness of the transmuted modified inverse Weibull distribution. This four-parameter distribution holds eleven life time distributions as special cases. Theoretical properties of the transmuted modified inverse Weibull distribution are studied; which includes the quantile, median, entropy, mean deviations, mean, geometric mean and harmonic mean. The estimation of parameters is obtained by using the method of maximumlikelihood. An application to real dataset is provided to show the better fit of the transmuted modified inverse Weibull distribution.
Highlights
In the field of reliability, the well-known inverse Weibull family of distributions has proved to be of considerable interest in modeling various mechanism with instantaneous failure rates. Elbatal (2013) introduced and studied the transmuted modified inverse Weibull distribution and formulated some of its mathematical properties
Many researchers have proposed transmuted family of lifetime distributions by using quadratic rank transmuted map (QRTM) technique such as: transmuted Weibull distribution by Gokarna el al. (2011), the transmuted modified Weibull distribution by Khan and King (2013), the transmuted inverse Weibull distribution by Khan, King and Hudson (2014a) and Khan and King (2014b), Elbatal el al. (2014) proposed the transmuted exponentiated Frechet distribution with Applications and the transmuted G-family of distribution was introduced by Bourguignon et al (2016)
This paper focuses on the mathematical properties of the transmuted modified inverse Weibull distribution along with its reliability behavior
Summary
In the field of reliability, the well-known inverse Weibull family of distributions has proved to be of considerable interest in modeling various mechanism with instantaneous failure rates. Elbatal (2013) introduced and studied the transmuted modified inverse Weibull distribution and formulated some of its mathematical properties. Elbatal (2013) introduced and studied the transmuted modified inverse Weibull distribution and formulated some of its mathematical properties. The quadratic rank transmuted map (QRTM) technique was used to develop the transmuted modified inverse Weibull distribution in order to generate a flexible lifetime model. The random variable has the modified inverse Weibull distribution, if its cumulative distribution function (cdf) is given by. Elbatal (2013) introduced the transmuted modified inverse Weibull distribution by using the quadratic rank transmutation map technique pioneered by Shaw et al (2009).
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