Abstract
SYNOPTIC ABSTRACTA generalized version of the three-parameter transmuted inverse Weibull distribution is introduced in this article. This distribution generalizes the following distributions: (a) transmuted inverse exponential, (b) transmuted inverse Rayleigh, (c) inverse Weibull. The properties of the transmuted inverse Weibull distribution are discussed. This model is capable of modeling various shapes of aging and failure criteria. Here we present the relationship between shape parameter, probability density function, cumulative distribution function, reliability function, hazard function, percentile life, mean, variance, coefficient of variation, coefficient of skewness, and coefficient of kurtosis. We derive the moments, geometric mean, harmonic mean, entropy, mean deviation, and examine the order statistics with their moments. We propose the method of maximum likelihood for estimating the model parameters and obtain the observed information matrix. The usefulness of the new distribution is shown by application to real data and comparison with other distributions.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: American Journal of Mathematical and Management Sciences
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
