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- Title
A New Cubic Transmuted Inverse Weibull Distribution: Theory and Applications.
- Authors
Tusharuzzaman Tushar, Md.; Shahbaz, Saman Hanif; Mahabubur Rahman, Md.; Shahbaz, Muhammad Qaiser
- Abstract
This paper introduces a new cubic transmutation of the inverse Weibull distribution, known as a cubic transmuted inverse Weibull distribution. The model is thought to be useful for the analysis of complex life data, modeling failure times, accessing product reliability, and many other fields like economics, hydrology, biology, and engineering. Some statistical features of the proposed distribution are explored. These include moments, generating functions, quantile functions, reliability functions, and hazard rate functions. The distribution of order statistics for the proposed cubic transmuted inverse Weibull distribution is also studied. The maximum likelihood estimation approach is used to estimate the model parameters. The effectiveness of the estimation is investigated through extensive simulation study. The suitability of the proposed distribution has been studied by using five real-life datasets. It is found that the proposed distribution is the most suitable fit for the used data sets.
- Subjects
ORDER statistics; WEIBULL distribution; GENERATING functions; MAXIMUM likelihood statistics; HAZARD function (Statistics); PARAMETER estimation
- Publication
Pakistan Journal of Statistics & Operation Research, 2024, Vol 20, Issue 1, p85
- ISSN
1816-2711
- Publication type
Article
- DOI
10.18187/pjsor.v20i1.4448