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- Title
Modified Maximum Likelihood Estimation of the Inverse Weibull Model.
- Authors
Kayid, Mohamed; Alshehri, Mashael A.
- Abstract
The inverse Weibull model is a simple and flexible model used for survival analysis, reliability theory, and other scientific fields. The main problem in this context is the estimation of the model parameters. In this study, a modified version of the maximum likelihood estimator is presented. The idea behind it is that the likelihood equation for the shape parameters of the model is biased; therefore, an unbiased version was defined. The new estimator is based on the definition of an unbiased likelihood equation. Simulation results show that the new modified estimator for the shape parameter has a smaller mean square error. Finally, the proposed estimator and the maximum likelihood estimator were compared in the analysis of the three real data sets.
- Subjects
ENGINEERING reliability theory; SURVIVAL analysis (Biometry)
- Publication
Axioms (2075-1680), 2023, Vol 12, Issue 10, p961
- ISSN
2075-1680
- Publication type
Article
- DOI
10.3390/axioms12100961