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Classical Inference for the Five Parameter Exponentiated Weibull Distribution: Properties and Applications in Health and Reliability |
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PP: 469-492 |
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doi:10.18576/jsap/140310
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Author(s) |
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Alaa A. Khalaf,
Mundher A. Khaleel,
Ahlam H. Tolba,
Neveen S. Ahmed,
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Abstract |
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| Probability distribution has proven its usefulness in almost every discipline of human endeavors. In this paper, the Burr XII? Exponentiated Weibull of (BXIIEW) distributions was introduced, with an increasing hazard rate developed and extensively studied. Several statistical properties of the new model like moment, Skewness, kurtosis, incomplete moment, quantile function, and Renyi entropy were derived. Various estimation techniques, such as maximum likelihood, least squares, weighted least squares, maximum product of space, Anderson darling, and right-tailed Anderson darling, are used to estimate parameters. The simulation study on the proposed model confirmed the reliability and consistency of its parameters. Using three studies in Health and Reliability, the study further emphasizes the significance and practical uses of the BXIIEW. The proposed model shows better goodness-of-fit, according to our empirical results. weighed against competing models that were examined in this investigation.
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