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Half Logistic Inverted Weibull Distribution: Properties and Applications |
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PP: 161-178 |
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doi:10.18576/jsapl/090306
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Author(s) |
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Govinda Prasad Dhungana,
Vijay Kumar,
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Abstract |
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| Three parameters, half logistic inverted Weibull distribution is developed by compounding type I half logistic-G family with inverted Weibull distribution. The proposed model is unimodal and positively skewed whereas the hazard rate function is increasing and monotonically decreasing or inverted bathtub and reverse J shaped. Explicit expressions of reliability/ survival function, hazard rate function, revised hazard rate function, cumulative hazard rate function, quantile function, asymptotic behavior with mode, skewness, kurtosis, moments, residual life function, moment generating function, Re ́nyi entropy, and q entropy, probability-weighted moment and order statistics are investigated of the proposed model. The value of the parameters with their confidence interval is obtained from the maximum likelihood estimation. To verify the finding of MLEs, we have done a simulation study and observed that MSEs for individual parameters fall to decrease as the size of the sample increases, emphasizing the effectiveness of the method of maximum likelihood estimation. Finally, two real data sets were used to validate the various theoretical findings. We observe that the HLIW distribution provides a better fit as compared to some other known distributions. Hence, the proposed model is an alternative model for survival, reliability, or lifetime time data analyses.
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