An Alternative Version of Half-Logistic Distribution: Properties, Estimation and Application
Keywords:
Moments, entropy, order statistics, Anderson-Darling estimation, real dataAbstract
In this paper, we derived a new version of half-logistic distribution by using standard half-logistic distribution and a one-parameter family introduced by Zhao et al. (2020). The new model’s statistical properties were determined mathematically. The beauty and the novelty of the new model are that it was proved that it has three more shapes of hazard rate function than the existing one in the literature, which has only an increasing shape. The new model parameter estimation efficiency was checked by simulated data sets and different classical estimation methods. Also, we showed numerically that the behavior of our proposed model parameter estimation is better than the existing one in the literature. A real data set was analyzed, and it was discovered that the proposed model outperforms the half-logistic distribution and other competing models for fitting this data. Finally, we showed that the exponentiated version of our proposed model is better than the exponentiated half-logistic distribution.
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