@article{Shrahili_Muhammad_Elbatal_Muhammad_Bouchane_Abba_2023, title={Properties and Applications of the Type I Half-logistic Nadarajah-Haghighi Distribution}, volume={52}, url={https://ajs.or.at/index.php/ajs/article/view/1363}, DOI={10.17713/ajs.v52i2.1363}, abstractNote={<p>A new three-parameter distribution called the type I half-logistic Nadarajah-Haghighi (T IHL N H ) is proposed. We discussed some important mathematical and statistical properties of the new model such as an explicit form of its r th moment, mean deviations,<br />quantile function, Bonferroni and Lorenz curves. The Shannon entropy and Renyi entropy are computed, the expression for the Kullback-Leibler divergence measure is provided. The model parameters estimation was approached by the maximum likelihood<br />estimation (MLE), and the information matrix is obtained. The finite sample properties of the MLEs are investigated numerically by simulation studies; by examining the bias and mean square error of the estimators, and the results was satisfactory. We used two<br />real data applications to demonstrate the superior performance of the T IHL N H in terms of fit over some other existing lifetime models.</p>}, number={2}, journal={Austrian Journal of Statistics}, author={Shrahili, M. and Muhammad, Mustapha and Elbatal, I. and Muhammad, Isyaku and Bouchane, Mouna and Abba, Badamasi}, year={2023}, month={Mar.}, pages={1–21} }