TY - JOUR
AU - Shrahili, M.
AU - Muhammad, Mustapha
AU - Elbatal, I.
AU - Muhammad, Isyaku
AU - Bouchane, Mouna
AU - Abba, Badamasi
PY - 2023/03/12
Y2 - 2024/11/07
TI - Properties and Applications of the Type I Half-logistic Nadarajah-Haghighi Distribution
JF - Austrian Journal of Statistics
JA - AJS
VL - 52
IS - 2
SE - Articles
DO - 10.17713/ajs.v52i2.1363
UR - https://ajs.or.at/index.php/ajs/article/view/1363
SP - 1-21
AB - <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>
ER -