Properties and Applications of the Type I Half-logistic Nadarajah-Haghighi Distribution

Austrian Journal of Statistics

article

M. Shrahili¹  MustaphaMuhammad²  I. Elbatal³  Isyaku Muhammad⁴  MounaBouchane⁵  Badamasi Abba⁶ 

[1] King Saud University;Hebei Normal University Bayero University Kano;Imam Mohammad Ibn Saud Islamic University Cairo University;Northeastern University Kano State Polytechnic;Hebei Normal University;Central South University Yusuf Maitama Sule University

关键词: type I half logistic-G;    Nadarajah-Haghighi distribution;    moments;    entropy;    maximum likelihood estimation;   

DOI  :  10.17713/ajs.v52i2.1363

学科分类：医学（综合）

来源: Austrian Statistical Society

【 摘 要 】

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,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 likelihoodestimation (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 tworeal data applications to demonstrate the superior performance of the T IHL N H in terms of fit over some other existing lifetime models.

【 授权许可】

CC BY