Marshall-Olkin Log-Logistic Extended Weibull Distribution: Theory, Properties and Applications

Journal of Data Science

article

Lornah Lepetu¹  Broderick O. Oluyede²  Boikanyo Makubate¹  Susan Foya³  Precious Mdlongwa¹ 

[1] Botswana International University of Science and Technology;Georgia Southern University;First National Bank

关键词: Marshall-Olkin;    Log-Logistic Weibull distribution;   

DOI  :  10.6339/JDS.201710_15(4).00007

学科分类：土木及结构工程学

来源: JDS

【 摘 要 】

Marshall and Olkin (1997) introduced a general method for obtaining more flexible distributions by adding a new parameter to an existing one, called the Marshall-Olkin family of distributions. We introduce a new class of distributions called the Marshall - Olkin Log-Logistic Extended Weibull (MOLLEW) family of distributions. Its mathematical and statistical properties including the quantile function hazard rate functions, moments, conditional moments, moment generating function are presented. Mean deviations, Lorenz and Bonferroni curves, R´enyi entropy and the distribution of the order statistics are given. The Maximum likelihood estimation technique is used to estimate the model parameters and a special distribution called the Marshall-Olkin Log Logistic Weibull (MOLLW) distribution is studied, and its mathematical and statistical properties explored. Applications and usefulness of the proposed distribution is illustrated by real datasets.

【 授权许可】

CC BY