New Modified Singh-Maddala Distribution: Development, Properties, Characterizations And Applications

Journal of Data Science

article

Fiaz Ahmad Bhatti¹  G.G. Hamedani²  Mustafa Ç. Korkmaz³  Munir Ahmad¹ 

[1] National College of Business Administration and Economics;Marquette University;Department of Measurement and Evaluation, Artvin Çoruh University

关键词: Moments;    Lambert W function;    Reliability;    Characterizations;   

DOI  :  10.6339/JDS.201907_17(3).0006

学科分类：土木及结构工程学

来源: JDS

【 摘 要 】

In this paper, a new five-parameter extended Burr XII model called new modified Singh-Maddala (NMSM) is developed from cumulative hazard function of the modified log extended integrated beta hazard (MLEIBH) model. The NMSM density function is left-skewed, right-skewed and symmetrical. The Lambert W function is used to study descriptive measures based on quantile, moments, and moments of order statistics, incomplete moments, inequality measures and residual life function. Different reliability and uncertainty measures are also theoretically established. The NMSM distribution is characterized via different techniques and its parameters are estimated using maximum likelihood method. The simulation studies are performed on the basis of graphical results to illustrate the performance of maximum likelihood estimates (MLEs) of the parameters. The significance and flexibility of NMSM distribution is tested through different measures by application to two real data sets.

【 授权许可】

CC BY