New Modified Singh-Maddala Distribution: Development, Properties, Characterizations and Applications
Document Type
Article
Publication Date
7-2019
Publisher
Columbia University Department of Statistics
Source Publication
Journal of Data Science
Source ISSN
1680-743X
Original Item ID
10.6339/JDS.201907_17(3).0006
Abstract
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.
Recommended Citation
Bhatti, Fiaz Ahmad; Hamedani, Gholamhossein G.; Korkmaz, Mustafa Ç.; and Ahmad, Munir, "New Modified Singh-Maddala Distribution: Development, Properties, Characterizations and Applications" (2019). Mathematical and Statistical Science Faculty Research and Publications. 60.
https://epublications.marquette.edu/math_fac/60
Comments
Published version. Journal of Data Science, Vol. 17, No. 3 (July 2019): 551-574. DOI. © Columbia University Department of Statistics. Used with permission.