Title

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.

Comments

Journal of Data Science, Vol. 17, No. 3 (July 2019): 551-574. DOI.

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