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ON THE COMPLEMENTARY TOPP-LEONE GEOMETRIC FAMILY OF DISTRIBUTIONS: PROPERTIES AND REGRESSION
Keywords:
geometric, birth weight, regression, estimation.DOI:
https://doi.org/10.17654/0972361722046Abstract
The developments of generalized classes of distributions have gained a lot of attention in recent time owing to desirable properties they exhibit when modeling data sets. In this study, the complementary Topp-Leone geometric family of distributions is developed and its statistical properties are studied. Four special distributions are developed using the new family and investigation of the shapes of their hazard rate functions using some selected parameter values revealed that they exhibit different kinds of monotonic and non-monotonic shapes. The applications of the special distribution to lifetime data sets revealed that the complementary Topp-Leone geometric Weibull (CTLGW) distribution provides better fit to the given data sets. The log CTLGW regression model is developed and its application is illustrated using data on birth weight of babies.
Received: March 7, 2022
Revised: April 9, 2022
Accepted: April 28, 2022
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