Fastel Chipepa - Department of Mathematics and Statistical Sciences, Botswana International University of Science and Technology
Broderick Oluyede - Department of Mathematics and Statistical Sciences, BIUST, Palapye, BW
Boikanyo Makubate - Department of Mathematics and Statistical Sciences, BIUST, Palapye, BW

We propose a new generalized family of distributions called the odd generalized half logistic Weibull-G family of distributions. We also considered some special cases when the baseline distribution are uniform, Weibull and normal distributions. Structural properties of the new family of distributions including expansion of density, distribution of order statistics, Rényi entropy, moments, probability weighted moments, quantile and generating functions, and maximum likelihood estimates were derived. A characterization based on conditional expectation is presented. A simulation study to examine efficiency of the maximum likelihood estimates is also conducted. Finally, a real data example is presented to illustrate the applicability and usefulness of the proposed model.

Half Logistic Distribution, Half Logistic-G Distribution, Weibull-G Distribution, Maximum likelihood estimation