The exponentiated half logistic-log-logistic Weibull distribution: Model, properties and applications

We develop a generalized distribution, namely, exponentiated half logistic log-logistic Weibull distribution. Several structural properties of the distribution including expansion of density, distribution of order statistics, Rényi entropy, moments, probability weighted moments, quantile function, generating function, and maximum likelihood estimates were derived. A simulation study to examine the consistency of the maximum likelihood estimates was conducted. Finally, real data examples are presented to illustrate the applicability and usefulness of the proposed model.

Keywords:

Generalized distribution , Half Logistic Distribution , Log-logistic distribution , Maximum likelihood estimation , Weibull distribution