This paper introduces a new lifetime distribution, so called odd log-logistic exponentiated
Weibull distribution. The new distribution has the advantage of being capable of modelling
various shapes of aging and failure criteria. We derive various of its structural properties
including ordinary and incomplete moments, quantile and generating functions and order
statistics. The new density function can be expressed as a linear mixture of exponentiated
Weibull densities. We propose a log-linear regression model using a new distribution, the
log-odd log-logistic exponentiated Weibull distribution. The maximum likelihood method
is used to estimate the model parameters. Simulation results to assess the performance of
the maximum likelihood estimation are discussed. We prove empirically the importance and
flexibility of the new model by modelling four real datasets. |
