The complementary odd Weibull power series distribution: properties and applications

Document Type : Original Article


Department of Mathematics, Behbahan Branch, Islamic Azad University, Behbahan, Iran


In this paper, a new four-parameters model called the complementary odd Weibull power
series (COWPS) distribution is defined and its properties are explored. This new distribution exhibits several new and well-known hazard rate shapes such as increasing, decreasing,
bathtub-shaped and J-shape hazard rate. Some of its mathematical properties are obtained
including moments, quantiles reliability, and moment generating functions. Maximum likelihood estimation method is used to estimate the vector of parameters. A simulation study
is presented to investigate the performance of the estimators. Finally, The usefulness of the
model has been demonstrated by applying it to a real-life dataset.


Main Subjects