A New Extension on the Lomax Distribution with Its Applications toFailure Times Data

A new four-parameter model called the odd Lomax geometric (OLG) distribution is defined and its properties are explored in this paper. This new distribution exhibits several well-known hazard rate shapes such as increasing, decreasing, and J-shaped hazard rates. Some of its mathematical properties are obtained including moments, quantiles reliability, and moment generating functions. The 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 real-life data.