a new extension on the lomax distribution with its applications tofailure times data

A new four-parameter model called the odd lomax geometric (olg) distributionis defined and its properties are explored in this paper. this new distributionexhibits several well-known hazard rate shapes such as increasing, decreasing, andj-shaped hazard rates. some of its mathematical properties are obtained includingmoments, quantiles reliability, and moment generating functions. the maximum likelihoodestimation method is used to estimate the vector of parameters. a simulationstudy is presented to investigate the performance of the estimators. finally, the usefulnessof the model has been demonstrated by applying it to real-life data.