The Marshall-Olkin Weibull-Lomax Distribution: Properties and Applications

We are introducing a new flexible five parameters lifetime distribution called Marshall-Olkin Weibull-Lomax distribution. Some properties of the distribution such as the quantile function, moments, order statistics are derived. The unknown parameters of the new distribution are estimated using the maximum likelihood method. Monte Carlo simulation study is carried out to estimate the parameters and the performance of the estimates is judged via the average biases , mean squared error values and confidence interval. The usefulness of the proposed model is illustrated via real-life data set.