MARSHALL-OLKIN

This study introduces a new distribution known as Marshall-Olkin Lomax-Weibull Distribution, a novel lifetime model that extends the flexibility of an existing Lomax Weibull distribution in reliability analysis and survival studies. The proposed distribution combines the Marshall-Olkin transformation with the Lomax Weibull distributions resulting to an additional scale parameter added to the four parameter Lomax-Weibull Distribution, and enhancing its ability to model diverse hazard rate behaviours, including increasing, decreasing, bathtub, and upside-down bathtub shapes and monotonic and nonmonotonic failure data which could be obtained from complex systems used in diverse scientific fields. Some statistical properties of the proposed lifetime distribution are considered. Parameter estimation of the Marshall-Olkin Lomax-Weibull distribution is obtained using maximum likelihood Estimation. Comparison with other traditional models, applicability and flexibility of the new distribution in lifetime analysis is illustrated with the aid of a real life example. The real world applications demonstrate the superiority of the Marshall-Olkin Lomax Weibull distribution in fitting complex datasets compared to traditional models