The Marshall-Olkin Pranav distribution: Theory and applications

The current paper presented new two-parameter life processes distribution, the Marshall-Olkin Pranav (MOEP) distribution. This study combines the Marshall-Olkin method with the Pranav distribution to produce a more accessible and flexible model for data survival techniques. Some of its critical statistical features are presented in this study. For instance, we mentioned its survival, hazard, reversed hazard, and cumulative hazard rate function. Then we discussed its Moment generating functions, The characteristic function, Incomplete moments, R`enyi and Entropies, and stochastic orderings. The research utilized maximization of chance in estimating parameters. These tests are done through simulations to achieve the desired results. With an assurance that the combined model has larger applications, such as in the strength of airplane glass and survival data set, the two real-world examples are given to explain the great possibility and validity of the extended distribution. These results demonstrate the usefulness of the proposed distribution and the need for more tilt parameters.