Estimating the survival function of mixture komal distribution using a new hybrid metaheuristic algorithm

This paper introduces a new mixture of the Komal distribution with a single parameter β and derives key statistical properties, such as the survival function, probability density function, hazard function, and cumulative distribution function. In addition, the study proposes a new hybrid algorithm (PSOMO) by combining the Particle Swarm Optimization (PSO) algorithm with the Monkey (MO) algorithm to estimate the survival function based on the two distribution parameters. The simulation was used to compare the performance of the proposed algorithm with the standard algorithm (PSO and MO). The results showed that the proposed algorithm (PSOMO) achieves near perfect accuracy under simulated conditions for the survival function while achieving a lower mean square error than other estimation methods.