A Three-Component Additive Weibull Distribution and Its Reliability Implications

We consider a new failure time distribution by combining three Weibull distributions. The proposed exhibits decreasing, increasing, and bathtub-shaped rate functions. Some statistical properties of the are presented. maximum likelihood method is used to estimate parameters, reliability, functions distribution, uncertainties estimates obtained using asymptotic confidence intervals. cross-entropy method, stochastic optimization procedure, find log-likelihood function. superiority demonstrated on two benchmark datasets.