0.Treated as a function of x, the hazard rate is also called failure rate, instantaneous death rate, force of mortality and intensity function in other disciplines such as survival analysis, actuarial science, demography, extreme value theory and bio-sciences.Although in the continuous case, the concept of hazard rate dates back to historical … The degradation of system reliability comes from different failure mechanisms, in particular those related to (1) random failures, (2) cumulative damage, (3) man–machine interference, and (4) adaptation. where R(t) is the reliability function. The hazard rate function , also known as the force of mortality or the failure rate, is defined as the ratio of the density function and the survival function.That is, , where is the survival model of a life or a system being studied. Characteristics of a hazard function are frequently associated with certain products and applications. 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