A New Class of Life Distributions with Multiple Change Points in Failure Rate Function

In many real life scenarios, system reliability depends on dynamic stress-strength interference, where shocks appear at random time points and the strength of a system varies over time. The resulting life distributions exhibit decreasing, increasing, upside-down and bathtub failure rate depending on the nature of strength function. This class of life distributions is useful for reliability analysis of life time data with upsidedown and bathtub failure rate. In particular, this new class of distributions can be used to model life time data arising from a distribution with multiple change points in failure rate function. Simulation based algorithm for reliability calculation is proposed and illustrated with numerical examples.