Some Stochastic Stress-Strength Processes

General engineering stress-strength relationships are studied in this paper as they fit a bivariate continuous-time random process. The reliability is then classed into time bands of durability, wear, and fatigue. The particular processes are composed of extreme-value random variates with monotonic time parameters such that the stress is a stochastically increasing r. v. and the strength is a stochastically decreasing r.v.