Shock Models and Wear Processes

Failure distributions of shock models

“…• In 1), ii) and iii), we assume that In each case we get the same result as in [3] and we also show that the assumptions on the quantity , n~O…”

“…The general setup of thi s paper largely follows that of (1] and [ 3]. In [3] , the shock renewa l process was taken to be Poisson , that is , F was assumed to be exponential~ and in [1] , the shock process was assumed to be non-homogeneous Poisson .…”

“…In [3] , the shock renewa l process was taken to be Poisson , that is , F was assumed to be exponential~ and in [1] , the shock process was assumed to be non-homogeneous Poisson . In addition , we will app ly some of our results to the stochastic wear process introduced by Morey in [6].…”

“…Below , we note the major results of [3] , which can be extended , in some natura l fashion , to the case of a more genera l renewa l process .…”

A summary of replacement models with changing failure distributions

“…Consider the unit which fails because of damage due to shocks [4,8]: Shocks occur in a renewal process with mean interval (1/0). The probabilities that the unit fails at shock j is p } (/ = 1,2, .…”