On the development of a successive damage shock model based on Palm probability

Given that a system is susceptible to habitual shocks, each shock causing damage to the system leading to ultimate system failure on receipt of a threshold number of shocks (which is a random variable); the problem comprises of obtaining the expected survival time of the system right from the point it receives the first shock. The technique of Palm probability has been employed to develop the model and estimations of the parameters have been made by the method of moments.