On survival function of the generalized δ-shock model based on Polya process

Document Type : Original Scientific Paper

Author

Department of Statistics, Yazd University, 89175-741, Yazd, Iran

Abstract

The shock models have attracted a great deal of attention because of their important role in engineering systems. If the time between two successive shocks is less than the pre-defined threshold δ, the system fails, which is called the δ-shock model. In this article, we studied the generalized δ-shock model with two types of arrival shocks under a Polya process which has dependent interarrival times. The survival function and the mean lifetime of this system are obtained. Finally, some illustrative examples are presented.

Keywords