A new extended δ‐shock model with the consideration of shock magnitude.

In this article, a new δ$$ \delta $$‐shock model that takes into account the magnitude of shocks is introduced and studied from reliability perspective. According to the new model, the system breaks down if either a shock after non‐critical shock occurs in a time length less than δ1$$ {\delta}_1 $$ or a shock after a critical shock occurs in a time length less than δ2,$$ {\delta}_2, $$ where δ1<δ2$$ {\delta}_1<{\delta}_2 $$. The distribution of the system's lifetime is studied for both discrete and continuous intershock time distributions. It is shown that a new model is useful to describe a certain cold standby repairable system. [ABSTRACT FROM AUTHOR]