Bayesian D-optimal design for regression-based stopping time of a system under the δ-shock model
نویسندگان
1 Department of Statistics, Razi University, Kermanshah, Iran
2 Department of Statistics, Razi University, Kermanshah, Iran
doi
10.22034/jsmta.2025.22970.1177چکیده
According to the δ-shock model, the system fails when the inter-arrival time between two successive shocks falls below a given critical threshold, δ. Therefore, the system's failure depends on both the probabilistic behavior of the inter-arrival times and the threshold δ. As a result, the factors affecting these two variables also influence the system's stopping time. In this paper, we consider a regression model with an explanatory factor for the system's stopping time and then apply the Bayesian D-optimal criterion to obtain optimal designs. Assuming a uniform prior, the obtained Bayesian optimal designs all have a general form corresponding to the design space.