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.
Farhadian, R. and Jafari, H. (2024). Bayesian D-optimal design for regression-based stopping time of a system under the δ-shock model. Journal of Statistical Modelling: Theory and Applications, 5(2), 165-174. doi: 10.22034/jsmta.2025.22970.1177
MLA
Farhadian, R. , and Jafari, H. . "Bayesian D-optimal design for regression-based stopping time of a system under the δ-shock model", Journal of Statistical Modelling: Theory and Applications, 5, 2, 2024, 165-174. doi: 10.22034/jsmta.2025.22970.1177
HARVARD
Farhadian, R., Jafari, H. (2024). 'Bayesian D-optimal design for regression-based stopping time of a system under the δ-shock model', Journal of Statistical Modelling: Theory and Applications, 5(2), pp. 165-174. doi: 10.22034/jsmta.2025.22970.1177
CHICAGO
R. Farhadian and H. Jafari, "Bayesian D-optimal design for regression-based stopping time of a system under the δ-shock model," Journal of Statistical Modelling: Theory and Applications, 5 2 (2024): 165-174, doi: 10.22034/jsmta.2025.22970.1177
VANCOUVER
Farhadian, R., Jafari, H. Bayesian D-optimal design for regression-based stopping time of a system under the δ-shock model. Journal of Statistical Modelling: Theory and Applications, 2024; 5(2): 165-174. doi: 10.22034/jsmta.2025.22970.1177
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