In this article, the Bayesian estimation of the traffic intensity parameter for the M/M/1 queuing system is performed when it follows a beta prior distribution. The analysis is conducted under the general entropy and linear exponential loss functions, considering a Type II censoring scheme based on fuzzy data. Furthermore, the obtained estimators compared under these two loss functions using an extensive Monte Carlo simulation study. A real-world data set is also utilized to determine the more appropriate estimator.
Makhdoom, I. and Yaghoobzadeh Shahrastani, S. (2024). Bayesian estimation in the M/M/1 queueing model under a Type II censoring scheme based on fuzzy data. Journal of Statistical Modelling: Theory and Applications, 5(1), 131-143. doi: 10.22034/jsmta.2025.21733.1144
MLA
Makhdoom, I. , and Yaghoobzadeh Shahrastani, S. . "Bayesian estimation in the M/M/1 queueing model under a Type II censoring scheme based on fuzzy data", Journal of Statistical Modelling: Theory and Applications, 5, 1, 2024, 131-143. doi: 10.22034/jsmta.2025.21733.1144
HARVARD
Makhdoom, I., Yaghoobzadeh Shahrastani, S. (2024). 'Bayesian estimation in the M/M/1 queueing model under a Type II censoring scheme based on fuzzy data', Journal of Statistical Modelling: Theory and Applications, 5(1), pp. 131-143. doi: 10.22034/jsmta.2025.21733.1144
CHICAGO
I. Makhdoom and S. Yaghoobzadeh Shahrastani, "Bayesian estimation in the M/M/1 queueing model under a Type II censoring scheme based on fuzzy data," Journal of Statistical Modelling: Theory and Applications, 5 1 (2024): 131-143, doi: 10.22034/jsmta.2025.21733.1144
VANCOUVER
Makhdoom, I., Yaghoobzadeh Shahrastani, S. Bayesian estimation in the M/M/1 queueing model under a Type II censoring scheme based on fuzzy data. Journal of Statistical Modelling: Theory and Applications, 2024; 5(1): 131-143. doi: 10.22034/jsmta.2025.21733.1144
)