Bayesian estimation in the M/M/1 queueing model under a Type II censoring scheme based on fuzzy data

نویسندگان

1 Department of Statistics‎, ‎Payame Noor University‎, ‎Tehran‎, ‎Iran

2 Department of Statistics‎, ‎Payame Noor University‎, ‎Tehran‎, ‎Iran

doi
10.22034/jsmta.2025.21733.1144
چکیده

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.