Optimal curtailed Bayesian sampling plans for exponential distributions with Type-Ⅰ hybrid censored samples

摘要

This paper studies a method for constructing a curtailed Bayesian sampling plan with Type-I hybrid censored samples. Based on the Bayesian sampling plan (BSP) of Liang and Yang (2013), a curtailed Bayesian sampling plan (CBSP) is constructed through an online curtailed censoring process. We show that the resulting associated curtailed Bayes decision function is equivalent to the Bayes decision function of Liang and Yang (2013). It is shown that the risk of CBSP is always less than or equal to that of BSP. Monte Carlo simulations are carried out to illustrate the performance between the two sampling plans BSP and CBSP. Numerical results illustrate that the risk of CBSP has better performance than that of BSP, and hence the CBSP is recommended.