doi:10.1016/S0167-9473(02)00330-4
Copyright © 2002 Elsevier B.V. All rights reserved.
Bayesian sampling plans for exponential distribution based on uniform random censored data
Wen-Tao Huang
,
, a and Yu-Pin Linb
a Department of Management Sciences and Decision Making, Tamkang University, No. 151, Ying-Chuan Road, Tamsui 251, Taiwan, ROC
b Department of International Trade, Kuang Wu Institute of Technology, Taipei 112, Taiwan, ROC
Received 31 March 2001;
accepted 31 October 2002. ;
Available online 23 November 2002.
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Abstract
The problem of a single sampling plan with polynomial loss for the exponential distribution based on uniformly distributed random censored data has been considered. A Bayes sampling plan is derived under various schemes of censoring time. It is specially focused on a quadratic loss and an unit time cost is included in the loss. Some optimal Bayes solutions are tabulated and some numerical comparisons between the proposed plan and a known plan under special loss are also made. It is shown that the optimal solutions of the known plan are not Bayes in general.
Author Keywords: Bayes sampling plan; Exponential population; Uniform random censoring
Fig. 1. Under FCT scheme,
=0.25, plots of Bayes risk r for various C1 keeping other parameters fixed.
Fig. 2. Under FCT scheme,

=2.0, plots of Bayes risk
r for various
C1 keeping other parameters fixed.
Fig. 3. Under
t-FCT scheme,

=0.25,
C1=0.5,
C3=60, plots of Bayes risk
r for various
C2 keeping other parameters fixed.
Fig. 4. Under
t-FCT scheme,

=0.25,
C2=0.5,
n=10, plots of Bayes risk
r with respect to
C1 for various
C3 keeping other parameters fixed.
Table 1. Under FCT, optimal solutions (nB1,δB1) and its Bayes risks

Table 2. Under t-FCT, optimal solutions (nB2,tB2,δB2) and its Bayes risks

Table 3. Under
-FCT, optimal solutions (nB3,
B3,δB3) and its Bayes risks

Table 4. Under FUCT, optimal solutions (nB4,tB4,
B4,δB4) and its Bayes risks

Table 5. Under FCT, optimal solutions (n0,T0) and its Bayes risks of [Lam and Choy 1995] and (nB1,δB1) with C2=0
