Designing Single Sampling Plans by Variables Using Predictive Distribution
-
A. Loganathan
,
R. Vijayaraghavan
Abstract
Sampling plans by variables represent a well-known tool of acceptance sampling and often it is said that their sampling efficiency/economy is better than that of sampling plans by attributes. However, a comparison of the two types of sampling plans is questionable, because the underlying aims are different. The decision criterion in the case of sampling plans by variables is the quality of the production process, while the decision criterion of sampling plans by attributes is based on lot quality. Using sampling plans by variables is tantamount to consider the parameters of the process distribution as random variables. Based on the history of the production process, suitable prior distributions may be selected to the process parameters. In this paper, using the normal approximation for the process distribution, single sampling plans by variables are derived assuming conjugate priors for the process parameters. The performance of these plans is compared with conventional single sampling plans by variables and single sampling plans by attributes.
© de Gruyter 2010
Articles in the same Issue
- Editorial
- Acceptance Sampling Plans from Truncated Life Tests Based on the Log-Logistic Distributions for Percentiles
- Book Review: Generalized Gaussian Error Calculus by Dr. rer. nat. Michael Grabe
- On the Robustness of Reliability Characteristic of Alpha-Distributed Lifetimes
- Binomial Poisson Distribution Revisited
- Empirical Evaluation of Stochastikon Magister
- Selection of Bayesian Double Sampling Inspection Plans by Attributes with Small Acceptance Numbers
- Analysis of a Complex System Modelled by a Marked Point Process and Assuming Vacations for a Repairman
- Optimal Replacement Policy Based on the Number of Down Times with Priority in Use
- Median Inactivity Time Function and its Reliability Properties
- Statistical Inference on Software Reliability Assuming Exponential Fault Correction Time
- On Testing Exponentiality Against DMRL Alternatives
- Designing Single Sampling Plans by Variables Using Predictive Distribution
Articles in the same Issue
- Editorial
- Acceptance Sampling Plans from Truncated Life Tests Based on the Log-Logistic Distributions for Percentiles
- Book Review: Generalized Gaussian Error Calculus by Dr. rer. nat. Michael Grabe
- On the Robustness of Reliability Characteristic of Alpha-Distributed Lifetimes
- Binomial Poisson Distribution Revisited
- Empirical Evaluation of Stochastikon Magister
- Selection of Bayesian Double Sampling Inspection Plans by Attributes with Small Acceptance Numbers
- Analysis of a Complex System Modelled by a Marked Point Process and Assuming Vacations for a Repairman
- Optimal Replacement Policy Based on the Number of Down Times with Priority in Use
- Median Inactivity Time Function and its Reliability Properties
- Statistical Inference on Software Reliability Assuming Exponential Fault Correction Time
- On Testing Exponentiality Against DMRL Alternatives
- Designing Single Sampling Plans by Variables Using Predictive Distribution
