Construction and Evaluation of Performance Measures for Bayesian Chain Sampling Plan (BChSP-1)

K. K., Suresh and K., Pradeepa Veerakumari (2007): Construction and Evaluation of Performance Measures for Bayesian Chain Sampling Plan (BChSP-1). Published in: Acta Ciencia Indica , Vol. 33, No. 4 (2007): pp. 16-35.

Abstract

Bayesian Acceptance Sampling Approach is associated with utilization of prior process history for the selection of Distributions (viz., Gamma Poisson, Beta Binomial) to describe the random fluctuations involved in Acceptance Sampling. Calvin (1984) provides procedures and tables for implementing Bayesian Sampling Plan. Dodge (1955) has proposed Chain Sampling Plan in which Chain Sampling Plan allows significant reduction in sample size and the condition for a continuing succession of lots from a stable and trusted supplier. Usha (1991) has proposed procedure for Bayesian Chain Sampling Plan. Latha (2002) has further studied Bayesian Chain Sampling Plan – 1 involving designing of Bayesian Chain Sampling Plan indexed through AQL, LQL, OAOQL, and MAAPD. The main thrust of this paper is to account for the possibility of dependence among the items of a sample. This paper mainly relates with the procedure for designing Bayesian Chain Sampling Plan indexed with relative slopes at acceptable and limiting quality levels. Tables and Procedures are also provided for the selection of the parameters for the plan with specified h1, h0 and h2 (Relative Slopes). Numerical Illustration are also provided for the shop floor applications of these procedures.

• Item Type: MPRA Paper
• Commentary on: K. K., Suresh and K., Pradeepa Veerakumari (2007): Construction and Evaluation of Performance Measures for Bayesian Chain Sampling Plan (BChSP-1). Published in: Acta Ciencia Indica , Vol. 33, No. 4 (2007): pp. 16-35.
• Language: English
• Keywords: BAYESIAN ACCEPTANCE SAMPLING, CHAIN SAMPLING PLAN, BETA-BINOMIAL DISTRIBUTION, GAMMA-POISSON DISTRIBUTION
• Subjects: C - Mathematical and Quantitative Methods > C4 - Econometric and Statistical Methods: Special Topics > C45 - Neural Networks and Related Topics; C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods and Methodology: General > C15 - Statistical Simulation Methods: General; C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods and Methodology: General > C11 - Bayesian Analysis: General; C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods and Methodology: General

References

1. AMERICAN NATIONAL STANDARDS Institute/American Society for Quality Control (ANSI / ASQC) Standard A2 (1987), Terms, Symbols and Definition for Acceptance Sampling, American Society for Quality Control, Milwaukee, Wilconsion. USA.

2. CALVIN. T. W. (1984). How and When to Perform Bayesian Acceptance sampling, 7, American Society for Quality Control.

3. CASE. K.E., J.B. KEATS. (1982). On the Selection of a Prior Distribution in Bayesian Acceptance sampling, Journal of Quality Technology 14, No. 1, 10-18.

4. CLARK, C. R. (1960), OC Curve for ChSP-1 Chain Sampling Plans, Industrial Quality Control, Vol.17, No. 4, pp. 10-12.

5. GOVINDARAJU, K. (1990), Selection of ChSP-1 Chain Sampling Plans for given Acceptable Quality level Communications in Statitics, Theory and Methods Vol.19, No. 6, pp. 2179-2190.

6. HALD. A. (1965). Bayesian Single Sampling Plans for Discrete Prior Distributions, Maty, Fys. Dan. Vid. Selsk 3.

7. LATHA. M. (2002). Certain Studies Relating to Bayesian Acceptance Sampling Plans, Ph.D Thesis, Bharathiar University, Tamilnadu.

8. MANDELSON. J. (1962). The Statistician, the Engineer and Sampling plans, Industrial Quality Control 19,. 12 – 15.

9. OLIVER. L. R., SPRINGER. M.D. (1972). A General Set of Bayesian Attribute Acceptance Plans, American Institute of Industrial Engineers, Norcross, G. A. SURESH. K.K. (1993). A Study on Acceptance Sampling using Acceptable and Limiting quality Levels, Ph.D Thesis, Bharathiar University, Tamilnadu.