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Published June 28, 2018 | Version v1
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CONSTRUCTION AND SELECTION OF CHAIN SAMPLING PLAN WITH ZERO – INFLATED POISSON DISTRIBUTION

  • 1. Research Scholar, Department of Statistics, Government Arts College, Udumalpet, Tamilnadu
  • 2. Principal (Red), Kamarajar Government Arts College, Surandai, Tamilnadu

Description

In this article given a construction procedure of attribute Zero – Inflated Poisson chain sampling plan-1 for variable fraction defective is presented using stochastic differential equations. An iterative procedure for finding the parameters of the plan satisfying the given conditions with respect to producer quality level is given. Tables are constructed for easy selection of the parameters which are readily available to apply in the shaft floors of production process. The performance of the chain sampling plan for variable fraction defective is also discussed by determining the operating characteristic function. The procedure is developed to draw an Average Outgoing Quality Level (AOQL), curve by using Zero – Inflated Poisson chain sampling plan-1 and compare the different procedures in order to show the ambiguity of the procedure and their results.

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References

  • 1. Bohning, D., Dietz, E., Schlattmann, P. (1999). The zero-inflated Poisson model and the decayed, missing and filled teeth index in dental epidemiology. Journal of Royal Statistical Society, Series A 162:195–209. 2. CLARK, C. R. (1960), OC Curve for ChSP-1 Chain Sampling Plans, Industrial Quality Control, Vol.17, No. 4, pp. 10-12. 3. Dodge H.F, Chain sampling inspection plans, Industrial Quality Control II(4) (1955), 10-13 4. Lambert, D. (1992). Zero-inflated Poisson regression with an application to defects in manufacturing. Technometrics 34:1–14. 5. Loganathan, A and Shalini, K., (2013). Determination of Single sampling plans by attributes under the conditions of Zero – inflated Poisson distribution. Communications in Statistics – Simulation and Computation 43:3, 538-548. 6. Latha.M and Rajeswari M Cost and regret function for Bayesian Chain Sampling Plan-1, International Journal of Industrial Engineering and Technology Vol-4 No-3 pp-155-160. 7. Latha. M and S. Jeyabharathi Selection of Bayesian Chain Sampling Attributes Plans Based On Geometric Distribution, International Journal of Scientific and Research Publications, Volume 2, Issue 7. 8. Soundararajan V Procedure and tables for construction and selection of chain sampling plan (ChSP-1) part-1, Journal of Quality and Technology 10(2) (1978). 56-60 9. Soundararajan V Procedure and tables for construction and selection of chain sampling plan (ChSP-1) part-2, Journal of Quality and Technology (1978). 99-103 10. Suresh K K and Latha M Construction and evaluation of performance measures for Bayesian chain sampling plan (BChSP-1) Far East Journal of Theoretical Statistics (2002) 129-139 11. V. Sankara Subramaniyan & K. Veerakumar, "A Study on Risk Management in Construction Projects - An Empirical Study", International Journal of Advanced Trends in Engineering and Technology, Page Number 1-4, Volume 2, Issue 1, 2017. 12. A. Palanisamy and M. Latha,(2018) "Construction of Bayesian Single Sampling Plan by Attributes under the Conditions of Gamma Zero – Inflated Poisson Distribution," International Research Journal of Advanced Engineering and Science, Volume 3, Issue 1, pp. 67-71, 20