Construction And Selection Of A Bayesian Single Sampling Scheme With A Gamma Prior Distribution Using Weighted Poisson Distribution

  • R. Kiruthika
  • S.Sumithra
Keywords: Bayesian sampling scheme, Single sampling scheme, Acceptance quality level, Limiting quality level, Maximum allowable percentage defective, Operating Characteristic

Abstract

The purpose of this paper present a method for creating and choosing a  Bayesian single sampling scheme with a gamma prior distribution using weighted Poisson distribution. The weighted Poisson function is used to derive the average probability of lot acceptance based on defective random defective products. Gamma distribution is considered as a suitable prior for weighted Poisson distribution. It is discussed with i) Acceptance Quality Level and Limiting Quality Level, ii) control point and the relative slope at that point and iii) MAPD. Tables are provided for the easy selection of the plans.

Author Biographies

R. Kiruthika

Associate Professor, Department of Mathematics, KIT-Kalaignarkarunanidhi Institute of Technology, Coimbatore, Tamil Nadu, India

S.Sumithra

Assistant Professor, Department of Statistics, PSG college of Arts and Science, Coimbatore, Tamil Nadu, India

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Published
2024-07-06
How to Cite
R. Kiruthika, & S.Sumithra. (2024). Construction And Selection Of A Bayesian Single Sampling Scheme With A Gamma Prior Distribution Using Weighted Poisson Distribution. Revista Electronica De Veterinaria, 25(1S), 244-250. https://doi.org/10.53555/redvet.v25i1S.604