On Designing Sampling Inspection Plans by Variables Based on Skew-Normal Distribution


  • C. R. Saranya Department of Statistics, Kumbalathu Sankupillai Memorial Devaswom Board College, Sasthamcotta, Kerala, India
  • K. Sathya Narayana Sharma Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, India
  • R. Vijayaraghavan Department of Statistics, Bharathiar University, Coimbatore, Tamil Nadu, India


Sampling inspection plans, variable sampling, skew-normal distribution, non-normality, skewness


Acceptance sampling, also termed as sampling inspection, is an essential quality control technique which describes the rules and procedures for deciding whether the manufactured lot of commodities can be accepted or rejected based on the inspection of one or more samples. Sampling inspection by the method of variables is one of the categories of sampling inspection plans in which the discretion of acceptance or rejection is made hinge on some specific rule which is framed according to the measurement of a quality characteristic under study.  In this scenario, the quality feature under study is considered to be a continuous random variable that can be demonstrated using any continuous type statistical distribution. Application of skew-normal distribution is considered in this paper for establishing acceptance sampling inspection plans for variables based on the examination of units from a single sample.


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How to Cite

R. Saranya, C. ., Sathya Narayana Sharma, K. ., & Vijayaraghavan, R. . (2023). On Designing Sampling Inspection Plans by Variables Based on Skew-Normal Distribution. Thailand Statistician, 21(4), 853–862. Retrieved from https://ph02.tci-thaijo.org/index.php/thaistat/article/view/251064