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On the robustness of the modified beta distribution for acceptance sampling in statistical quality control
Author(s) -
Lee Hau L.,
Tagaras George
Publication year - 1989
Publication title -
naval research logistics (nrl)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.665
H-Index - 68
eISSN - 1520-6750
pISSN - 0894-069X
DOI - 10.1002/1520-6750(198908)36:4<447::aid-nav3220360408>3.0.co;2-w
Subject(s) - acceptance sampling , robustness (evolution) , beta distribution , sampling distribution , bayesian probability , statistical process control , sampling (signal processing) , computer science , probability distribution , statistics , mathematics , mathematical optimization , reliability engineering , sample size determination , process (computing) , engineering , biochemistry , chemistry , filter (signal processing) , computer vision , gene , operating system
The purpose of this article is to examine the robustness of the modified Beta distribution as a probability distribution of lot fraction defectives in Bayesian acceptance sampling for statistical quality control. In complex manufacturing systems, a production process may consist of multiple production stages in a serial or nonserial fashion. Hence, inputs to a production station can be a result of subassembly of several inputs, or outputs of some inspection stations for some prior work stages. We investigate the effectiveness of the modified Beta distribution as an approximation to the lot fraction defectives probability of inputs at intermediate work stations. The robustness of the modified Beta distribution simplifies both the determination of the optimal sampling plan for acceptance sampling, and the calibration of distributions resulted from subassembly or inspection operations in complex manufacturing systems.