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Application of dirichlet integrals for curtailment problems in sampling inspection
Author(s) -
Sobel Milton,
Ebneshahrashoob M.,
Lin J. Y.
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(198904)36:2<215::aid-nav3220360208>3.0.co;2-s
Subject(s) - acceptance sampling , dirichlet distribution , sampling (signal processing) , variance (accounting) , sample (material) , mathematics , computer science , mathematical optimization , statistics , sample size determination , mathematical analysis , chemistry , accounting , filter (signal processing) , chromatography , business , computer vision , boundary value problem
The standard problem in sampling inspection is to consider plans with and without curtailment. Curtailment causes difficulty and authors rarely give exact results (i.e., exact OC and ASN functions) for curtailed procedures. In this article we regard curtailment as an inverse sampling procedure and use Dirichlet integrals to obtain exact formulas for the OC, the ASN, and also the variance of the number of observations required under three types of plans: no curtailment, semicurtailment (for rejection only) and two‐sided curtailment. Different sections of the article deal with the single sample, the two‐stage, and the multiple‐stage sampling problems. New tables for carrying out the single‐sample procedure are included in the article. The authors feel that this article presents new directions and new ways of dealing with problems associated with quality control.