Estimating the number of defects under imperfect inspection

A capture-recapture sampling plan is defined for estimating the number of defects in one or more products. This sampling plan will be useful in applications where every defect cannot be detected with complete certainly.

[1]  Kenneth E. Case,et al.  The Distribution of Observed Defectives in Attribute Acceptance Sampling Plans Under Inspection Error , 1976 .

[2]  B. L. Foote,et al.  An Approach to Compensate for Uncertainty in Knowledge of Inspector Error , 1982 .

[3]  Murray Sinclair,et al.  A collection of modelling approaches for visual inspection in industry , 1978 .

[4]  M. R. Novick,et al.  Statistical Theories of Mental Test Scores. , 1971 .

[5]  G. Seber,et al.  The estimation of animal abundance and related parameters , 1974 .

[6]  B. L. Foote,et al.  The Effect of Inspector Accuracy on the Type I and Type II Errors of Common Sampling Techniques , 1975 .

[7]  J. Wittes,et al.  331. Note: On the Bias and Estimated Variance of Chapman's Two-Sample Capture-Recapture Population Estimate , 1972 .

[8]  Samuel Kotz,et al.  Some distributions arising from faulty inspection with multitype defectives, and an application to grading , 1983 .

[9]  Donald P. Ballou,et al.  The Impact of Inspector Fallibility on the Inspection Policy in Serial Production Systems , 1982 .

[10]  Samuel Kotz,et al.  “Faulty inspeciton” distributions , 1980 .

[11]  B. L. Foote,et al.  Inspection errors and statistical quality control: A survey , 1978 .

[12]  Kenneth E. Case,et al.  The p Control Chart Under Inspection Error , 1980 .

[13]  D. G. Chapman.  Some properties of the hypergeometric distribution with applications to zoölogical somple censuses , 1951 .

[14]  Samuel Kotz,et al.  Effects of False and Incomplete Identification of Defective Items on the Reliability of Acceptance Sampling , 1984, Oper. Res..

[15]  Samuel Kotz,et al.  Statistical Effects of Imperfect Inspection Sampling: I. Some Basic Distributions , 1985 .

[16]  L Trader Ramona,et al.  A bayesian analysis of imperfect inspection models , 1983 .

[17]  George A. F. Seber,et al.  The Effects of Trap Response on Tag Recapture Estimates , 1970 .