ESTIMATING THE RATE OF DEFECTS UNDER IMPERFECT SAMPLING INSPECTION—A NEW APPROACH
| Autor: | Tamar Gadrich, Guy Katriel |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Statistics and Probability
0209 industrial biotechnology 010401 analytical chemistry Applied probability Estimator Contrast (statistics) Sample (statistics) 02 engineering and technology Management Science and Operations Research 01 natural sciences Industrial and Manufacturing Engineering 0104 chemical sciences Sampling inspection 020901 industrial engineering & automation Statistics Imperfect Statistics Probability and Uncertainty Mathematics |
| Zdroj: | Probability in the Engineering and Informational Sciences. 35:242-257 |
| ISSN: | 1469-8951 0269-9648 |
| DOI: | 10.1017/s0269964819000391 |
| Popis: | We consider the problem of estimating the rate of defects (mean number of defects per item), given the counts of defects detected by two independent imperfect inspectors on one sample of items. In contrast with the setting for the well-known method of Capture–Recapture, we do not have information regarding the number of defects jointly detected by both inspectors. We solve this problem by constructing two types of estimators—a simple moment-type estimator, and a complicated maximum-likelihood (ML) estimator. The performance of these estimators is studied analytically and by means of simulations. It is shown that the ML estimator is superior to the moment-type estimator. A systematic comparison with the Capture–Recapture method is also made. |
| Databáze: | OpenAIRE |
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