An Estimation Problem in Faulty Inspection Sampling. Revised.
MARYLAND UNIV COLLEGE PARK DEPT OF MANAGEMENT SCIENCES AND STATISTICS
Pagination or Media Count:
Suppose samples of size n are chosen at random from lots of size N and examined for the presence or absence of a certain type or types of defect. If inspection is not perfect, there may be a probability, p, of failing to detect a defect when it is, in fact, present. It is desired to estimate p from records of the number of items found to have the defects on inspection. In the absence of further information, the problem cannot be answered on the basis of single samples, of size n, from each of a number of lots. Some further assumptions are needed - such as supposing the number of defective items per lot is nearly constant. Alternatively, some more elaborate sampling - for example, repeated sampling from the same lot - may provide the necessary information. The paper describes several methods of estimation utilizing various forms of additional data and information. Some as yet unsolved problems are briefly discussed.
- Numerical Mathematics