Autoregressive processes applied to acceptance sampling by varlables |
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| Authors: | KP Hapuarachchi BD Macpherson |
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| Institution: | 1. Business Survey Methods Division , Ottawa, Ontario, KIA 0T6, CANADA;2. Department of Statistics , The University of Manitoba , Winnipeg, Manitoba, R3T 2N2, CANADA |
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| Abstract: | The effect of serial correlation on acceptance sampling plans by variables has been examined in this paper assuming the quality measurements follow an AR(p) process. The effect of serial correlation can be examined by comparing OC curves, sample size and producer's risks, ∝, with that of the independent case when the process standard deviation, σ, is known. When σ is unknown and for large n, sampling plans can be constructed using the central limit theorem. However, for σ unknown and for small n, there is no satisfactory method of obtaining sampling plans. |
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| Keywords: | acceptance sampling plan autoregressive process serial correlation |
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