Lot acceptance and compliance testing based on the sample mean and minimum/maximum
Ma, Chunsheng Robinson, John W.
Ma, Chunsheng
Robinson, John W.
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2011-07
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Article
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Acceptance testing,Joint distribution,Saddlepoint approximation
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Chunsheng Ma, John Robinson, Lot acceptance and compliance testing based on the sample mean and minimum/maximum, Journal of Statistical Planning and Inference, Volume 141, Issue 7, 2011, Pages 2440-2448, ISSN 0378-3758, https://doi.org/10.1016/j.jspi.2011.02.003.
Abstract
A dual acceptance criterion in terms of the sample mean and an extremum (minimum or maximum) has been used in many inspection procedures in diverse industries. An approximation is given in Vangel (Technometrics, 2002, pp. 242-248) for the joint distribution of the sample mean and an extremum when the population is normally distributed. In this paper we obtain a simple expression that depends on the distribution of the sample mean and the truncated sample mean. This expression allows us to evaluate the joint distribution exactly, in two cases, or approximately, in more general cases, making the dual acceptance criterion easier to calculate in practice. We present a saddlepoint approximation for the joint tail probability, with the application to the dual acceptance criterion under the assumption of normality. © 2011 Elsevier B.V.
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Elsevier B.V.
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Journal of Statistical Planning and Inference
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03783758