Observed Statistical Risks in Inspection for Quality & Reliability
DOI:
https://doi.org/10.66721/3adtdz32Keywords:
Statistical inspection of quality and reliability, Hypothesis testing, Observed risks, Confidence limitsAbstract
This paper presents the concept of observed risks. These risks are determined after the statistical inspection tests of quality or reliability, so they depend on the test results. They allow evaluating probability of erroneous decisions (risks) after the test, not before it as it is traditionally done. We give the main properties of the observed risks. Numerical examples illustrate the suggested concept and demonstrate its usefulness.
References
[1] GOST (State All-Union Standard) 27.410–87. Industrial product dependability. Inspection methods of reliability indices and plans of check tests on reliability (in Russian).
[2] Dzirkal, E.V. "Statistical monitoring with the use of confidence limits in the case of a fixed number of observations", Eng. Cybern., vol. 20, 1982, pp. 61–65.
[3] Netes, V.A. "Risk observed in statistical inspection", Dependability and Quality Control, 1991, No 10, pp. 26–32 (in Russian).
[4] Handbook of Reliability Engineering. Ed. I.A. Ushakov. John Wiley & Sons, Inc., 1994.
[5] Cox, D.R., and D.V. Hinkley, Theoretical Statistics, Chapman & Hall, 1974. DOI: https://doi.org/10.1007/978-1-4899-2887-0
[6] Pavlov, I.V. Statistical Methods of Estimation of Reliability of Complex Systems Based on Experimental Results, Radio i Svyaz Press, 1982 (in Russian)
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