Encyclopedia of statistical sciences [Vol. 01] by S. Kotz

By S. Kotz

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B. and Kordonskiy, K. B. (1969). Models of Failure. New York: SpringerVerlag. 2. Bagdonaviˇcius, V. (1990). Accelerated life models when the stress is not constant. Kybernetika, 26, 289–295. 15. Gertsbakh, L. B. and Kordonskiy, K. B. (1997). Multiple time scale and the lifetime coefficient of variation: Engineering applications. Lifetime Data Analysis, 2, 139–156. 3. , Nikulin, M. (1995). Semiparametric models in accelerated life testing. Queen’s Papers in Pure and Applied Mathematics, 98. Kingston: Queen’s University, Canada.

Richard D. Irwin, Homewood, Ill. 4. Freeman, H. , and Wallis, W. , eds. (1948). Sampling Inspection Principles: Procedures and Tables for Single, Double and Sequential Sampling in Acceptance Inspection and Quality Control. McGraw-Hill, New York. 5. Schilling, E. G. (1981). Acceptance Sampling in Quality Control. Marcel Dekker, New York. See also AVERAGE OUTGOING QUALITY LIMIT (AOQL); CONTROL CHARTS; LOT TOLERANCE TABLES, DODGE –ROMIG; QUALITY CONTROL, STATISTICAL; and SAMPLING PLANS. EDWARD G. SCHILLING ACCURACY AND PRECISION The accuracy of an observation or a statistic derived from a number of observations has to do with how close the value of the statistic is to a supposed ‘‘true value’’.

The first plan of experiments. Denote by x0 = (x00 , x01 , . . , x0m ), x00 = 1, the usual stress. Generally accelerated life testing experiments are done under an onedimensional stress (m = 1), sometimes under two-dimensional (m = 2). Let x1 , . . , xk be constant over time accelerated stresses: x0 < x1 < · · · < xk ; here xi = (xi0 , xi1 , . . , xim ) ∈ Em , xi0 = 1. The usual stress x0 is not used during experiments. According to the first plan of experiment k groups of units are tested. The ith group of ni units, ki=1 ni = n, is tested under the stress xi .

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