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Statistica Sinica 8(1998), 151-164


THE ANALYSIS OF PROCESS VARIATION TRANSMISSION

WITH MULTIVARIATE MEASUREMENTS


Daniel Y. T. Fong and J. F. Lawless


University of Waterloo


Abstract: This article discusses methods of estimating the variation in product quality characteristics measured at several stages in a manufacturing process. By determining which stages contribute most to variation one can focus variation reduction activities more effectively. A multivariate normal Markov process is used to model the variation in characteristics. Methods that deal with measurement error and missing data are introduced through a state space formulation.



Key words and phrases: E-M algorithm, Kalman filter, measurement error, missing data.



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