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Operative Controlling Based on Bayesian Networks Using the Kalman Filter Technique

  • H. J. Lenz
Conference paper
Part of the International Centre for Mechanical Sciences book series (CISM, volume 363)

Abstract

Controlling of facts is of great importance for all kind of activities. Its objective is to check data in order to detect any kind of irregularities caused by management, employees or by environment. Given a data set, a fully specified errors-in-the-variables model and an error probability a, a statistical decision can be made whether the data are generated by the model or not.

We present the methodology of such an approach. It is mainly based on linear, Gaussian models with errors in the variables and uses generalized least-squares estimation techniques. Reparametrisation of the estimators leads to a Kalman filtering approach, cf. Schmid (1979). Inference based on statistical tests is due to Lenz, Rödel (1992). The illustrative examples are taken from Kluth (1995).

Keywords

Bayesian Network Operative Controlling Generalize Little Square Statistical Quality Control Observation Matrix 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. Jazwinski, A. H. (1970) Stochastic Processes and Filtering Theory, Academic PressGoogle Scholar
  2. Kluth, M. (1995) Konzeption, Implementation und Evaluierung eines wissensbasierten Controllingsystems (OpCon) im Fertigungsbereich, Ph.D. dissertation, FU BerlinGoogle Scholar
  3. Lenz, H.-J., Rödel, E. (1991) Statistical Quality Control of Data, Horst, R. et al (eds.) Proceedings 16th Symposium on Operations Research, PhysicaGoogle Scholar
  4. Pearl, Judea (1988) Probabilistic Reasoning in Intelligent Systems: Networks of Plausible Inference, Morgan Kaufmann Publ.Google Scholar
  5. Rao, C.R. (1965) Linear Statistical Inference and its Applications, WileyGoogle Scholar
  6. Schmid, B. (1979) Bilanzmodelle, ETH ZürichGoogle Scholar
  7. Schneeweiß, H. (1988) Personal CommunicationGoogle Scholar

Copyright information

© Springer-Verlag Wien 1995

Authors and Affiliations

  • H. J. Lenz
    • 1
  1. 1.FU BerlinBerlinGermany

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