Journal of the Korean Statistical Society

The Korean Statistical Society (한국통계학회)
권호 표지

Approximations of Optimal Calibration Experimental Designs Using Gaussian Influence Diagrams

  • Kim, Sung-Chul (Department of Statistics, Soongsil University, Seoul 156-743)
  • Published : 1993.12.01
Download PDF
⟨ Previous Next ⟩

Abstract

A measuring instrument must be calibrated for accurate inferences of an unknown quantity. Bayesian calibration designs with respect to squared error loss based on a linear model are discussed in Kim and Barlow (1992). In this paper, we consider approximations of the optimal calibration designs using the idea of Gaussian inflence diagrams. The approximation is evaluated by means of numerical calculations, where it is compared with the exact values from the numerical integration.

Keywords

References

  1. Accelerated Life Testing and Experts' Opinions in Reliability Using Influence Diagrams Barlow,R.E.;C.Clarotti(ed.);D.V.Lindley(ed.)
  2. Journal of Statistical Planning and Inference v.29 Computing the Optimal Design for a Calibration Experiment Barlow,R.E.;R.W.Mensing;N.G.Smiriga
  3. Journal of Royal Statistical Society, Ser B v.44 Multivariate Calibration (with discussion) Brown,P.J.
  4. Annals of Statistics v.12 Optimal Bayesian Experimental Design for Linear Models Chaloner,K.
  5. Journal of American Statistical Association v.65 A Bayesian Look at Inverse Linear Regression Hoadley,B.
  6. Readings in the Principles and Applications of Decision Analysis v.2 Influence Diagrams Howard,R.A.;J.E.Matheson;R.A.Howard(ed.);J.E.Matheson(ed.)
  7. Ph.D. Thesis, Department of Industrial Engineering and Operations Research, University of California, Berkeley, CA, U.S.A. Bayesian Calbration Experimental Designs Based on Linear Models Kim,S.C.
  8. Submitted to Journal of Statistical Planning and Inference Bayesian Calbration Experimental Designs Based on Linear models Kim,S.C.;R.E.Barlow
  9. Applied Multivariate Analysis: Using Bayesian and Frequentist Methods of Inference(2nd edn.) Press,S.J.
  10. Journal of American Statistical Association v.83 A Bayesian Approach to Nonlinear Calibration Problems Racine-Poon,A.
  11. Operations Research v.34 Evaluating Influence Diagrams Shachter,R.
  12. Management Science v.35 no.5 Gaussian Influence Diagrams Shachter,R.;C.R.Kenley