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Robust Probabilistic Multivariate Calibration Model

Summary: [This abstract is based on the authors' abstract.] A robust probabilistic multivariate calibration model is proposed to identify relationships between two sets of observed variables contaminated with outliers. Because the model is closely related to the multivariate Student t-distribution over noises and latent variables, it diminishes the effect of outlying data points by regulating the thickness of distribution tails. In addition, an efficient EM algorithm for parameter estimation is developed for the model.

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  • Topics: Design of Experiments
  • Keywords: Student's t-test, Outliers, Principal components, Multivariate analysis
  • Author: Fang, Yi; Jeong, Myong K.
  • Journal: Technometrics