Continuous elliptical and exponential power linear dynamic models

  • Authors:
  • E. Gómez;M. A. Gómez-Villegas;J. M. Marín

  • Affiliations:
  • Universidad Complutense de Madrid, Madrid, Spain;Universidad Complutense de Madrid, Madrid, Spain;Universidad complutense de Madrid, Madrid, Spain

  • Venue:
  • Journal of Multivariate Analysis
  • Year:
  • 2002

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Abstract

This paper shows a generalization of the linear dynamic model, which is practical and easy to compute. The generalization is made by assuming a continuous elliptical joint distribution for the parameters and errors. Updated distribution and probabilistic characteristics of the current and future vector of state and observations are given. As a particular simple submodel, the one with a multidimensional exponential power initial distribution is developed. An example showing its use is given.