Admissible minimax estimators of a mean vector of scale mixtures of multivariate normal distributions

  • Authors:
  • Yuzo Maruyama

  • Affiliations:
  • Center for Spatial Information Science, Faculty of Economics, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-0033, Japan

  • Venue:
  • Journal of Multivariate Analysis
  • Year:
  • 2003

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Abstract

The problem of estimating a mean vector of scale mixtures of multivariate normal distributions with the quadratic loss function is considered. For a certain class of these distributions, which includes at least multivariate-t distributions, admissible minimax estimators are given.