Families of Minimax Estimators of the Mean of a Multivariate Normal Distribution

  • Efron B
  • Morris C
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Abstract

An extension of Strawderman's results yields minimax admissible estimates for the mean of a p-variate normal distribution where the known nonsingular covariance matrix is not necessarily the identity and p > 2. Minimax estimators for the case where the covariance matrix is unknown are also given.

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Efron, B., & Morris, C. (2007). Families of Minimax Estimators of the Mean of a Multivariate Normal Distribution. The Annals of Statistics, 4(1). https://doi.org/10.1214/aos/1176343344

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