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On the estimation of the mean of a \(N_ p(\mu ,\Sigma)\) population with \(\mu'\Sigma^{-1}\mu\) known

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Publication:1336944
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DOI10.1016/0167-7152(94)90059-0zbMath0805.62058OpenAlexW2114487098MaRDI QIDQ1336944

Éric Marchand

Publication date: 6 November 1994

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-7152(94)90059-0


zbMATH Keywords

sensitivitymaximum likelihood estimationefficiencylinear estimationlower boundconstraintexplicit expressionmultivariate normal meanbest equivariant estimator


Mathematics Subject Classification ID

Estimation in multivariate analysis (62H12)


Related Items (2)

Estimation of a parameter vector when some components are restricted ⋮ Shrinkage and modification techniques in estimation of variance and the related problems: A review



Cites Work

  • Unnamed Item
  • Unnamed Item
  • Equivariant estimation in a model with an ancillary statistic
  • Equivariant estimation of a mean vector \(\mu\) of N(\(\mu\) ,\(\Sigma\) ) with \(\mu '\Sigma ^{-1}\mu =1\) or \(\Sigma ^{-}\mu =c\) or \(\Sigma =\sigma\) 2\(\mu\) '\(\mu\) I
  • Conditional inference about a normal mean with known coefficient of variation


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