Confidence Sets for the Mean of a Multivariate Normal Distribution

No abstract is available for this paper.

• Publication year

  1962

• Venue

  Journal of the royal statistical society series b-methodological

• Publication date

  1962-07-01

• Fields of study

  Mathematics

• Identifiers
  DOI 10.1111/J.2517-6161.1962.TB00458.X
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

• Applied Statistical Decision Theory.

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