Statistical meaning of Carlen's superadditivity of the Fisher information

Abram Kagan, Zinoviy Landsman

Research output: Contribution to journalArticlepeer-review


In Carlen (1991) a property of the Fisher information called "superadditivity", was proved via analytic means. We show that the superadditivity is a corollary of the following simple statistical principle which is of an independent interest. The Fisher information about a parameter θ contained in an observation X = (Y,Z) with a density f(y - θ,z) is never less than the Fisher information in the first component Y with the equality iff Y is independent of Z.

Original languageEnglish
Pages (from-to)175-179
Number of pages5
JournalStatistics and Probability Letters
Issue number2
StatePublished - 1 Mar 1997


  • Fisher information
  • Superadditivity

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty


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