Logarithmic information of degree q linked with an extension of Fisher's information

نویسندگان

  • Bernadette Bouchon-Meunier
  • Franquiberto Pessoa
چکیده

We introduce the Fisher's information of degree q, q e 2/V*, of a given random variable X, with a density function depending on a parameter 0, 6 e 0, the average Fisher's information of this variable when the parameter is itself random, and the logarithmic information of degree q which characterizes this one. We exhibit relations concerning these 3 quantities and we more particularly obtain extensions of the inequality of Cramer-Rao and properties of non-additivity.

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عنوان ژورنال:
  • Kybernetika

دوره 21  شماره 

صفحات  -

تاریخ انتشار 1985