Rao ? Blackwell Theorem

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High Quality Content by WIKIPEDIA articles! In statistics, the Rao?Blackwell theorem, sometimes referred to as the Rao?Blackwell?Kolmogorov theorem, is a result which characterizes the transformation of an arbitrarily crude estimator into an estimator that is optimal by the mean-squared-error criterion or any of a variety of similar criteria. The Rao?Blackwell theorem states that if g(X) is any kind of estimator of a parameter ?, then the conditional expectation of g(X) given T(X), where T is a sufficient statistic, is typically a better estimator of ?, and is never worse. Sometimes one can very easily construct a very crude estimator g(X), and then evaluate that conditional expected value to get an estimator that is in various senses optimal.

Weitere Informationen

  • Allgemeine Informationen
    • GTIN 09786130502546
    • Editor Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
    • EAN 9786130502546
    • Format Fachbuch
    • Titel Rao ? Blackwell Theorem
    • Herausgeber Betascript Publishing
    • Anzahl Seiten 72
    • Genre Mathematik

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