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In statistics, the monotone likelihood ratio property is a property of the ratio of two probability density functions (PDFs). Formally, distributions ƒ(x) and g(x) bear the property if that is, if the ratio is nondecreasing in the argument . If the functions are first-differentiable, the property may sometimes be stated For two distributions that satisfy the definition with respect to some argument x, we say they "have the MLRP in x." For a family of distributions that all satisfy the definition with respect to some statistic T(X), we say they "have the MLR in T(X)."

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  • Ein wachsender oder monotoner Dichtequotient, auch wachsender oder monotoner Likelihood-Quotient genannt, ist eine Eigenschaft einer Verteilungsklasse oder eines statistischen Modells in der mathematischen Statistik. Für Modelle mit wachsendem Dichtequotienten lässt sich das Neyman-Pearson-Lemma verallgemeinern und liefert somit die Existenz gleichmäßig bester Schätzer. (de)
  • In statistics, the monotone likelihood ratio property is a property of the ratio of two probability density functions (PDFs). Formally, distributions ƒ(x) and g(x) bear the property if that is, if the ratio is nondecreasing in the argument . If the functions are first-differentiable, the property may sometimes be stated For two distributions that satisfy the definition with respect to some argument x, we say they "have the MLRP in x." For a family of distributions that all satisfy the definition with respect to some statistic T(X), we say they "have the MLR in T(X)." (en)
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  • Ein wachsender oder monotoner Dichtequotient, auch wachsender oder monotoner Likelihood-Quotient genannt, ist eine Eigenschaft einer Verteilungsklasse oder eines statistischen Modells in der mathematischen Statistik. Für Modelle mit wachsendem Dichtequotienten lässt sich das Neyman-Pearson-Lemma verallgemeinern und liefert somit die Existenz gleichmäßig bester Schätzer. (de)
  • In statistics, the monotone likelihood ratio property is a property of the ratio of two probability density functions (PDFs). Formally, distributions ƒ(x) and g(x) bear the property if that is, if the ratio is nondecreasing in the argument . If the functions are first-differentiable, the property may sometimes be stated For two distributions that satisfy the definition with respect to some argument x, we say they "have the MLRP in x." For a family of distributions that all satisfy the definition with respect to some statistic T(X), we say they "have the MLR in T(X)." (en)
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  • Monotoner Dichtequotient (de)
  • Monotone likelihood ratio (en)
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