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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 for every x 1 > x 0 , f ( x 1 ) g ( x 1 ) ≥ f ( x 0 ) g ( x 0 ) {\displaystyle {\text{for every }}x_{1}>x_{0},\quad {\frac {f(x_{1})}{g(x_{1})}}\geq {\frac {f(x_{0})}{g(x_{0})}}} that is, if the ratio is nondecreasing in the argument x {\displaystyle x} . If the functions are first-differentiable, the property may sometimes be stated ∂ ∂ x ( f ( x ) g ( x ) ) ≥ 0 {\displaystyle {\frac {\partial }{\partial x}}\left({\frac {f(x)}{g(x)}}\right)\geq 0} 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)."
We couldn't find any anagrams for the word monotone likelihood ratio.
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monotocardiac, monotocardian, monotocous, monotomous, monotone, monotonic, monotonical, monotonically, monotonist, monotonize
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"monotone likelihood ratio." Anagrams.net. STANDS4 LLC, 2024. Web. 12 May 2024. <https://www.anagrams.net/monotone%20likelihood%20ratio>.
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