What does monotone likelihood ratio mean?
Definitions for monotone likelihood ratio
mono·tone like·li·hood ra·tio
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Wikipedia
Monotone likelihood ratio
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)."
Numerology
Chaldean Numerology
The numerical value of monotone likelihood ratio in Chaldean Numerology is: 7
Pythagorean Numerology
The numerical value of monotone likelihood ratio in Pythagorean Numerology is: 4
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"monotone likelihood ratio." Definitions.net. STANDS4 LLC, 2024. Web. 28 Apr. 2024. <https://www.definitions.net/definition/monotone+likelihood+ratio>.
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