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The ratio of the density functions above is increasing in the parameter x {\displaystyle x} , so f / g {\displaystyle f/g} satisfies the monotone likelihood ratio property.
In statistics, the monotone likelihood ratio property is a property of the ratio of two probability density functions. Formally, distributions ƒ and g bear the property if
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
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