= Mill's ratio =

The '''Mills' ratio''' is the ratio of the complementary c.d.f. to the p.d.f. for a continuous variable.

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== Description ==

The ratio is defined in reference to a p.d.f. ''f(.)'' and the corresponding c.d.f. ''F(.)''.

{{attachment:ratio.svg}}

This is the inverse of the '''hazard rate'''.

For the [[Analysis/NormalDistribution|standard normal distribution]], lower and upper bounds can be proven for this ratio. As ''x'' approaches negative infinity, the ratio approaches 0. As ''x'' approaches infinity, the ratio approaches infinity.



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CategoryRicottone