mills_ratioreturns the reciprocal of Mills’ Ratio.
For full information please refer to the NAG Library document for g01mb
, the argument of the reciprocal of Mills’ Ratio.
The reciprocal of Mills’ Ratio.
mills_ratiocalculates the reciprocal of Mills’ Ratio, the hazard rate, , for the standard Normal distribution. It is defined as the ratio of the ordinate to the upper tail area of the standard Normal distribution, that is,
The calculation is based on a Chebyshev expansion as described in
Gross, A J and Clark, V A, 1975, Survival Distributions: Reliability Applications in the Biomedical Sciences, Wiley