naginterfaces.library.stat.mills_ratio¶
- naginterfaces.library.stat.mills_ratio(x)[source]¶
mills_ratio
returns the reciprocal of Mills’ Ratio.For full information please refer to the NAG Library document for g01mb
https://support.nag.com/numeric/nl/nagdoc_30.2/flhtml/g01/g01mbf.html
- Parameters
- xfloat
, the argument of the reciprocal of Mills’ Ratio.
- Returns
- rmrfloat
The reciprocal of Mills’ Ratio.
- Notes
mills_ratio
calculates 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
specfun.erfcx_real
.
- References
Gross, A J and Clark, V A, 1975, Survival Distributions: Reliability Applications in the Biomedical Sciences, Wiley