public static double g01mb(
	double x
)

Public Shared Function g01mb ( _
	x As Double _
) As Double

public:
static double g01mb(
	double x
)

static member g01mb : 
        x : float -> float 

g01mb returns the reciprocal of Mills' Ratio.

g01mb calculates the reciprocal of Mills' Ratio, the hazard rate, $\lambda \left(x\right)$, 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 s15ag.

Gross A J and Clark V A (1975) Survival Distributions: Reliability Applications in the Biomedical Sciences Wiley

None.

In the left-hand tail, $x<0.0$, if $\frac{1}{2}{e}^{-\left(1/2\right)x^2}\le$ the safe range parameter (x02am), then $0.0$ is returned, which is close to the true value.

The relative accuracy is bounded by the effective machine precision. See s15ag for further discussion.

None.

If, before entry, $x$ is not a standard Normal variable, it has to be standardized, and on exit, g01mb has to be divided by the standard deviation. That is, if the Normal distribution has mean $\mu$ and variance ${\sigma }^2$, then its hazard rate, $\lambda \left(x;\mu ,{\sigma }^2\right)$, is given by

The hazard rate is evaluated at different values of $x$ for Normal distributions with different means and variances. The results are then printed.