scipy.special.nrdtrimn — SciPy v1.15.3 Manual (original) (raw)

scipy.special.nrdtrimn(p, std, x, out=None) = <ufunc 'nrdtrimn'>#

Calculate mean of normal distribution given other params.

Parameters:

parray_like

CDF values, in range (0, 1].

stdarray_like

Standard deviation.

xarray_like

Quantiles, i.e. the upper limit of integration.

outndarray, optional

Optional output array for the function results

Returns:

mnscalar or ndarray

The mean of the normal distribution.

See also

scipy.stats.norm

Normal distribution

ndtr

Standard normal cumulative probability distribution

ndtri

Inverse of standard normal CDF with respect to quantile

nrdtrisd

Inverse of normal distribution CDF with respect to standard deviation

Examples

nrdtrimn can be used to recover the mean of a normal distribution if we know the CDF value p for a given quantile x and the standard deviation std. First, we calculate the normal distribution CDF for an exemplary parameter set.

from scipy.stats import norm mean = 3. std = 2. x = 6. p = norm.cdf(x, loc=mean, scale=std) p 0.9331927987311419

Verify that nrdtrimn returns the original value for mean.

from scipy.special import nrdtrimn nrdtrimn(p, std, x) 3.0000000000000004