scipy.stats.mvsdist

scipy.stats.mvsdist(data)

‘Frozen’ distributions for mean, variance, and standard deviation of data.

Parameters:

data : array_like

Input array. Converted to 1-D using ravel. Requires 2 or more data-points.

Returns:

mdist : “frozen” distribution object

Distribution object representing the mean of the data

vdist : “frozen” distribution object

Distribution object representing the variance of the data

sdist : “frozen” distribution object

Distribution object representing the standard deviation of the data

See also

bayes_mvs

Notes

The return values from bayes_mvs(data) is equivalent to tuple((x.mean(), x.interval(0.90)) for x in mvsdist(data)).

In other words, calling <dist>.mean() and <dist>.interval(0.90) on the three distribution objects returned from this function will give the same results that are returned from bayes_mvs.

References

T.E. Oliphant, “A Bayesian perspective on estimating mean, variance, and standard-deviation from data”, https://scholarsarchive.byu.edu/facpub/278, 2006.

Examples

>>> from scipy import stats
>>> data = [6, 9, 12, 7, 8, 8, 13]
>>> mean, var, std = stats.mvsdist(data)

We now have frozen distribution objects “mean”, “var” and “std” that we can examine:

>>> mean.mean()
9.0
>>> mean.interval(0.95)
(6.6120585482655692, 11.387941451734431)
>>> mean.std()
1.1952286093343936