circmean¶

astropy.stats.
circmean
(data, axis=None, weights=None)[source]¶ Computes the circular mean angle of an array of circular data.
Parameters:  data : numpy.ndarray or Quantity
Array of circular (directional) data, which is assumed to be in radians whenever
data
isnumpy.ndarray
. axis : int, optional
Axis along which circular means are computed. The default is to compute the mean of the flattened array.
 weights : numpy.ndarray, optional
In case of grouped data, the ith element of
weights
represents a weighting factor for each group such thatsum(weights, axis)
equals the number of observations. See [1], remark 1.4, page 22, for detailed explanation.
Returns:  circmean : numpy.ndarray or Quantity
Circular mean.
References
[1] S. R. Jammalamadaka, A. SenGupta. “Topics in Circular Statistics”. Series on Multivariate Analysis, Vol. 5, 2001. [2] C. Agostinelli, U. Lund. “Circular Statistics from ‘Topics in Circular Statistics (2001)’”. 2015. <https://cran.rproject.org/web/packages/CircStats/CircStats.pdf> Examples
>>> import numpy as np >>> from astropy.stats import circmean >>> from astropy import units as u >>> data = np.array([51, 67, 40, 109, 31, 358])*u.deg >>> circmean(data) # doctest: +FLOAT_CMP <Quantity 48.62718088722989 deg>