11.6.1. astroML.stats.binned_statistic¶

astroML.stats.
binned_statistic
(x, values, statistic='mean', bins=10, range=None)[source]¶ Compute a binned statistic for a set of data.
This is a generalization of a histogram function. A histogram divides the space into bins, and returns the count of the number of points in each bin. This function allows the computation of the sum, mean, median, or other statistic of the values within each bin.
 Parameters
 xarray_like
A sequence of values to be binned.
 valuesarray_like
The values on which the statistic will be computed. This must be the same shape as x.
 statisticstring or callable, optional
The statistic to compute (default is ‘mean’). The following statistics are available:
‘mean’ : compute the mean of values for points within each bin. Empty bins will be represented by NaN.
‘median’ : compute the median of values for points within each bin. Empty bins will be represented by NaN.
‘count’ : compute the count of points within each bin. This is identical to an unweighted histogram. values array is not referenced.
‘sum’ : compute the sum of values for points within each bin. This is identical to a weighted histogram.
function : a userdefined function which takes a 1D array of values, and outputs a single numerical statistic. This function will be called on the values in each bin. Empty bins will be represented by function([]), or NaN if this returns an error.
 binsint or sequence of scalars, optional
If bins is an int, it defines the number of equalwidth bins in the given range (10, by default). If bins is a sequence, it defines the bin edges, including the rightmost edge, allowing for nonuniform bin widths.
 range(float, float), optional
The lower and upper range of the bins. If not provided, range is simply
(x.min(), x.max())
. Values outside the range are ignored.
 Returns
 statisticarray
The values of the selected statistic in each bin.
 bin_edgesarray of dtype float
Return the bin edges
(length(statistic)+1)
.
See also
np.histogram
,binned_statistic_2d
,binned_statistic_dd
Notes
All but the last (righthandmost) bin is halfopen. In other words, if bins is:
[1, 2, 3, 4]
then the first bin is
[1, 2)
(including 1, but excluding 2) and the second[2, 3)
. The last bin, however, is[3, 4]
, which includes 4.Examples
>>> binned_statistic([1, 2, 1], [2, 5, 3], bins=[0, 1, 2, 3], statistic='count') (array([0., 2., 1.]), array([0., 1., 2., 3.]))