statsmodels.nonparametric.bandwidths.bw_scott

statsmodels.nonparametric.bandwidths.bw_scott(x, kernel=None)[source]

Scott’s Rule of Thumb

Parameters:
  • x (array-like) – Array for which to get the bandwidth
  • kernel (CustomKernel object) – Unused
Returns:

bw – The estimate of the bandwidth
Return type:

float

Notes

Returns 1.059 * A * n ** (-1/5.) where

A = min(std(x, ddof=1), IQR/1.349)
IQR = np.subtract.reduce(np.percentile(x, [75,25]))

References

Scott, D.W. (1992) Multivariate Density Estimation: Theory, Practice, and
Visualization.