7.4.3.3.9. statsmodels.robust.norms.estimate_location¶

statsmodels.robust.norms.estimate_location(a, scale, norm=None, axis=0, initial=None, maxiter=30, tol=1e-06)[source]¶

M-estimator of location using self.norm and a current estimator of scale.

This iteratively finds a solution to

norm.psi((a-mu)/scale).sum() == 0

Parameters:

a : array Array over which the location parameter is to be estimated scale : array Scale parameter to be used in M-estimator norm : RobustNorm, optional Robust norm used in the M-estimator. The default is HuberT(). axis : int, optional Axis along which to estimate the location parameter. The default is 0. initial : array, optional Initial condition for the location parameter. Default is None, which uses the median of a. niter : int, optional Maximum number of iterations. The default is 30. tol : float, optional Toleration for convergence. The default is 1e-06.

Returns:

mu : array Estimate of location