analysis.UtsuBValueEstimator.calculate#

UtsuBValueEstimator.calculate(magnitudes: ndarray | list, mc: float, delta_m: float, weights: ndarray | list | None = None) → float#

Calculates the b-value of the Gutenberg-Richter (GR) law.

Parameters:

  • magnitudes – Array of magnitudes.

  • mc – Completeness magnitude.

  • delta_m – Bin size of discretized magnitudes.

  • weights – Array of weights for the magnitudes.

Returns:

b – b-value of the Gutenberg-Richter law.

Examples

>>> import numpy as np
>>> from seismostats.analysis import ClassicBValueEstimator

>>> magnitudes = np.array([2. , 2.5, 2.1, 2.2, 2.5, 2.2, 2.6,
...                        2.3, 2.7, 2.2, 2.4, 2. , 2.7, 2.2,
...                        2.3, 2.1, 2.4, 2.6, 2.2, 2.2, 2.7,
...                        2.4, 2.2, 2.5])

>>> my_estimator = ClassicBValueEstimator()
>>> b_value = calculate(
...     magnitudes=magnitudes, mc=2.0, delta_m=0.1)

>>> b_value

1.114920128810535 # depending on the method used