analysis.AMorePositiveAValueEstimator#

class seismostats.analysis.AMorePositiveAValueEstimator#

Returns the a-value of the Gutenberg-Richter (GR) law using earthquake pairs for which the latter is the first one that is larger than the former by some margin, \(m_j \ge m_{i} + dmc\).

Source:: van der Elst and Page 2023 (JGR: Solid Earth, Vol 128, Issue 10).

Examples

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

>>> magnitudes = np.array([2.1, 2.3, 2.0, 2.0, 2.1, 2.2, 2.1, 2.3,
...                        2.0, 2.0])
>>> times = np.array([1, 2, 3, 4, 5, 6, 7, 8, 9, 10])

>>> my_estimator = AMorePositiveAValueEstimator()
>>> my_estimator.calculate(magnitudes=magnitudes, mc=2.0,
...     delta_m=0.1, times=times, b_value=1.0)

>>> my_estimator.a_value

0.730070812347905

Attributes

`a_value`	The a value of the Gutenberg-Richter law.
`b_value`	The b-value of the Gutenberg-Richter law.
`delta_m`	The bin size of the discretized magnitudes.
`m_ref`	The reference magnitude.
`magnitudes`	The magnitudes used to estimate the a-value.
`mc`	The completeness magnitude.
`n`	Number of magnitudes used to estimate the a-value.
`scaling_factor`	The scaling factor.
`std`	Uncertainty of the a-value estimate, implemented as a placeholder.
`value`	The a value of the Gutenberg-Richter law.

Methods

calculate

param magnitudes:: Array of magnitudes.