analysis.BMorePositiveBValueEstimator#

class seismostats.analysis.BMorePositiveBValueEstimator#

Estimator to calculate the b-value and other parameters 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:: E. Lippiello and G. Petrillo. Journal of Geophysical Research: Solid Earth, 129(2):e2023JB027849, 2024.

Examples

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

>>> 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 = BMorePositiveBValueEstimator()
>>> my_estimator.calculate(
...     magnitudes=magnitudes, mc=2.0, delta_m=0.1, dmc=0.2)

>>> my_estimator.b_value

2.253092817258629

Attributes

`b_value`	The b-value of the Gutenberg-Richter law.
`beta`	The beta value of the Gutenberg-Richter law.
`delta_m`	Bin size of the discretized magnitudes.
`dmc`	The dmc value used for the calculation.
`magnitudes`	The positive magnitude differences used for the calculation.
`mc`	The completeness magnitude used to estimate the b-value.
`n`	Number of magnitudes used to estimate the b-value.
`std`	Bootstrap uncertainty of the b-value estimate.
`std_beta`	Bootstrap uncertainty of the beta estimate.
`value`	The b-value of the Gutenberg-Richter law.
`weights`	The weights used to estimate the b-value.

Methods

`calculate`	Calculates the b-value of the Gutenberg-Richter (GR) law.
`p_lilliefors`	p-value of the Lilliefors test.