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Benford's law

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Journal Article
Journal: Interpretation
Published: 17 July 2018
Interpretation (2018) 6 (3): T689–T697.
...Isadora A. S. de Macedo; Jose Jadsom S. de Figueiredo Abstract Benford’s law (BL) is a mathematical theory of leading digits. This law predicts that the distribution of first digits of real-world observations is not uniform and follows a trend in which measurements with a lower first digit (1, 2...
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Journal Article
Published: 26 November 2014
Seismological Research Letters (2015) 86 (1): 192–201.
... of the first digits of the amplitude values and evaluate the conformity to BL by using statistical criteria. In a first step, we follow the procedure of Sambridge et al. (2010) , who defined a Benford’s law estimator (BL e ) as (2) in which P obs ( d ) stands for the observed proportion of digit d...
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Journal Article
Journal: Geology
Published: 01 April 2012
Geology (2012) 40 (4): 327–330.
...A. Geyer; J. Martí Abstract Benford's law predicts that the distribution of first digits of real-world observations is not uniform, but instead the lower digits (1, 2, and 3) occur more frequently than the higher ones (… , 8, 9). It has been shown that the use of Benford's law may help...
FIGURES
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Identification of teleseismic and local events using <span class="search-highlight">Benford’s</span> <span class="search-highlight">law</span> (BL). (L...
Published: 26 November 2014
Figure 1. Identification of teleseismic and local events using Benford’s law (BL). (Left) The vertical seismic components are overlaid by the Benford’s law estimator (BL e ) values. Solid‐ and dashed‐line boxes, respectively, show examples of time windows with and without positive detections
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First-digit frequencies according to <span class="search-highlight">Benford&#x27;s</span> <span class="search-highlight">law</span> prediction (Equation  1 ...
Published: 01 April 2012
Figure 1. First-digit frequencies according to Benford's law prediction (Equation 1 ) compared to (A) the data set of areas in square kilometers for the 346 collapse calderas in the Collapse Caldera Database (CCDB) ( http://www.gvb-csic.es/CCDB.htm ) with the area recorded, and (B) the data set
Image
First-digit frequencies according to <span class="search-highlight">Benford&#x27;s</span> <span class="search-highlight">law</span> prediction (Equation  1 ...
Published: 01 April 2012
Figure 2. First-digit frequencies according to Benford's law prediction (Equation 1 ) compared to the data set of duration of volcanic eruptions in days, which occurred during the period 1900–2009, extracted from the Smithsonian Institution's Global Volcanism Program volcanic eruptions catalogue
Journal Article
Journal: Lithosphere
Publisher: GSW
Published: 01 April 2017
Lithosphere (2017) 9 (2): 223–234.
... because (1) it has been modeled as a transpressional shear zone (e.g., Giorgis and Tikoff, 2004 ; Giorgis et al., 2005 ; Davis and Giorgis, 2014 ); (2) it has a primary bend in its orientations ( Braudy et al., 2016 ; Schmidt et al., 2016 ), which should correspond to different kinematics ( Benford et...
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Journal Article
Journal: Geology
Published: 01 July 2016
Geology (2016) 44 (7): 563–566.
... frequency of earthquakes and decreasing sedimentation rate. This increase in stability is nonlinear (power law with b < 0.5), accelerating with decreasing interseismic sediment accumulation. The correlation is interpreted as evidence for sediment densification and associated shear strength gain induced...
Journal Article
Published: 06 December 2016
Bulletin of the Seismological Society of America (2017) 107 (1): 229–239.
... plate with influence from the major structures surrounding the northern Caribbean. Because of the accumulated understanding of tectonics, seismicity, and recent Global Positioning System measurements of relative displacements ( DeMetz et al. , 2000 ; DeMetz and Wiggins‐Grandison, 2007 ; Benford et...
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Journal Article
Journal: Lithosphere
Publisher: GSW
Published: 01 April 2017
Lithosphere (2017) 9 (2): 157–183.
... deformation, while the central and eastern parts show parallel magmatic deformation. Similar fabric development in the Payette River Tonalite was described by Manduca et al. (1993) in the McCall area and Benford et al. (2010) in the Owyhee Mountains. The Rat Creek granite is exposed on the east side...
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Journal Article
Journal: Lithosphere
Publisher: GSW
Published: 01 December 2010
Lithosphere (2010) 2 (6): 418–422.
...-rich host rocks (based on a power-law exponent of 3.0 for this dislocation creep process). Detailed mapping also indicates that inclusion of up to 15% orthopyroxene in the olivine-rich host rocks does not affect their viscosity, constraining the rheological behavior of two-phase, mantle material...
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Journal Article
Journal: Geology
Published: 01 October 2015
Geology (2015) 43 (10): 891–894.
... the experimentally derived flow law, , where is strain rate, A is a material constant, σ is differential stress, n is the stress exponent, d is the recrystallized grain size, m is the grain-size exponent, is water fugacity, Q is activation energy, P is pressure, V is activation volume, R...
FIGURES
Journal Article
Journal: Geology
Published: 27 March 2020
Geology (2020) 48 (6): 569–573.
... Caledonia: A possible oceanic transform fault : The Journal of Geology , v. 88 , p. 387 – 398 , https://doi.org/10.1086/628523 . Schmid , S.M. , 1982 , Microfabric studies as indicators of deformation mechanisms and flow laws operative in mountain building , in Hsü , K.J. , ed...
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Journal Article
Published: 16 December 2022
Bulletin of the Seismological Society of America (2023) 113 (1): 99–114.
... ; Masson and Scanlon, 1991 ; Jansma et al. , 2000 ; Benford et al. , 2012 ) that accommodates strain due to the highly oblique contraction between the North America (NA) plate and the Caribbean (CA) plate ( Jansma et al. , 2000 ; Jansma and Mattioli, 2005 ). Figure  1 shows the location of Puerto...
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Journal Article
Published: 13 December 2022
Bulletin of the Seismological Society of America (2023) 113 (1): 115–130.
... dominated by strike‐slip motion, whereas transpressional deformation with significant plate boundary‐perpendicular shortening is observed around the EPGFZ in southern Haiti ( Calais et al. , 2010 ; Benford et al. , 2012 ). Between these two fault zones, there is a series of fold‐and‐thrust belts named...
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Journal Article
Journal: Lithosphere
Publisher: GSW
Published: 01 April 2017
Lithosphere (2017) 9 (2): 184–204.
...., 2007 ). All of the quartz microstructural data (CPO, intragranular misorientation axes, CVA analyses) are consistent with dominantly simple shear deformation ( Lister and Hobbs, 1980 ; Law et al., 1984 ; Law, 2010 ), and when rotated into geographical space indicate reverse, top-to-the-southwest...
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