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Weibull distribution

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Journal Article
Published: 01 May 2000
Journal of Sedimentary Research (2000) 70 (3): 456–460.
... be illuminated somewhat by recognizing that the Rosin distribution is the same as the well-studied Weibull distribution. However, it can be difficult to distinguish the lognormal, Rosin (Weibull), and even gamma distributions in particle size distribution curves. Brennan and Durrett (1987) suggest...
FIGURES
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Comparison of gamma and <b>Weibull</b> <b>distributions</b> for spatial variability at tw...
Published: 01 August 2011
Figure 4. Comparison of gamma and Weibull distributions for spatial variability at two values of position. These examples are for AD and are independent of magnitude. These distributions are used to ultimately obtain a distribution for displacement.
Journal Article
Published: 01 December 2006
Bulletin of the Seismological Society of America (2006) 96 (6): 1995–2007.
... accumulation and the strength of the fault. Very few faults have a recorded history of earthquakes that define a distribution well. For hazard assessment, in general, a statistical distribution of recurrence times is assumed along with parameter values. Assumed distributions include the Weibull (stretched...
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Journal Article
Published: 01 July 2011
Russ. Geol. Geophys. (2011) 52 (7): 737–744.
... and Weibull distributions are the frequently used methods in this regard. In this study, we investigate the interoccurence time statistics of earthquakes which occurred in the area coordinated 39º–42º N latitude and 30º–40º E longitude in the North Anatolian Fault Zone (NAFZ) between the years 1960–2008...
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Journal Article
Published: 01 October 2007
Bulletin of the Seismological Society of America (2007) 97 (5): 1679–1687.
..., the recurrence time distribution of earthquakes on one fault follows mostly the Brownian passage-time distribution. For a strongly coupled system, the faults are synchronized and the effect of instantaneous triggering becomes dominant: the recurrence time distribution follows a Gamma or a Weibull distribution...
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Journal Article
Published: 01 August 1997
Bulletin of the Seismological Society of America (1997) 87 (4): 789–798.
.... The periodic, uniform, semi-Gaussian, Rayleigh, and truncated statistical distributions of interval times, as well as the Weibull distributions with exponent greater than 1, all have decreasing expected time to the next earthquake with increasing time since the last one, for long times since the last...
Journal Article
Journal: Geophysics
Published: 11 September 2020
Geophysics (2020) 85 (5): D145–D155.
... should be constructed in a simpler form. We have aimed to develop a forward model using mathematical functions not based on physical principles. The Weibull (WB) growth model, which is primarily used to describe the time-varying curve features in regression analysis, is introduced into the basic...
Journal Article
Published: 01 August 1987
Bulletin of the Seismological Society of America (1987) 77 (4): 1382–1399.
... interval. The lognormal distribution is found to provide a better fit to the T/T ave data than the more commonly used Gaussian and Weibull distributions, and it has an appealing physical interpretation. The observation of a small and stable coefficient of variation (the ratio of the standard deviation...
Journal Article
Journal: Geology
Published: 01 September 2007
Geology (2007) 35 (9): 839–842.
... on different time scales, both described by Weibull distributions. At the Kameni Islands, Santorini, Greece, model-fitting parameters vary between eruption cycles. Rates of magma rise and pressurization may be the most important controls in determining the statistical distribution of repose intervals...
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Journal Article
Published: 04 October 2016
Bulletin of the Seismological Society of America (2016) 106 (6): 2624–2639.
.... Large earthquakes on the individual faults show quasi‐periodic behavior, and for most faults can be well represented by the Weibull distribution. We present the corresponding time‐dependent conditional probabilities for large earthquakes throughout the region and for a few selected individual faults...
Journal Article
Published: 18 February 2014
Bulletin of the Seismological Society of America (2014) 104 (2): 898–912.
... simultaneously. (2) The coefficient of variation C v of the recurrence interval tends to increase with the complexity of a segment or fault. (3) The Brownian passage time distribution represents the best fit for each of the four individual segments, whereas the Weibull distribution matches the entire NPXF best...
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Journal Article
Published: 01 February 2013
Earthquake Spectra (2013) 29 (1): 127–153.
... hazard are investigated by means of fragility analysis. Random earthquakes are generated using Latin Hypercube sampling technique, and probabilities of exceeding specific structural damage states are computed for each specific seismic scenario. Traffic hazard is assessed considering Weibull distributed...
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Journal Article
Published: 01 December 1984
Bulletin of the Seismological Society of America (1984) 74 (6): 2559–2576.
...Shozo Matsumura Abstract A technique to express changes in seismicity patterns by means of an objective criterion has been investigated. A parameter v 2 = ( Δ ¯ ) 2 / Δ ¯ 2 , where Δ is the distance between two adjacent earthquakes in space and time, was derived on the basis of the Weibull...
Journal Article
Published: 01 April 1984
Bulletin of the Seismological Society of America (1984) 74 (2): 739–755.
...Anne S. Kiremidjian; Thalia Anagnos Abstract A slip-predictable stochastic model is presented based on Markov renewal theory. Times between successive events are assumed to be Weibull-distributed with an increasing hazard rate. The model forecasts probabilities of earthquake occurrences conditional...
Image
An ideal <b>Weibull</b> cumulative frequency <b>distribution</b> (evaluated at forty poin...
Published: 01 May 2000
Figure 1 An ideal Weibull cumulative frequency distribution (evaluated at forty points) plotted on a lognormally transformed scale. The dots are points drawn from the ideal Weibull distribution, with parameters drawn from example 10 in table 11 of Rosin and Rammler (1933) . The straight line
Image
Comparison of EPHR estimates among the lognormal, BPT, and <b>Weibull</b> recurren...
Published: 12 December 2017
Figure 14. Comparison of EPHR estimates among the lognormal, BPT, and Weibull recurrence models. Lognormal and BPT distributions are very similar, and EPHR estimates nearly overlie one another. The Weibull distribution shape has somewhat more weight on early recurrence excluded by the preferred
Journal Article
Journal: Geophysics
Published: 26 November 2018
Geophysics (2019) 84 (1): B1–B14.
...Suhail Sayyid Ahmad; Wiktor W. Weibull; R. James Brown; Alejandro Escalona ABSTRACT Using 3D broadband seismic data, we have investigated low-frequency seismic amplitude anomalies associated with and below various geologic formations in the Johan Sverdrup oil field situated in the central North Sea...
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Journal Article
Journal: Geophysics
Published: 29 January 2016
Geophysics (2016) 81 (1): E57–E68.
...Martin Panzner; Jan Petter Morten; Wiktor Waldemar Weibull; Børge Arntsen ABSTRACT Subbasalt imaging has gained significant interest in the last two decades, driven by the urge to better understand the geologic structures beneath volcanic layers, which can be up to several kilometers thick...
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Journal Article
Journal: Geophysics
Published: 11 March 2019
Geophysics (2019) 84 (3): R341–R353.
...Chenlong Wang; Jiubing Cheng; Wiktor Waldemar Weibull; Børge Arntsen ABSTRACT Multicomponent seismic data acquisition can reveal more information about geologic structures and rock properties than single component acquisition. Full elastic wave seismic imaging, which uses multicomponent seismic...
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Journal Article
Journal: Geophysics
Published: 03 June 2013
Geophysics (2013) 78 (4): S179–S192.
...Wiktor Waldemar Weibull; Børge Arntsen ABSTRACT We apply a method to automatically estimate the background velocities using reverse-time migration. The method uses a combination of differential semblance and similarity-index (a.k.a., “semblance” or “stacking-power”) to measure the focusing error...
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