Articles | Volume 19, issue 2
Hydrol. Earth Syst. Sci., 19, 729–745, 2015
https://doi.org/10.5194/hess-19-729-2015
Hydrol. Earth Syst. Sci., 19, 729–745, 2015
https://doi.org/10.5194/hess-19-729-2015

Research article 04 Feb 2015

Research article | 04 Feb 2015

Scalable statistics of correlated random variables and extremes applied to deep borehole porosities

A. Guadagnini et al.

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Cited articles

Akaev, A., Sadovnichy, V., and Korotayev, A.: On the dynamics of the world demographic transition and financial-economic crises forecasts, Eur. Phys. J.-Special Topics, 205, 355–373, https://doi.org/10.1140/epjst/e2012-01578-2, 2012.
Amitrano, D.: Variability in the power-law distributions of rupture events, Eur. Phys. J.-Special Topics, 205, 199–215, https://doi.org/10.1140/epjst/e2012-01571-9, 2012.
Ancey, C.: Are there "dragon-kings" events (i.e. genuine outliers) among extreme avalanches?, Eur. Phys. J.-Special Topics, 205, 117–129, https://doi.org/10.1140/epjst/e2012-01565-7, 2012.
Andrews, D. F. and Mallows, C. L.: Scale Mixtures of Normal Distributions, J. Roy. Stat. Soc. B Met., 36, 99–102, 1974.
Arnold, B. C.: Pareto and Generalized Pareto Distributions, in: Modeling Income Distributions and Lorenz Curves, edited by: Chotikapanich, D., Springer Science & Business Media, New York NY, 119–145, 2008.
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Short summary
Previously we have shown that many earth-system and other variables can be viewed as samples from scale mixtures of truncated fractional Brownian motion or fractional Gaussian noise. Here we study statistical scaling of extreme absolute increments associated with such samples. As a real example we analyze neutron porosities from deep boreholes in diverse depositional units. Phenomena we uncover are relevant to the analysis of fluid flow and solute transport in complex hydrogeologic environments.