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Extreme value statistics and thermodynamics of earthquakes: aftershock sequences
Pareto and beta power laws cluster dimension frequency-magnitude regression laws order-statistics indipendence and clustering thermodynamics of aftershocks
2015/9/29
The Gutenberg-Richter magnitude-frequency law takes into account the minimum detectable magnitude, and treats aftershocks as if they were independent and identically distributed random events. A new m...
Extreme value statistics and thermodynamics of earthquakes: large earthquakes
Gutemberg-Richter Pareto laws
2015/9/28
A compound Poisson process is used to derive a new shape parameter which can be used to discriminate between large earthquakes and aftershock sequences. Sample exceedance distributions of large earthq...
Primordial Non-Gaussianity and Extreme-Value Statistics of Galaxy Clusters
Primordial Non-Gaussianity Extreme-Value Statistics Galaxy Clusters
2011/10/20
What is the size of the most massive object one expects to find in a survey of a given volume? In this paper, we present a solution to this problem using Extreme-Value Statistics. We calculate the pro...
Weather regime dependence of extreme value statistics for summer temperature and precipitation
Weather regime dependence extreme value statistics summer temperature
2009/10/30
Extreme Value Theory (EVT) is a useful tool to describe the statistical properties of extreme events. Its underlying assumptions include some form of temporal stationarity in the data. Previous studie...
A Statistical Methodology for Determination of Safety Systems Actuation Setpoints Based on Extreme Value Statistics
Methodology Statistics
2009/9/3
This paper provides a novel and robust methodology for determination of nuclear reactor trip setpoints which accounts for uncertainties in input parameters and models, as well as accounting for the va...