2011
DOI: 10.1029/2011eo020001
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New Software to Analyze How Extremes Change Over Time

Abstract: Average behavior is often studied, with well‐developed techniques from the field of statistics allowing for inferences to be readily made. However, in many atmospheric, hydrologic, and other geophysical problems, extremes are of the greatest interest. The usual statistical methods for averages do not correctly inform scientists about extremes, but a more specialized area of statistical research focused on extremes can be applied instead. Where the normal distribution has theoretical support for use with averag… Show more

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Cited by 190 publications
(116 citation statements)
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“…The 2000s saw the autumn T10 total remain relatively high, but the summer total increased greatly compared to previous decades. Note that the magnitude of the 0.95 and 0.99 quantiles [Gilleland and Katz, 2011] are strongly correlated (p < 0.01) with the decadal T10 totals (Table 6). It is notable that the [2008] have argued that an increase in winter precipitation intensity through the twentieth century was indicative of a long-term trend, whereas fluctuations in summer precipitation intensity were more consistent with interdecadal variability than with any overall trend.…”
Section: Heavy Falls Of Rainmentioning
confidence: 90%
“…The 2000s saw the autumn T10 total remain relatively high, but the summer total increased greatly compared to previous decades. Note that the magnitude of the 0.95 and 0.99 quantiles [Gilleland and Katz, 2011] are strongly correlated (p < 0.01) with the decadal T10 totals (Table 6). It is notable that the [2008] have argued that an increase in winter precipitation intensity through the twentieth century was indicative of a long-term trend, whereas fluctuations in summer precipitation intensity were more consistent with interdecadal variability than with any overall trend.…”
Section: Heavy Falls Of Rainmentioning
confidence: 90%
“…Both models were fit with the R package "extRemes" [36] using the Maximum Likelihood Estimation (MLE) method and profile likelihood was used to obtain the 95% confidence intervals (CI) to capture the uncertainty associated with the EV model parameters. MLE is one of the most commonly used for parameter estimation for EV models [37] and is valid for samples of size n > 25 [38].…”
Section: Block Maxima and Peak Over Threshold Methodsmentioning
confidence: 99%
“…Extreme value theory assumes that data are independent and identically distributed (Coles, 2001;Gilleland and Katz, 2011;Katz, 2010Katz, , 2013Cheng et al, 2014). To test for non-stationarity in the expected value we perform separate Mann-Kendall trend tests (Mann, 1945;Kendall, 1976;Gilbert, 1987) at a significance level of α = 0.05 (Zhang et al, 2004) for the extreme value series of each meteorological indicator.…”
Section: Dealing With Non-stationarity and Dependencymentioning
confidence: 99%