2011
DOI: 10.1016/j.jhydrol.2011.01.027
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On the frequency of heavy rainfall for the Midwest of the United States

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Cited by 215 publications
(167 citation statements)
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“…Research carried out in the USA [8,9], Australia [10], New Zealand [11], South Africa [12], the United Kingdom [13], and the Mediterranean Basin [14] has highlighted an increase in both daily rainfall intensity and frequency of extreme rainfall events. Some authors have detected a decrease in total annual rainfall [15][16][17][18][19], although an increase in extreme rainfall has also been evidenced [14].…”
Section: : In August Was the Jackal Born; The Rain Fell In September;mentioning
confidence: 99%
“…Research carried out in the USA [8,9], Australia [10], New Zealand [11], South Africa [12], the United Kingdom [13], and the Mediterranean Basin [14] has highlighted an increase in both daily rainfall intensity and frequency of extreme rainfall events. Some authors have detected a decrease in total annual rainfall [15][16][17][18][19], although an increase in extreme rainfall has also been evidenced [14].…”
Section: : In August Was the Jackal Born; The Rain Fell In September;mentioning
confidence: 99%
“…Inversely, so-called underdispersion occurs when Φ < 1. Both overdispersion and underdispersion may violate the assumptions of independence and stationarity underlying the Poisson processes [42,43]. The dispersion coefficient (Equation (2)) was calculated to examine whether the extreme daily precipitation events follow a Poisson process.…”
Section: Poisson Distribution Validationmentioning
confidence: 99%
“…Moreover, the dispersion coefficient was calculated to examine the reliability of the Poisson distribution on extreme daily precipitation events. Furthermore, a Poisson regression model could be employed to detect trends in the occurrence of extreme daily precipitation events [42,45,46]. That is, the number of extreme daily precipitation events in the year y (N y , equals SEPF at a given year y) has a conditional Poisson distribution with the rate of occurrence (λ y ).…”
Section: The Sepf To Analyze Extreme Precipitation Frequency and Its mentioning
confidence: 99%
“…GEV distribution has been widely used in the analysis of hydrological extremes because of its flexibility in representing three asymptotic types of extreme value probability distributions [4,16]. The cumulative probability function (CDF) for GEV distribution is given by:…”
Section: Probability Modelingmentioning
confidence: 99%
“…There are two common ways to study the so called extreme events: one is the annual maximum series (AM) and the other is the peaks over a threshold (POT) series [4][5][6][7]. Rao and Hamed [8] showed that the AM series is statistically more efficient than the POT series when λ is small ( λ ă 1.65 ), where λ is the mean number of peaks per year included in the POT series.…”
Section: Introductionmentioning
confidence: 99%