2014
DOI: 10.1590/s0100-69162014000500018
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Dry months in the agricultural region of Ribeirão Preto, state of São Paulo-Brazil: an study based on the extreme value theory

Abstract: ABSTRACT:The application of the Extreme Value Theory (EVT) to model the probability of occurrence of extreme low Standardized Precipitation Index (SPI) values leads to an increase of the knowledge related to the occurrence of extreme dry months. This sort of analysis can be carried out by means of two approaches: the block maxima (BM; associated with the General Extreme Value distribution) and the peaks-over-threshold (POT; associated with the Generalized Pareto distribution). Each of these procedures has its … Show more

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Cited by 5 publications
(4 citation statements)
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References 23 publications
(45 reference statements)
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“…With the parameters estimated, goodness of fit criteria of the GPD model were evaluated. The Kolmogorov Smirnov (KS) test was used to compare the theoretical cumulative distribution and the empirical cumulative distribution [28]. The Ljung Box (LB) independence test, whose statistics are compared with the -th quantile of the chi-squared distribution with one degree of freedom.…”
Section: Hypothesis Testingmentioning
confidence: 99%
“…With the parameters estimated, goodness of fit criteria of the GPD model were evaluated. The Kolmogorov Smirnov (KS) test was used to compare the theoretical cumulative distribution and the empirical cumulative distribution [28]. The Ljung Box (LB) independence test, whose statistics are compared with the -th quantile of the chi-squared distribution with one degree of freedom.…”
Section: Hypothesis Testingmentioning
confidence: 99%
“…A verificação do ajuste da distribuição Gumbel aos dados pode ser feita mediante um teste de aderência. Para tal, foi utilizado o teste de Kolmogorov-Smirnov, em conformidade com Blain (2014), adotando 5% como nível de signi-ficância. A verificação da precisão das estimativas dos parâmetros da distribuição Gumbel foi feita utilizando o Erro Padrão Relativo das estimativas dos parâmetros μ e σ , que são dados por: Dada a especificação da distribuição Gumbel e suas estimativas de parâmetros, é possível proceder com o cálculo de probabilidades.…”
Section: Metodologiaunclassified
“…The goodness of fit for each distribution was validated using the Kolmogorov Smirnov (KS) adherence test in conjunction with the Q-Q plots [20,21]. The Q-Q plot consists of the points where F À1 p i ÀÁ is the inverse function of the cumulative distribution function of a given probability distribution, p i are the percentiles and x i are the data used to fit the model, ordered in ascending and n the sample size.…”
Section: Modeling Maximum Sensory Scores and Numerical Proceduresmentioning
confidence: 99%