Thewhere µx and µy are the means of the random variables xand y, respectively; σx and σy are the standard deviationsof the random variables x and y, respectively; ρ is thecorrelation coefficient between x and y (-1 < ρ < 1); exp isthe Euler number (2,71...); π is the constant 3.14.In order to validate the use of the normal probabilitydistribution function for each variable, the statistic thatjudges the adjustment to goodness-of-fit was calculatedaccording to the methods of Kolmogorov-Smirnov (KS),evaluated in accordance with the maximum significantdifference between the theoretical distribution and theempirical distribution and Shapiro-Wilk (SW). In turn,the correlation structure between x and y was evaluatedwith the Pearson’s correlation coefficient, and the MannKendalltest to detect the meaning of the tendency that theonset of the rainy season has experienced over the years
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