Long-range correlation of extreme events in meterorological field

The long range correlation of extreme events of the Lorenz system is discussed by using the method of fixed threshold. It turns out that all of the extreme events with different threshold have long range correlation. The scaling exponents are similar, but just smaller than the original series. The long range correlation of extreme events is less effected by the initial value changes, but it decreases distinctly when the parameters increases. The long range correlation of Lorenz system's extreme events series has the traits of memory when compared with Gaussian white noise. Finally, we use the maximal day air temperature data of 194 stations, between 1957 and 2004, from the National Climate Center of China, to reveal that the similar law exists in the actual meteorological factors.