Long-range correlations and rare events in boundary layer wind fields

We analyse the statistics of extreme events in the boundary layer wind fields. We focus on the wind speeds that are long-term correlated and show that its distribution of the return intervals of rare events is a stretched exponential and the stretching exponent, to within the numerical errors, is identical to the long-term correlation exponent γ. We also analyse correlations among the return intervals which are themselves long-term correlated with an exponent close to γ. This work complements the results obtained by Bunde et al. (Physica A 330 (2003) 1).