Owen Dafydd Jones and Yuan Shen, Estimating the Hurst index of a self-similar process via the crossing tree. Signal Processing Letters, 11, pp 416--419, 2004. Abstract: By considering the crossings of size 2^n made by a continuous self-similar process, for n = ..., -1, 0, 1, ..., we build a tree of crossings that encodes the sample path. From the crossing tree we obtain a test for self-similarity and an estimator for the Hurst index H. The accuracy of the estimator is established theoretically and numerically, and a comparison study with three other estimators is given, demonstrating its superior performance. The estimator and self-similarity test are applied to network packet traces, revealing some previously unobserved features.