Hurst found that many empirical distributions were compatible with where H is called the Hurst (or Hölder) exponent (and is essentially equivalent to
{"Image DocumentName": "Hurst found that many empirical distributions were compatible with", "Image ImageDescription": "where H is called the Hurst (or H\u00f6lder) exponent (and is essentially equivalent to the exponent \u03bd of self-avoiding walks). These records includes. River discharges. Lake varves (sediment layers) Tree rings. Temperatures and rainfall. Sunspot numbers. Porosity of drilled rock cores. Gaussian random walks have and S independent of N, giving H=1/2. This is true of all uncorrelated walks including Cauchy and L\u00e9vy walks, although the walks look quite different! This can be verified by simulation. R/S can often be quite well-behaved even if Rand S are not!", "Image XResolution": "37", "Image YResolution": "37", "Image ResolutionUnit": "Pixels/Centimeter", "Image Software": "SlidePlayer", "Image YCbCrPositioning": "Centered"}