The Hurst Phenomenon: A puzzle?
- 1 August 1974
- journal article
- Published by American Geophysical Union (AGU) in Water Resources Research
- Vol. 10 (4), 675-688
- https://doi.org/10.1029/wr010i004p00675
Abstract
It is shown that the Hurst phenomenon is not necessarily an indicator of infinite memory of a process. It can also be caused by nonstationarity in the mean and by random walks with one absorbing barrier, which often arise in natural storage systems. Attention is drawn to the fact that inferences about physical features of a process, based on operational models, can be not only inaccurate but grossly misleading.This publication has 16 references indexed in Scilit:
- FIRM RESERVOIR YIELD—HOW RELIABLE ARE HISTORIC HYDROLOGICAL RECORDS?Hydrological Sciences Bulletin, 1973
- CRUSTAL MOVEMENT OF THE GREAT LAKES—TIME SERIES ANALYSISHydrological Sciences Bulletin, 1973
- Broken line process derived as an approximation to fractional noiseWater Resources Research, 1972
- Stochastic Models in HydrologyWater Resources Research, 1970
- Some long‐run properties of geophysical recordsWater Resources Research, 1969
- Computer Experiments With Fractional Gaussian Noises: Part 1, Averages and VariancesWater Resources Research, 1969
- Fractional Brownian Motions, Fractional Noises and ApplicationsSIAM Review, 1968
- Time-dependent results in storage theoryJournal of Applied Probability, 1964
- A Suggested Statistical Model of some Time Series which occur in NatureNature, 1957
- The Asymptotic Distribution of the Range of Sums of Independent Random VariablesThe Annals of Mathematical Statistics, 1951