Some long‐run properties of geophysical records
- 1 April 1969
- journal article
- Published by American Geophysical Union (AGU) in Water Resources Research
- Vol. 5 (2) , 321-340
- https://doi.org/10.1029/wr005i002p00321
Abstract
A variety of geophysical records are examined to determine the dependence upon the lag s of a quantity called ‘rescaled range,’ denoted by R(t, s)/S(t, s). If there had been no appreciable dependence between two values of the record at very distant points in time, the ratio R/S would have been proportional to s0.5. But, in fact, as first noted by Edwin Hurst, the R/S ratio of hydrological and other geophysical records is proportional to sH with H ≠ 0.5. Hurst's original claims must be tightened and hedged, and his estimates of H must be discarded, but his general idea will be shown to be correct. We have shown elsewhere that this behavior of R/S means that the strength of long‐range statistical dependence in geophysical records is considerable.This publication has 8 references indexed in Scilit:
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