TECHNICAL PAPERS
Apr 1, 2001

Effect of Short-Term Memory on Hurst Phenomenon

Publication: Journal of Hydrologic Engineering
Volume 6, Issue 2

Abstract

The Hurst exponent of hydrologic time series is investigated after accounting for the short-term memory. Different versions of the rescaled range statistic are used in this study to investigate the rescaled range characteristics of hydrologic time series. The modified rescaled range accounts for short-term memory in a series. It is shown that, if the modified rescaled range is used, the Hurst exponent is close to 0.5 for standardized monthly series, indicating the absence of long-term memory in these series. Estimates of the Hurst exponent for annual series do not change very much when short-term memory is considered in its estimation.

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References

1.
Bhattacharya, D. ( 1996a). “Rescaled range characteristics of annual hydrologic series.” Tech. Rep. CE-EHE-96-3(c), Envir. and Hydr. Engrg., Purdue University, West Lafayette, Ind.
2.
Bhattacharya, D. ( 1996b). “Rescaled range characteristics of monthly hydrologic series-I.” Tech. Rep. CE-EHE-96-3(a), Envir. and Hydr. Engrg., Purdue University, West Lafayette, Inc.
3.
Bhattacharya, D. ( 1996c). “Rescaled range characteristics of monthly hydrologic series-II.” Tech. Rep. CE-EHE-96-3(b), Envir. and Hydr. Engrg., Purdue University, West Lafayette, Ind.
4.
Bhattacharya, D., and A. R. Rao. ( 1997). “Memory in hydrologic time series.” Tech. Rep. CE-EHE, 97-2, School of Civ. Engrg., Purdue University, West Lafayette, Ind.
5.
Tech. Rep., EarthInfo Inc., Boulder, Colo.
6.
Hipel, K. W., and McLeod. ( 1994). Time series modelling of water resources and environmental systems, Elsevier Science, Amsterdam.
7.
Hurst, H. ( 1951). “Long term storage capacity of reservoirs.” Trans. ASCE, 116, 770–799.
8.
Kashyap, R. L., and Rao, A. R. ( 1976). “Modeling river flows.” Dynamic stochastic models from empirical data, Academic, New York, 238–281.
9.
Lo, A. L. ( 1991). “Long-term memory in stock market prices.” Econometrica, 59(5), 1279–1313.
10.
Lo, A. L., and MacKinly, C. ( 1989). “The size and power of the variance ratio test in finite samples: A Monte Carlo investigation.” J. Econometrics, 40, 203–238.
11.
Lye, L. M., and Lin, Y. ( 1994). “Long-term dependence in annual peak flows of Canadian rivers.” J. Hydro., Amsterdam, 160, 89–103.
12.
Mandelbrot, B., and Wallis, J. ( 1969a). “Computer experiments with fractional Gaussian noises. Part 1, 2, 3.” Water Resour. Res., 5, 228–267.
13.
Mandelbrot, B., and Wallis, J. ( 1969b). “Robustness of the rescaled range r/s in the measurement of noncyclic long run statistical dependence.” Water Resour. Res., 5, 967–988.
14.
Mandelbrot, B., and Wallis, J. ( 1969c). “Some long run properties of geophysical records.” Water Resour. Res., 5, 321–340.
15.
Newey, W., and West, K. ( 1987). “A simple positive definite, heteroscedasticity and autocorrelation consistent covariance matrix.” Econometrica, 55, 703–705.
16.
Philips, P. ( 1987). “Time series regression with a unit roof.” Econometrica, 55, 277–301.
17.
Rao, A. R., and Bhattacharya, D. ( 2000). “Hypothesis testing for long-term memory in hydrologic series.” J. Hydro., Amsterdam.
18.
Thomson, D. J. ( 1982). “Spectrum estimation and harmonic analysis.” Proc., IEEE, 70, 1055–1096.

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Go to Journal of Hydrologic Engineering
Journal of Hydrologic Engineering
Volume 6Issue 2April 2001
Pages: 125 - 131

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Published online: Apr 1, 2001
Published in print: Apr 2001

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Associate Member, ASCE
School of Civ. Engrg., Purdue Univ., West Lafayette, IN 47907-1284.
AT&T, 600 Mountain Ave., Murray Hill, NJ 07974.

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