TECHNICAL NOTES
Mar 1, 1986
Probability Distribution of Spectral Integrals
Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 112, Issue 2
Abstract
A statistical analysis is performed to determine the probability distribution applicable to spectral integrals. This analysis shows that, since the spectrum of a stationary Gaussian random process follows a chi-square distribution, the integral of the spectrum will also be chi-squared. The number of degrees of freedom of the spectral integral depends on the shape of the spectrum. As a practical example, confidence limits are calculated for significant wave height estimates obtained by integrating the wave spectrum.
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References
1.
Bendat, J. S., and Piersol, A. G., “Random Data: Analysis and Measurement Procedures,” John Wiley and Sons, New York, NY, 1971.
2.
Hasselmann, K., et al., “Measurement of Wind‐Wave Growth and Swell Decay during the Joint North Sea Wave Project (JONSWAP),” Deutsche Hydrographische Zeitschrift, Reihe A (8°), Nr. 12, 1973, pp. 1–95.
3.
Jenkins, G. M., and Watts, D. G., “Spectral Analysis and its Application,” Holden‐Day, San Francisco, CA, 1969.
4.
Otnes, R. K, and Enochson, L., “Applied Time Series Analysis, Vol. 1: Basic Techniques,” John Wiley and Sons, New York, NY, 1978.
Information & Authors
Information
Published In
Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 112 • Issue 2 • March 1986
Pages: 338 - 341
Copyright
Copyright © 1986 ASCE.
History
Published online: Mar 1, 1986
Published in print: Mar 1986
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Authors
Affiliations
Ian R. Young, A. M. ASCE
Research Fellow, Dept. of Civ. and Systems Engrg., James Cook Univ., Townsville, Qld. 4811, Australia
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