The statistical distribution of the spatial maxima of a wavy sea surface

Sun Fu; Ding Ping-xing; Guan Chang-long

doi:10.1007/BF02845467

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The statistical distribution of the spatial maxima of a wavy sea surface

Updated：2023-05-16

- The statistical distribution of the spatial maxima of a wavy sea surface
- Journal of Oceanology and Limnology Vol. 12, Issue 1, Pages: 1-12(1994)
- Affiliations：
  
  1. Laboratory of Physical Oceanography
  2. Institute of Estuarine and Coastal Research
  3. Institute of Physical Oceanography
- Author bio：
- Funds：
- DOI：10.1007/BF02845467
  CLC：
- Published：1994
- Accepted：
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Fu, S., Ping-xing, D. & Chang-long, G. The statistical distribution of the spatial maxima of a wavy sea surface., Chin. J. Ocean. Limnol. 12, 1–12 (1994). https://doi.org/10.1007/BF02845467
DOI：

Fu, S., Ping-xing, D. & Chang-long, G. The statistical distribution of the spatial maxima of a wavy sea surface., Chin. J. Ocean. Limnol. 12, 1–12 (1994). https://doi.org/10.1007/BF02845467 DOI：

摘要

Abstract

A statistical distribution of the maxima of a random function in two space variables is suggested to fit with stereo observations of the sea surface. The presented distribution is a complicated mix of Gaussian

Rayleighian and Maxwellian distributions and determined by three parameters of the directional spectrum. According to the changes of the three parameters it may approach the above three distributions respectively in special cases so that it has more probability of fitting stereo data better. In addition

the fact that these parameters can be directly estimated from observed data is briefly discussed in the paper.

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references

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Cartwright, D. E. and Longuet-Higgins, M. S., 1956. The statistical distribution of the maxima of a random function.Proc. Roy. Soc. London 237(1209): 212–232.

Kralov, U. M., 1958. Statistical theory and computation of oceanic wind waves, Part II.Proc. of State Oceanographic Inst. of U. S. S. R. 42: 3–38 (in Russian)

Long, R. B., 1980. The statistical evaluation of directional spectrum estimates derived from Pitch/Roll buoy data.J. P. O. 10(6): 944–952.

Longuet-Higgins, M. S., 1957. The statistical analysis of a random moving surface.Phil. Trans. Roy. Soc.,A 249 (966): 321–387.

Ogura, H. and Takahashi, H., 1990. Probability Distribution of Maxima of Random Field, ISITA 90, Nov. 27–30, Hawaii, U. S. A. pp. 379–382.

Phillps, P. M., 1977. The Dynamics of the Upper Ocean. 2nd Cambridge University Press, Cambridge, pp. 183–188.

Sun Fu, 1988. Statistical distribution of wave characteristics for three dimensional sea waves,Scientia Sinica 31 (12): 1460–1466.

Wen Shengchang and Yu Zhouwen, 1983. Ocean Wave Theory and Principle of Computation. Science Press, Beijing, pp. 169–170. (in Chinese)

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