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Modified Weibull distribution for maximum and significant wave height simulation and prediction
Authors:G. Muraleedharan  A.D. Rao  P.G. Kurup  N. Unnikrishnan Nair  Mourani Sinha
Affiliation:1. Centre for Atmospheric Sciences, Indian Institute of Technology Delhi, Hauz Khas, New Delhi-110 016, India;2. Amrita Institutions, Ashram Lane, Azad Road, Cochin-682 017, India;3. Department of Statistics, Cochin University of Science and Technology, Cochin-682 022, India
Abstract:Calibration coefficients incorporated in the modified Weibull distribution are more effective for maximum wave height simulation. The parametric relations are derived there from to estimate various wave height statistics including extreme wave heights. The characteristic function of the Weibull distribution is derived. The Weibull distribution is suggested for the newly defined significant wave height simulation by the method of characteristic function. The statistical tools suggested and developed here for predicting the required wave height statistics are validated against the wave data (both deep and shallow) of eastern Arabian Sea comprising rough monsoon conditions also, giving reasonable accuracy.
Keywords:Modified Weibull distribution   Extreme wave heights   Characteristic function of Weibull distribution   Newly defined significant wave height
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