Data error covariance matrix for vertical array data in an ocean waveguide

作者: Chen‐Fen Huang , Peter Gerstoft , William S. Hodgkiss

DOI: 10.1121/1.4786149

关键词: Covariance functionLikelihood functionIndependent and identically distributed random variablesCovarianceAlgorithmGaussianEstimation of covariance matricesMathematicsInverse problemCovariance matrixStatisticsAcoustics and UltrasonicsArts and Humanities (miscellaneous)

摘要: Information about the data errors is essential for solving any inverse problem. The likelihood function plays a critical role in describing uncertainties geoacoustic inversion. choice of depends on statistics (the difference between observed and estimated fields). In all work to date, has been derived based an assumption Gaussian errors. Typically, are assumed be independent, identically distributed with equal variance (referred as error variance), part optimization. Recently, there interest estimating more full covariance matrix. To estimate truly matrix, we adopt maximum‐likelihood approach ensemble averages using over many inversions. illustrated obtained during ASIAEX 2001 East China Sea experiment. parameter resulting fr...

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