作者: Chen‐Fen Huang , Peter Gerstoft , William S. Hodgkiss
DOI: 10.1121/1.4786149
关键词: Covariance function 、 Likelihood function 、 Independent and identically distributed random variables 、 Covariance 、 Algorithm 、 Gaussian 、 Estimation of covariance matrices 、 Mathematics 、 Inverse problem 、 Covariance matrix 、 Statistics 、 Acoustics and Ultrasonics 、 Arts 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...