Theory Development on Uncertainty Estimation for Measures of Data Misfit

摘要：

　　This paper employs Bayesian inference theory to study the uncertainty caused by different measures of data misfit,i.e.sum-of-square measure,Huber measure and robust measure.Probability distributions for various commonly used measures are developed,providing theoretical background for uncertainty estimates caused by a particular choice of misfit measures.Inversion results from a simple 3-layer Magnetotelluric (MT) case show that for Gaussian data,uncertainties caused by sum-of-square measure,Huber measure and robust meausre are generally similar.For the perturbed data with 2 outliers added to the Gaussian data,uncertainty distributions of sum-of-squares are relatively smaller than that of Huber measure and robust measure.The sum-of-square measure artificially generates small uncertainty estimates and gives an illusion that the inversion has been better resolved.

关键词： Bayesian inversion Misfit Parameterization Magnetotelluric method

作者: Rongwen Guo Jianxin Liu Haifei Liu Xiaozhong Tong Chunming Liu

作者单位: School of Info-physics and Geomatics Engineering, Central South University, Changsha, 410038

会议类型: 国际会议

会议名称: 第五届环境与工程地球物理国际会议(ICEEG 2012)

会议地点: 长沙

会议语种:英文

页码: 144-151

在线出版日期: 2012-06-15（万方平台首次上网日期，不代表论文的发表时间）