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	Parameter estimation in exponential models by linear and nonlinear fitting methods
	Yang, P.; C. P. Wu; Y. L. Guo; H. B. Liu; H. Huang; H. Z. Wang; S. Y. Zhan; B. Y. Tao; Q. Q. Mu; Q. Wang and H. Song
刊名	Frontiers of Information Technology & Electronic Engineering
	2017
卷号	18期号:3
英文摘要	Estimation of unknown parameters in exponential models by linear and nonlinear fitting methods is discussed. Based on the extreme value theorem and Taylor series expansion, it is proved theoretically that the parameters estimated by the linear fitting method alone cannot minimize the sum of the squared residual errors in the measurement data when measurement noise is involved in the data. Numerical simulation is performed to compare the performance of the linear and nonlinear fitting methods. Simulation results show that the linear method can obtain only a suboptimal estimate of the unknown parameters and that the nonlinear method gives more accurate results. Application of the fitting methods is demonstrated where the water spectral attenuation coefficient is estimated from underwater images and imaging distances, which supports the improvement in the accuracy of parameter estimation by the nonlinear fitting method.
语种	英语
内容类型	期刊论文
源URL	[http://ir.ciomp.ac.cn/handle/181722/59383]
专题	长春光学精密机械与物理研究所_中科院长春光机所知识产出
推荐引用方式 GB/T 7714	Yang, P.,C. P. Wu,Y. L. Guo,et al. Parameter estimation in exponential models by linear and nonlinear fitting methods[J]. Frontiers of Information Technology & Electronic Engineering,2017,18(3).
APA	Yang, P..,C. P. Wu.,Y. L. Guo.,H. B. Liu.,H. Huang.,...&Q. Wang and H. Song.(2017).Parameter estimation in exponential models by linear and nonlinear fitting methods.Frontiers of Information Technology & Electronic Engineering,18(3).
MLA	Yang, P.,et al."Parameter estimation in exponential models by linear and nonlinear fitting methods".Frontiers of Information Technology & Electronic Engineering 18.3(2017).

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