Parameter estimation in exponential models by linear and nonlinear fitting methods

	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
	2017
发表期刊	Frontiers of Information Technology & Electronic Engineering
卷号	18 期号:3
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.
收录类别	sci ; ei
语种	英语
文献类型	期刊论文
条目标识符	http://ir.ciomp.ac.cn/handle/181722/59383
专题	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).

条目包含的文件		下载所有文件
文件名称/大小	文献类型	版本类型	开放类型	使用许可
Parameter estimation（660KB）	期刊论文	作者接受稿	开放获取	CC BY-NC-SA	浏览下载