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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
2017
Source PublicationFrontiers of Information Technology & Electronic Engineering
Volume18Issue:3
AbstractEstimation 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.
Indexed Bysci ; ei
Language英语
Document Type期刊论文
Identifierhttp://ir.ciomp.ac.cn/handle/181722/59383
Collection中科院长春光机所知识产出
Recommended Citation
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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