The following is an abstract for the selected article. A PDF download of the full text of this article is available here. Members may download full texts at no charge. Non-members may be charged a small fee for certain articles.
Error Reduction in Spectrum Estimation by Means of Concentration-Spectrum Correlation
Volume 44, Number 4 (May 1990) Page 695-700
Mitsuka, Yoshihiro; Uozumi, Jun; Asakura, Toshimitsu
A new technique is introduced for reducing the estimation errors accompanying component spectra estimated by means of the concentration-spectrum correlation method. Many estimates of the component spectra, given to different errors, are obtained by the nonparametric statistical method called the bootstrap. Among them, there exists a spectrum that has a very small error. This spectrum can be found by searching for the spectrum that has the least entropy, since a parameter of the entropy is correlated positively with the estimation error. Computer-simulation experiments are performed to demonstrate the effectiveness of the present technique for cases involving both unconstrained concentrations and constrained concentrations whose sum for all the components in a sample is unity.