THE DISTRIBUTION OF THE ESTIMATES OF SPECTRAL LINE PARAMETERS OBTAINED BY NONLINEAR REGRESSION ANALYSIS OF ABSORPTION SPECTRA

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1980

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Ohio State University

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Several groups1,2,3,4 have shown that line parameter estimates can be obtained from digitized absorption spectra by non-linear regression analysis. We are concerned with the distribution of parameter estimates and estimates of standard deviation obtained by this method of analysis. The most general technique of studying these estimates-is by simulation.5,6 Five parameters which are used to describe the appearance of a single Lorenzian line, the background, instrument function width, line position, intensity and half width, have been studied in this way. The distributions of estimates are described and contrasted with some results of Niple and Shaw.7

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1Y. S. Chang and J. H. Shaw, Appl. Spec. 31, 213 (1977). 2P. G. Eitner, F. G. Smith, and D. R. Woods, Spie, 148, 112 (1978). 3R. J. Noll and A. Pires, Symposium on Molecular Spectroscopy, Columbus, Ohio (1979). 4C. L. Lin, J. H. Shaw, and J. G. Calvert, JQSRT 22, 253 (1979). 5Computational Methods for Data Analysis, J. Chambers, Wiley (1977). 6Least Squares Methods in Data Analysis, R. Anderssen, M. Osborne, ed., University of Queensland Press, St. Lucia (1969). 7E. Niple and J. Shaw, Appl. Spec. 33, 569 (1979).


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http://hdl.handle.net/1811/11327

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Abstracts of OSU International Symposium on Molecular Spectroscopy 1980-1989