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Mathematical Treatment of Digitized Data Containing Instrument Response and Statistical DeviationsSlavinskas, Darius 04 1900 (has links)
<p> Two methods of approach are presented for the analysis of digitized
data containing instrument response effects. The first method corrects the
data vector by means of multiplication by the inverse response matrix. In
order to accomodate large size data fields, a special effort is made to
obtain expressions for the inverse. matrix elements in closed form. Reduction
of statistical uncertainties is accomplished by application of non-negativity
conditions. The second approach is based on the method of
least squares. Applications to two-dimensional coincidence spectra and
nonlinear model functions are discussed in some detail. Although the main
emphasis is placed on analysis of nuclear spectra, the techniques presented
need· not be limited to this application alone. </p> / Thesis / Doctor of Philosophy (PhD)
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