Nonlinear Dynamics and Applications

2007, Vol.14, pp.160-167


On statistical methods of structure function extraction.
S. N. Sevbitov, T. V. Shishkina

Several methods of statistical analysis are proposed and analyzed in application for a specific task - extraction of the structure functions from the cross sections of deep inelastic interactions of any type. We formulate the method based on the orthogonal weight ] functions and on an optimization procedure of errors minimization as well as methods underlying common minimization. Effectiveness of these methods usage is estimated by the statistical parameters such as bias, extraction variance etc., for sample deep inelastic scattering data set.
Key words: statistical analysis, deep inelastic scattering, structure functions

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