Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2007-11-29
Physics
High Energy Physics
High Energy Physics - Phenomenology
7 pages
Scientific paper
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 $\chi^2$ minimization. Effectiveness of these methods usage is analyzed by comparison of the statistical parameters such as bias, extraction variance etc., for sample deep inelastic scattering data set.
Sevbitov S. N.
Shishkina T. V.
Solovtsov Igor L.
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