English

On statistical methods of structure function extraction

High Energy Physics - Phenomenology 2007-11-30 v1

Abstract

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 χ2\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.

Keywords

Cite

@article{arxiv.0711.4662,
  title  = {On statistical methods of structure function extraction},
  author = {S. N. Sevbitov and T. V. Shishkina and I. L. Solovtsov},
  journal= {arXiv preprint arXiv:0711.4662},
  year   = {2007}
}

Comments

7 pages

R2 v1 2026-06-21T09:48:32.278Z