Comments to the article "Parametric fitting of data obtained from detectors with finite resolution and limited acceptance" [arXiv:1011.0662] by Gagunashvili

TL;DR

This paper critiques Gagunashvili's method for data fitting from detectors, highlighting its flaws, providing a correct alternative, and comparing results to established approaches, thereby clarifying misconceptions and improving data analysis accuracy.

Contribution

The authors identify flaws in Gagunashvili's method, propose a correct solution, and compare it with existing textbook approaches to improve data fitting techniques.

Findings

Gagunashvili's method is based on incorrect assumptions.

The proposed method correctly accounts for data uncertainties.

Comparison shows the new approach aligns better with theoretical expectations.

Abstract

The publication by Gagunashvili [arXiv:1011.0662] suffers from several caveats: i) The method is based upon the false assumption that the median of chi square distributed random variables is chi square distributed. ii) The information contained in the data is not fully used, iii) It is not clear how the uncertainties associated to the fitted parameters can be evaluated. A correct solution of the problem is presented and results of the cited paper are compared to results obtained using the approach described in the textbook by Bohm and Zech. Finally, we correct false statements in the cited paper about a section in our book.