Parametric fitting of data obtained from detectors with finite resolution and limited acceptance

TL;DR

This paper introduces a goodness-of-fit method for parametric models fitted to detector data with finite resolution and acceptance, validated through numerical examples.

Contribution

It proposes a new fitting procedure that accounts for detector limitations by minimizing a comparison statistic between experimental and simulated data.

Findings

The method effectively fits models to detector data with finite resolution.

Numerical examples demonstrate the validity of the fitting procedure.

Abstract

A goodness-of-fit test for the fitting of a parametric model to data obtained from a detector with finite resolution and limited acceptance is proposed. The parameters of the model are found by minimization of a statistic that is used for comparing experimental data and simulated reconstructed data. Numerical examples are presented to illustrate and validate the fitting procedure.