标题： 进展报告：表面亮度波动的概率论和统计学基础 显示英文标题

标题： Progress report: probabilistic and statistical bases of surface brightness fluctuations

摘要： 表面亮度涨落（SBF）方法是一种应用于不同波段图像像素上的统计方法。 本文的贡献在于区分基于恒星群体综合观测（统计）方法和为观测SBF校准所需的理论（概率）方法。 我们发现，通常使用的SBF理论定义——“恒星群体的平均亮度加权亮度”——仅在相当强的假设下与观测方法兼容，并且与恒星群体理论的结果不兼容。 显示英文摘要

摘要： The surface brightness fluctuations (SBF) method is a statistical method applied on image pixels in different bands. This contribution aims to distinguish between the observational (statistical) method and the theoretical (probabilistic) method based on stellar population synthesis and needed for the calibration of observational SBF. We find that the commonly used SBF theoretical definition as the "mean luminosity-weighted luminosity of the stellar population" is only compatible with the observational method under quite strong hypotheses, and that it is not compatible with stellar population theory results.