alphaPDE:一种新的多元参数估计方法
alphaPDE: A New Multivariate Technique for Parameter Estimation
摘要:
我们提出了alphaPDE,一个新的多变量分析技术的参数估计。该方法是基于已知变量和待估计参数的联合概率密度的直接构造。我们展示了如何后验密度和最佳值估计,然后获得感兴趣的参数,通过一个简单的操作这些密度。该方法基本上是非参数的,并允许直观的图形解释。我们说明的方法,概述了它如何可以用来估计顶夸克的质量,我们解释了如何将该方法应用到一个合奏的事件包含背景。
英文摘要:
We present alphaPDE, a new multivariate analysis technique for parameter estimation. The method is based on a direct construction of joint probability densities of known variables and the parameters to be estimated. We show how posterior densities and best-value estimates are then obtained for the parameters of interest by a straightforward manipulation of these densities. The method is essentially non-parametric and allows for an intuitive graphical interpretation. We illustrate the method by outlining how it can be used to estimate the mass of the top quark, and we explain how the method is applied to an ensemble of events containing background.
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