论文标题
描述性统计的费率失真理论
Rate Distortion Theory for Descriptive Statistics
论文作者
论文摘要
开发了速率失真理论以优化数据的损耗压缩，但在统计中也有很多应用。在本文中，我们将看到速率失真理论如何用于分析涉及早期伊斯兰清真寺方向的复杂数据集。该分析涉及测试，异常值的识别，压缩率的选择，最佳重建点的计算以及将“描述性置信区域”分配给重建点。在本文中，重点将放在方法上，因此数据集的完整性和结果的解释将不会讨论。
Rate distortion theory was developed for optimizing lossy compression of data, but it also has a lot of applications in statistics. In this paper we will see how rate distortion theory can be used to analyze a complicated data set involving orientations of early Islamic mosques. The analysis involves testing, identification of outliers, choice of compression rate, calculation of optimal reconstruction points, and assigning "descriptive confidence regions" to the reconstruction points. In this paper the focus will be on the methods, so the integrity of the data set and the interpretation of the results will not be discussed.
