GLD图：用于研究方向数据单峰性的基于深度的图
The GLD-plot: A depth-based plot to investigate unimodality of directional data
摘要：
提出了一种研究超球面数据单峰性的图形工具。它是基于统计数据深度函数的概念，扩展了单变量秩的概念。针对超球面数据的局部结构，提出了一种基于距离的局部深度算法。然后通过二维散点图（即GLD图）将这种概念与数据深度的全局版本进行比较。模拟和真实数据的例子说明了该建议。
英文摘要：
A graphical tool for investigating unimodality of hyperspherical data is proposed. It is based on the notion of statistical data depth function for directional data which extends the univariate concept of rank. Firstly a local version of distance-based depths for directional data based on aims at analyzing the local structure of hyperspherical data is proposed. Then such notion is compared to the global version of data depth by means of a two-dimensional scatterplot, i.e. the GLD-plot. The proposal is illustrated on simulated and real data examples.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
