Characteristic-function-based tests for spatial randomness
基于特征函数的空间随机性检验
Summary We introduce a new type of test for complete spatial randomness that applies to mapped point patterns in a rectangle or a cube of any dimension. This is the first test of its kind to be based on characteristic functions and utilizes a weighted $ L_{2} $ distance between the empirical and uniform characteristic functions. The test shows surprising connections with Ripley’s $ K $-function and Zimmerman’s $ \bar{\omega}^{2} $ statistic. It is also simple to calculate…