论文标题
具有循环响应的参数回归模型的合适性测试
Goodness-of-fit tests for parametric regression models with circular response
论文作者
论文摘要
在这项工作中提出并分析了用于评估具有循环响应和$ \ Mathbb {r}^d $值协变量的参数回归模型的测试程序，用于独立和空间相关的数据。该测试统计量基于比较（非平滑或平滑）参数循环估计器和非参数的圆形距离。还提供了适当设计的自举程序，用于校准实践中的测试。通过模拟分析了具有独立和空间相关样品的不同情况下测试的有限样本性能。
Testing procedures for assessing a parametric regression model with circular response and $\mathbb{R}^d$-valued covariate are proposed and analyzed in this work both for independent and for spatially correlated data. The test statistics are based on a circular distance comparing a (non-smoothed or smoothed) parametric circular estimator and a nonparametric one. Properly designed bootstrap procedures for calibrating the tests in practice are also presented. Finite sample performance of the tests in different scenarios with independent and spatially correlated samples, is analyzed by simulations.
