Bootstrap-based testing of equality of mean functions or equality of covariance operators for functional data
研究了函数型数据中检验均值函数或协方差算子是否相等的自助法，推导了检验统计量的理论大小和功效，模拟显示该方法表现良好。
We investigate the properties of a simple bootstrap method for testing the equality of mean functions or of covariance operators in functional data. Theoretical size and power results are derived for certain test statistics, whose limiting distributions depend on unknown infinite-dimensional parameters. Simulations demonstrate good size and power of the bootstrap-based functional tests.