Unified Empirical Likelihood Ratio Tests for Functional Concurrent Linear Models and the Phase Transition from Sparse to Dense Functional Data
函数型同期线性模型的统一经验似然比检验及稀疏到稠密数据的相变
Summary We consider the problem of testing functional constraints in a class of functional concurrent linear models where both the predictors and the response are functional data measured at discrete time points. We propose test procedures based on the empirical likelihood with bias-corrected estimating equations to conduct both pointwise and simultaneous inferences. The asymptotic distributions of the test statistics are derived under the null and local alternative…