The likelihood ratio test is proposed for testing the hypothesis that the changepoint is equal to some specified value. Asymptotic properties of the test statistic are derived. Examples and an application are given. For simplicity of exposition, we start with the two-sample problem where there is a single binary covariate, assigned treatment say. The more general case is described in Section 5.
Proofs appear in the Appendix.
Doc 1 Regression for censored survival data with lag effects - Statist, Luo et al.