Objective: Exploring and discussing new fitting and extrapolation methods of survival curve to cope with the inability of standard parametric model to capture complex hazard functions，and to provide methodological references for relevant researches in pharmacoeconomic evaluation of antitumor drugs in China. Methods: The fundamental principles and application cases of cure model，mixture model，piecewise model，restricted cubic spline model and landmark model are summarized based on domestic and foreign literatures. Results: Through comparative analysis，it is found that all five new methods can capture and fit complex hazard functions by flexibly using six types of parametric distributions and employing segmentation of survival time or populations，which provides the possibility of better fitting of survival curves，but there is currently uncertainty in model selection and fitting results. Conclusion: It is necessary to conduct in-depth study of fitting and extrapolation theory based on hazard function estimation，standardize the path of model selection，and verify the rationality of model selection to continuously improve the quality of evidence in survival analysis of pharmacoeconomic evaluation in China.