【报告摘要】Conformal prediction is a distribution-free method for uncertainty quantification that ensures finite sample guarantee. However, its validity relies on the assumption of data exchangeability. In this talk, I will introduce several conformal prediction approaches tailored for non-exchangeable data settings, including clustered data with missing responses, nonignorable missing data, and label shift data. To provide an asymptotic conditional coverage guarantee for a given subject, we propose constructing prediction regions by establishing the highest posterior density region of the target. This method is more accurate under complex error distributions, such as asymmetric and multimodal distributions, making it beneficial for personalized and heterogeneous scenarios. I will present some numerical results to illustrate their effectiveness.