##Statistics Seminar##\\ Department of Mathematics and Statistics ^ **DATE:**|Thursday, April 20, 2022 | ^ **TIME:**|1:15pm -- 2:40pm | ^ **LOCATION:**|WH 100E | ^ **SPEAKER:**|Jingze Liu, Binghamton University | ^ **TITLE:**| Statistical Inference using Generative Adversarial Networks | \\ **Abstract** In this presentation, we investigate the potential of utilizing samples generated by Generative Adversarial Networks (GANs) as a replacement for the conventional bootstrap resampling technique. Our study introduces two procedures, one for low-dimensional and the other for high-dimensional cases, and demonstrates their theoretical properties. Notably, the high-dimensional method has a convergence rate that is independent of the data dimension. We present our preliminary simulation results, which demonstrate that our GAN-based bootstrap method can produce reliable estimates of the variability and construct valid confidence intervals in the low-dimensional scenario.