Lin, XihongMukherjee, Rajarshi2014-06-062014-06-062014Mukherjee, Rajarshi. 2014. Statistical Inference for High Dimensional Problems. Doctoral dissertation, Harvard University.http://dissertations.umi.com/gsas.harvard:11516http://nrs.harvard.edu/urn-3:HUL.InstRepos:12274550In this dissertation, we study minimax hypothesis testing in high-dimensional regression against sparse alternatives and minimax estimation of average treatment effect in an semiparametric regression with possibly large number of covariates.en-USBiostatisticsMinimax EstimationMinimax Hypothesis TestingThesis or Dissertation2014-06-06