Annual Progress Seminar Wednesday, 27th September 2023, 12 noon ======================================= Venue: Room 105 Host: Debraj Das Speaker: Ms. Janhvi Patel Affiliation: IIT Bombay Title: High-Dimensional Berry Essen Bounds for M-estimators Abstract: M-estimation refers to a general method of estimation methods, where the estimators are obtained by maximizing certain criterion functions. M-estimators include the maximum likelihood estimator, lease square estimator, and many other estimators that appear in robust regression. Here we are interested in high dimensional asymptotics of M-estimators. More precisely, our goal is to find the Berry-Essen bound on the difference between the law of properly centered and scaled M estimator and an appropriate Gaussian distribution.