The tentative schedule for the Empirical Processes Working Group:
FUTURE MEETINGS: January 10: intro & overview Jon Wellner January 17: empirical processes in model selection (optimal bounds for excess risk, with applications to model selection) Adrien Saumard January 24: model selection, continued Dennis Leung Michael Karcher Takumi Saegusa January 31: (Jon away) Model selection, continued: Takumi Saegusa Adrien Saumard February 7: Basic inequalities & non-parametric ML estimation for shape constrained families Takumi Saegusa & Jon W (?) February 14: Basic inequalities & non-parametric ML estimation for shape constraints: rates of convergence Charles Doss & Jon W (?) February 21: Nonparametric rates: Charles Doss (1/2 hour) Multiplier CLTs and bootstrapping intro: Tracey Marsh February 28: Applications of EP methods to survival analysis: Tracey Marsh, Rui Zhang, Jie Hu, and Cheng Zheng March 7: Shattering dimension and uniform in P Donsker theorems Hari Narayanan and Adrien Saumard March 14: Takumi Saegusa: Vapnik-Chervonkis Type Conditions and Uniform Donsker Classes of Functions Michel Talagrand, Ann. Prob (2003). Jie Zhou: Entropy and the combinatorial dimension Mendelson and Vershynin (2003). Invent. Math. 152, 37-55.
2. Shape constrained estimation; empirical process methods. Charles Doss Takumi Saegusa Jon Wellner 3. Shattering dimension and uniform in P Donsker theorems. Hari Narayanan Jie Zhou Adrien Saumard Takumi Saegusa 4. Empirical process method in survival analysis and semiparametric models Tracey Marsh Rui Zhang (Kate) Jie Hu Cheng Zheng 5. Bootstrap methods in statistics and multiplier CLTs Takumi Saegusa Adrien Saumard (Kate) Jie Hu Alex Volfovsky