New Techniques for Empirical Processes of Dependent Data

• Applicant: Professor Dr. Herold Dehling
• Subject Area: Mathematics
• Term: from 2009 to 2014
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 157538741

• Final Report Year: 2015

Final Report Abstract

No abstract available

Publications

• (2011): Empirical Processes of multidimensional systems with multiple mixing properties. Stochastic Processes and their Applications 121, 1076–1096
  Herold Dehling and Olivier Durieu
  
• Empirical Processes of Multiple Mixing Data. Ph.D. thesis, Université de Tours and Ruhr-University Bochum, 2013
  Marco Tusche
  
• (2014): An Empirical Process Central Limit Theorem for Multidimensional Dependent Data. Journal of Theoretical Probability 27, 249–277
  Olivier Durieu and Marco Tusche
  (See online at https://doi.org/10.1007/s10959-012-0450-3)
• (2014): Approximating Class Approach for Empirical Processes of Dependent Sequences Indexed by Functions. Bernoulli 20, 1372–1403
  Herold Dehling, Olivier Durieu and Marco Tusche
  (See online at https://doi.org/10.3150/13-BEJ525)
• 2014): A Sequential Empirical Central Limit Theorem for Multiple Mixing Processes with Application to B- Geometrically Ergodic Markov Chains. Electronic Journal of Probability 19, no. 87, 1–26
  Herold Dehling, Olivier Durieu and Marco Tusche
  (See online at https://doi.org/10.1214/EJP.v19-3216)