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University of Illinois at Urbana-Champaign
Limit Theorems for Weakly Dependent Random Vectors
Abstract
dc:descriptionIn Chapter I we improve upon results on the almost sure approximation of the empirical process of weakly dependent random vectors, recently obtained by Berkes and Philipp and Philipp and Pinzur. For strongly mixing sequences we relax the bounds on the mixing rates, and for absolutely regular sequences we improve the error term. We also extend these results to random vectors which are functions of the given sequence as well as to random variables which are evaluated at lacunary sequences.
Degree
thesis:*- Name thesis:degree_name
- Ph.D.
- Level thesis:degree_level
- Dissertation
- Discipline thesis:degree_discipline
- Mathematics
- Grantor
- University of Illinois at Urbana-Champaign
- Year dc:date
- 2014
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Dhompongsa, Sompong
Subjects
dc:subject × 1Identifiers
dc:identifier.*- Identifier
- (UMI)AAI8209564
- OAI identifier oai:identifier
- oai:www.ideals.illinois.edu:2142/71201