Title: An Invariance Principle for Maps with Polynomial Decay of Correlations.
Authors: Tyran-Kamińska, Marta
Abstract: We give a general method of deriving statistical limit theorems, such as the central limit theorem and its functional version, in the setting of ergodic measure preserving transformations. This method is applicable in situations where the iterates of discrete time maps display a polynomial decay of correlations.
Subjects: STATISTICAL correlation; LEAST squares; MATHEMATICAL statistics; PROBABILITY theory; REGRESSION analysis; STATISTICS; GRAPHIC methods in statistics
Publication: Communications in Mathematical Physics, 2005, Vol 260, Issue 1, p1
ISSN: 0010-3616
Publication type: Academic Journal
DOI: 10.1007/s00220-005-1400-z

An Invariance Principle for Maps with Polynomial Decay of Correlations.

Tyran-Kamińska, Marta