Statistical limit laws for equivariant observations
Melbourne, Ian and Nicol, Matthew (2003) Statistical limit laws for equivariant observations Stochastics & Dynamics, 4. pp. 1-13.
We show that statistical limit laws for ergodic stationary sequences of G-equivariant observations φ on a probability space Ω × G are inherited by sequences of observations φ(·,g0) on the probability space Ω for each fixed g0. The statistical limit laws we consider are the central limit theorem, weak invariance principle and the law of the iterated logarithm.
|Additional Information:||Melbourne, I., & Nicol, M. (2004). Statistical limit laws for equivariant observations. Stochastics & Dynamics, 4, 1-13. © 2004 World Scientific. This is a pre-press version of the paper. To access the published version, click here|
|Uncontrolled Keywords:||Statistical limit laws, equivariant observations, compact group extensions|
|Divisions:||Faculty of Engineering and Physical Sciences > Mathematics|
|Depositing User:||Mr Adam Field|
|Date Deposited:||27 May 2010 14:41|
|Last Modified:||23 Sep 2013 18:33|
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