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Activity Number: 73
Type: Contributed
Date/Time: Sunday, August 9, 2015 : 4:00 PM to 5:50 PM
Sponsor: IMS
Abstract #316956
Title: Limit Theorems for Random Vectors and Stationary Sequences
Author(s): Armine Bagyan* and Arkady Tempelman and Bing Li
Companies: Penn State and Penn State and Penn State
Keywords: limit theory ; ergodic stationary sequences ; ergodic theory ; random vectors
Abstract:

In this work we introduce an approach to the limit theory for random vectors and ergodic stationary sequences using ideas of the ergodic theory. We also consider the applications of the theoretical results to testing hypotheses about the distributions and parameters of distributions of such sequences and present simulations to illustrate it.


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