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Activity Number: 691
Type: Contributed
Date/Time: Thursday, August 8, 2013 : 10:30 AM to 12:20 PM
Sponsor: IMS
Abstract - #310001
Title: Memory Depth Identification for Real-Valued Processes
Author(s): Zsolt Talata*+ and Roberto Oliveira
Companies: University of Kansas and IMPA
Keywords: ergodic processes ; Markov chains ; Markov order ; order estimation ; strong consistency ; computational complexity
Abstract:

Stationary ergodic processes with values from a finite interval are considered. A certain mixing condition is assumed, which is satisfied by, for example, the autoregressive processes. The memory depth of the process is estimated from a sample, an n-length realization of the process. An estimator of the memory depth is presented; its strong consistency is proved and the computational complexity of an algorithm to compute the estimator is determined.


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