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Convergence rates for Markov chain order estimates using EDC criterion
Authors:C. C. Y. Dorea  J. S. Lopes
Affiliation:(1) Departamento de Matemática, Universidade de Brasília, 70910-900 Brasília, DF, BRAZIL;(2) Departamento de Matemática, Universidade Federal do Rio Grande do Norte, 59072-970 Natal, RN, RAZIL
Abstract:The Efficient Determination Criterion (EDC) generalizes the AIC and BIC criteria and provides a class of consistent estimators for the order of a Markov chain with finite state space. In this note, we derive rates of convergence for the EDC estimates. *Partially supported by CNPq, CAPES/PROCAD, FAPDF/PRONEX, FINATEC and FUNPE/UnB. **Partially supported by CAPES.
Keywords:Order of Markov Chain  Efficient Determination Criterion
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