Timo Teräsvirta, Dag Tjøstheim, and W. J. Granger
- Published in print:
- 2010
- Published Online:
- May 2011
- ISBN:
- 9780199587148
- eISBN:
- 9780191595387
- Item type:
- chapter
- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199587148.003.0011
- Subject:
- Economics and Finance, Econometrics
Long memory, unit root models and cointegration are important in linear modelling of nonstationary processes, not the least in econometrics. Recently, nonlinear generalizations of these concepts have ...
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Long memory, unit root models and cointegration are important in linear modelling of nonstationary processes, not the least in econometrics. Recently, nonlinear generalizations of these concepts have been attempted. The framework is mathematically demanding, requiring tools that can handle both nonstationarity and nonlinearity. Two such tools are local times and null recurrent Markov chains. These are reviewed in parametric and non‐parametric cases.Less
Long memory, unit root models and cointegration are important in linear modelling of nonstationary processes, not the least in econometrics. Recently, nonlinear generalizations of these concepts have been attempted. The framework is mathematically demanding, requiring tools that can handle both nonstationarity and nonlinearity. Two such tools are local times and null recurrent Markov chains. These are reviewed in parametric and non‐parametric cases.
