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A Consistent Test of Stationary-Ergodicity

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  • Domowitz, Ian
  • El-Gamal, Mahmoud A.

Abstract

A formal statistical test of stationary-ergodicity is developed for known Markovian processes on null null This makes it applicable to testing models and algorithms, as well as estimated time series processes ignoring the estimation error. The analysis is conducted by examining the asymptotic properties of the Markov operator on density space generated by the transition in the state space. The test is developed under the null of stationary-ergodicity, and it is shown to be consistent against the alternative of nonstationary-ergodicity. The test can be easily performed using any of a number of standard statistical and mathematical computer packages.

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Bibliographic Info

Article provided by Cambridge University Press in its journal Econometric Theory.

Volume (Year): 9 (1993)
Issue (Month): 04 (August)
Pages: 589-601

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Handle: RePEc:cup:etheor:v:9:y:1993:i:04:p:589-601_00

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Cited by:
  1. repec:att:wimass:9716 is not listed on IDEAS
  2. Jakob Grazzini, 2012. "Analysis of the Emergent Properties: Stationarity and Ergodicity," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 15(2), pages 7.
  3. Lawrence J. Christiano & Sharon G. Harrison, 1996. "Chaos, Sunspots, and Automatic Stabilizers," NBER Working Papers 5703, National Bureau of Economic Research, Inc.
  4. repec:att:wimass:9719 is not listed on IDEAS
  5. Corradi, V. & Swanson, N. & White, H., 1996. "Testing for Stationarity-Ergodicity and for Comovements Between Nonlinear Discrete Time Markov Processes," Papers, Pennsylvania State - Department of Economics 4-96-6, Pennsylvania State - Department of Economics.
  6. Albert Marcet & Guido Lorenzoni, 1998. "Parameterized expectations approach; Some practical issues," Economics Working Papers 296, Department of Economics and Business, Universitat Pompeu Fabra.
  7. Domowitz, Ian & El-Gamal, Mahmoud A., 2001. "A consistent nonparametric test of ergodicity for time series with applications," Journal of Econometrics, Elsevier, Elsevier, vol. 102(2), pages 365-398, June.
  8. El-Gamal, Mahmoud A. & Ryu, Deockhyun, 2006. "Short-memory and the PPP hypothesis," Journal of Economic Dynamics and Control, Elsevier, Elsevier, vol. 30(3), pages 361-391, March.
  9. Deockhyun Ryu & Mahmoud A. El-Gamal, 2004. "Short Memory and the PPP-puzzle," Econometric Society 2004 Far Eastern Meetings, Econometric Society 577, Econometric Society.

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