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A Consistent Test of Stationary-Ergodicity

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Author Info
Domowitz, Ian
El-Gamal, Mahmoud A.

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Abstract

A formal statistical test of stationary-ergodicity is developed for known Markovian processes on d 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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Publisher Info
Article provided by Cambridge University Press in its journal Econometric Theory.

Volume (Year): 9 (1993)
Issue (Month): 04 (August)
Pages: 589-601
Download reference. The following formats are available: HTML (with abstract), plain text (with abstract), BibTeX, RIS (EndNote, RefMan, ProCite), ReDIF
Handle: RePEc:cup:etheor:v:9:y:1993:i:04:p:589-601_00

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Bierens, Herman J. & Hartog, Joop, 1988. "Non-linear regression with discrete explanatory variables, with an application to the earnings function," Journal of Econometrics, Elsevier, vol. 38(3), pages 269-299, July. [Downloadable!] (restricted)
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  2. Bierens, Herman J, 1990. "A Consistent Conditional Moment Test of Functional Form," Econometrica, Econometric Society, vol. 58(6), pages 1443-58, November. [Downloadable!] (restricted)
    Other versions:
  3. Bierens, Herman J., 1987. "Armax model specification testing, with an application to unemployment in the Netherlands," Journal of Econometrics, Elsevier, vol. 35(1), pages 161-190, May. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Albert Marcet & Guido Lorenzoni, 1998. "Parameterized Expectations Approach; Some Practical Issues," Economics Working Papers 296, Department of Economics and Business, Universitat Pompeu Fabra. [Downloadable!]
  2. Lawrence J. Christiano & Sharon G. Harrison, 1996. "Chaos, sunspots, and automatic stabilizers," Staff Report 214, Federal Reserve Bank of Minneapolis. [Downloadable!]
    Other versions:
  3. repec:att:wimass:199719 is not listed on IDEAS
  4. Deockhyun Ryu & Mahmoud A. El-Gamal, 2004. "Short Memory and the PPP-puzzle," Econometric Society 2004 Far Eastern Meetings 577, Econometric Society. [Downloadable!]
  5. repec:att:wimass:199716 is not listed on IDEAS
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