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Testing the functions defining a nonlinear autoregressive time series

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  • Diebolt, Jean

Abstract

We first establish the consistency of regressogram type estimators of the functions T and U based on he observation of the processXn+1=T(Xn)+U(Xn)[var epsilon]n+1, then nonparametric goodness-of-fit tests for the functions T and U are introduced and discussed. These nonparametric tests constitute the main contribution of this article.

Suggested Citation

  • Diebolt, Jean, 1990. "Testing the functions defining a nonlinear autoregressive time series," Stochastic Processes and their Applications, Elsevier, vol. 36(1), pages 85-106, October.
  • Handle: RePEc:eee:spapps:v:36:y:1990:i:1:p:85-106
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