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Nonparametric Time-Series Estimation of Joint DGP, Conditional DGP, and Vector Autoregression

Published online by Cambridge University Press:  18 October 2010

Radhey S. Singh  and
Aman Ullah
Radhey S. Singh
Affiliation:
University of Guelph
Aman Ullah
Affiliation:
University of Western Ontario, London
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Abstract

In this paper we develop nonparametric estimators of the joint time series data generating process (DGP) of (xt, yt) at different t-values, of conditional DGP, of the conditional mean of xt given the past values of x and y, and, more generally, the conditional mean of (xt, yt) given their past values (vector autoregression). We establish, among other results, the central limit theorems for these estimators under far weaker mixing conditions than those used in Robinson [23], where only the xt series is considered. Uniform consistency and rate results for the consistencies of various estimators are also obtained. The results of the paper are useful in light of the fact that often the functional form of the dynamic regression is not known and also the assumption of the Gaussian process is not true.

Type
Research Article
Information
Econometric Theory , Volume 1 , Issue 1 , April 1985 , pp. 27 - 52
Copyright
Copyright © Cambridge University Press 1985 

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