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Review of Economic Studies Vol. 65 No. 3 1998

A Nonparametric Test for I(0)

Ignacio N. Lobato1,2; Peter M. Robinson2

1 Instituto Tecnológico Autónomo de México · 2 London School of Economics and Political Science

Abstract

There is frequently interest in testing that a scalar or vector time series is I(0), possibly after first-differencing or other detrending, while the I(0) assumption is also taken for granted in autocorrelation-consistent variance estimation. We propose a test for I(0) against fractional alternatives. The test is nonparametric, and indeed makes no assumptions on spectral behaviour away from zero frequency. It seems likely to have good efficiency against fractional alternatives, relative to other nonparametric tests. The test is given large sample justification, subjected to a Monte Carlo analysis of finite sample behaviour, and applied to various empirical data series.

DOI
10.1111/1467-937x.00054
Volume
65
Issue
3
Pages
475-495
Language
en
Sources
bibtex:phds-export.bib openalex crossref

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