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NONLINEAR TRANSFORMATIONS OF INTEGRATED TIME SERIES

Clive Granger and Jeff Hallman

Journal of Time Series Analysis, 1991, vol. 12, issue 3, 207-224

Abstract: Abstract. In this paper we consider the effects of nonlinear transformations on integrated processes and unit root tests performed on such series. A test that is invariant to monotone data transformations is proposed. It is shown that series are generally not cointegrated with nonlinear transformations of themselves, but the same transformation applied to a pair of cointegrated series can result in cointegration between the transformed series.

Date: 1991
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https://doi.org/10.1111/j.1467-9892.1991.tb00078.x

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