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Specification Tests for the Variance of a Diffusion

Valentina Corradi and Halbert White

Journal of Time Series Analysis, 1999, vol. 20, issue 3, 253-270

Abstract: We propose specification tests for the variance of a diffusion that do not require complete knowledge of the functional form under the null. We first propose a test for the constancy of the variance that, under the null of constancy, has a limiting normal distribution, while under the alternative of either unconditional or conditional heteroskedasticity it diverges at an appropriate rate. We then propose a test for the null of a parametric specification against the alternative of a more general functional form. Under the null, the test has a well‐defined limiting distribution, normal in the unconditional and mixed normal in the conditional heteroskedasticity case; under the alternative, it diverges.

Date: 1999
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Citations: View citations in EconPapers (22)

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https://doi.org/10.1111/1467-9892.00136

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