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Lagrange Multiplier Tests for Normality against Seminonparametric Alternatives

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  • Hall, Alastair

Abstract

In this article, I derive the Lagrange multiplier test of the null hypothesis that a stationary random vector has a (possibly heteroscedastic) normal distribution against the alternative that the distribution is a member of the family with seminonparametric probability density functions considered by Gallant and Tauchen (1989). The test is shown to contain special case of the moment tests proposed by Newey (1985) and Tauchen (1985). Evidence from a small simulation study is reported, showing that the test has reasonable finite-sample properties in moderately sized samples. The test is applied to the change of price in a treasury-bill data series analyzed by Tauchen and Pitts (1983) and Tauchen (1985).

Suggested Citation

  • Hall, Alastair, 1990. "Lagrange Multiplier Tests for Normality against Seminonparametric Alternatives," Journal of Business & Economic Statistics, American Statistical Association, vol. 8(4), pages 417-426, October.
    • Handle: RePEc:bes:jnlbes:v:8:y:1990:i:4:p:417-26
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    Cited by:

    1. MacKinnon, James G, 1992. "Model Specification Tests and Artificial Regressions," Journal of Economic Literature, American Economic Association, vol. 30(1), pages 102-146, March.
    2. Ivan Korolev, 2018. "A Consistent Heteroskedasticity Robust LM Type Specification Test for Semiparametric Models," Papers 1810.07620, arXiv.org, revised Nov 2019.

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