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Stochastic hyperplane-based ranks and their use in multivariate portmanteau tests

Author

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  • Hudecová, Šárka
  • Šiman, Miroslav

Abstract

The article proposes and justifies an optimal rank-based portmanteau test of multivariate elliptical strict white noise against multivariate serial dependence. It is based on new stochastic hyperplane-based ranks that are simpler and easier to compute than other usable hyperplane-based competitors and still share with them many good properties such as their distribution-free nature, affine invariance, efficiency, robustness and weak moment assumptions. The finite-sample performance of the portmanteau test is illustrated empirically in a small Monte Carlo simulation study.

Suggested Citation

  • Hudecová, Šárka & Šiman, Miroslav, 2024. "Stochastic hyperplane-based ranks and their use in multivariate portmanteau tests," Journal of Multivariate Analysis, Elsevier, vol. 204(C).
    • Handle: RePEc:eee:jmvana:v:204:y:2024:i:c:s0047259x24000514
    DOI: 10.1016/j.jmva.2024.105344
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