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Symmetric Gaussian mixture distributions with GGC scales

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  • Fotopoulos, Stergios B.

Abstract

The aim of this study is to unify and extend hyperbolic distributions when scalars are generated from the GGC family. Such distributions play an important role for modeling asset prices. Explicit expressions of multivariate densities are presented in terms of either the Laplace transform or the density of the scalar. When scalars are members of the GGC family, then the representations are articulated with respect to the Thorin measure. Several examples are provided.

Suggested Citation

  • Fotopoulos, Stergios B., 2017. "Symmetric Gaussian mixture distributions with GGC scales," Journal of Multivariate Analysis, Elsevier, vol. 160(C), pages 185-194.
    • Handle: RePEc:eee:jmvana:v:160:y:2017:i:c:p:185-194
    DOI: 10.1016/j.jmva.2017.06.007
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    References listed on IDEAS

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    1. S. G. Kou, 2002. "A Jump-Diffusion Model for Option Pricing," Management Science, INFORMS, vol. 48(8), pages 1086-1101, August.
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    5. Cambanis, Stamatis & Fotopoulos, Stergios B. & He, Lijian, 2000. "On the Conditional Variance for Scale Mixtures of Normal Distributions," Journal of Multivariate Analysis, Elsevier, vol. 74(2), pages 163-192, August.
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    Cited by:

    1. Stergios B. Fotopoulos & Venkata K. Jandhyala & Alex Paparas, 2021. "Some Properties of the Multivariate Generalized Hyperbolic Laws," Sankhya A: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 83(1), pages 187-205, February.
    2. Stergios B. Fotopoulos & Alex Paparas & Venkata K. Jandhyala, 2020. "Multivariate generalized hyperbolic laws for modeling financial log‐returns: Empirical and theoretical considerations," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 36(5), pages 757-775, September.

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