On normal variance–mean mixtures
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DOI: 10.1016/j.spl.2016.07.024
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- Ying Chen & Wolfgang Härdle & Seok-Oh Jeong, 2004. "Nonparametric Risk Management with Generalized Hyperbolic Distributions," SFB 649 Discussion Papers SFB649DP2005-001, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
- Bertin, Emile & Theodorescu, Radu, 1995. "Preserving unimodality by mixing," Statistics & Probability Letters, Elsevier, vol. 25(3), pages 281-288, November.
- Sato, Ken-iti, 2001. "Subordination and self-decomposability," Statistics & Probability Letters, Elsevier, vol. 54(3), pages 317-324, October.
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Cited by:
- 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.
- Mattei, Pierre-Alexandre, 2017. "Multiplying a Gaussian matrix by a Gaussian vector," Statistics & Probability Letters, Elsevier, vol. 128(C), pages 67-70.
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Keywords
Generalized inverse Gaussian distribution; Log-convexity; Modified Bessel function; Normal mixture; Poisson mixture; Total positivity;All these keywords.
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