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Weak convergence implies convergence in mean within GGC

Mathematical Finance 2024-07-23 v1

Abstract

We prove that weak convergence within generalized gamma convolution (GGC) distributions implies convergence in the mean value. We use this fact to show the robustness of the expected utility maximizing optimal portfolio under exponential utility function when return vectors are modelled by hyperbolic distributions.

Cite

@article{arxiv.2407.15105,
  title  = {Weak convergence implies convergence in mean within GGC},
  author = {Hasanjan Sayit},
  journal= {arXiv preprint arXiv:2407.15105},
  year   = {2024}
}

Comments

21 pages

R2 v1 2026-06-28T17:48:40.143Z