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    Article

    Research on the effectiveness of the volatility–tail risk-managed portfolios in China’s market

    This paper attempts to extend the approach of quantitative investment and provide investors with suggestions about volatility timing. Based on the volatility-managed portfolios strategy, we propose two volatil...

    Zirui Guo, Yihan Li, Guangyan Jia in Empirical Economics (2024)

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    Article

    A Note on g-Concave Function

    An equivalent condition is derived for g-concave function defined by (static) g-expectation. Several extensions including quadratic generators and (g, h)-concavity are also considered.

    Guangyan Jia, Yuhong Xu in Acta Mathematica Scientia (2019)

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    Chapter and Conference Paper

    Comparative Risk Aversion for g-Expected Utility Maximizers

    An index is introduced to measure the risk aversion of a g-expected utility maximizer.

    Guangyan Jia, Jianming **a in Nonlinear Mathematics for Uncertainty and its Applications (2011)

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    Article

    On Jensen’s inequality and Hölder’s inequality for g-expectation

    In this paper, we shall prove that for n > 1, the n-dimensional Jensen inequality holds for the g-expectation if and only if g is independent of y and linear with respect to z, in other words, the corresponding g

    Guangyan Jia in Archiv der Mathematik (2010)

  5. Article

    Jensen’s inequality for g-convex function under g-expectation

    A real valued function h defined on \({\mathbb{R}}\) is called g-convex if it satisfies the “generalized Jensen’s inequality” f...

    Guangyan Jia, Shige Peng in Probability Theory and Related Fields (2010)

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    Article

    The minimal sublinear expectations and their related properties

    In this paper, we prove that for a sublinear expectation ɛ[·] defined on L 2(Ω, \( \mathcal{F} \) ...

    GuangYan Jia in Science in China Series A: Mathematics (2009)