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Variance Bounds for Functions of Unimodal Random Variable

Guoqing Liu and Wenbo V. Li

Communications in Statistics - Theory and Methods, 2023, vol. 52, issue 14, 4765-4772

Abstract: For unimodal random variable S with fixed moments E Si=mi(i=1,2,…,n) and mode m, a formula on variance of any functions of S is provided along the line of Khintchine transform. Upper bounds are derived on the variance of European call options and Gap options. The techniques are based on symmetrization, domination by quadratic functions of two variables and change of measures.

Date: 2023
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DOI: 10.1080/03610926.2012.718842

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