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The Variance-Gamma Product Distribution. [PDF]
Results MathAbstract We derive the exact probability density function of the product of N independent variance-gamma random variables with zero location parameter. We then apply this formula to derive formulas for the cumulative distribution function and characteristic function, as well
Gaunt RE, Li S, Sutcliffe HL.
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The Variance Gamma++ process and applications to energy markets [PDF]
Applied Stochastic Models in Business and Industry, 2022 AbstractThe purpose of this article is to introduce a new Lévy process, termed the Variance Gamma++ process, to model the dynamics of assets in illiquid markets. Such a process has the mathematical tractability of the Variance Gamma process and is obtained by applying the self‐decomposability of the gamma law.
Matteo Gardini +2 more
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An Expanded Local Variance Gamma Model [PDF]
Computational Economics, 2020 38 pages, 8 figures, 5 ...
P. Carr, A. Itkin
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Geometric Local Variance Gamma Model [PDF]
The Journal of Derivatives, 2019 This paper describes another extension of the Local Variance Gamma model originally proposed by P. Carr in 2008, and then further elaborated on by Carr and Nadtochiy, 2017 (CN2017), and Carr and Itkin, 2018 (CI2018). As compared with the latest version of the model developed in CI2018 and called the ELVG (the Expanded Local Variance Gamma model), here ...
Carr, Peter, Itkin, Andrey
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The Variance Gamma Distribution [PDF]
Significance, 2019 Abstract Scott Nestler and Andrew Hall provide an overview of a little-known but highly flexible distribution, which can be useful for modelling share price ...
Scott Nestler, Andrew Hall
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Optimal Variance–Gamma approximation on the second Wiener chaos [PDF]
Journal of Functional Analysis, 2022 In this paper, we consider a target random variable $Y \sim \CVG$ distributed according to a centered Variance--Gamma distribution. For a generic random element $F=I_2(f)$ in the second Wiener chaos with $\E[F^2]= \E[Y^2]$ we establish a non-asymptotic optimal bound on the distance between $F$ and $Y$ in terms of the maximum of difference of the first ...
Azmoodeh, Ehsan +2 more
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Confidence interval estimation of the common mean of several gamma populations
PLoS ONE, 2022 Gamma distributions are widely used in applied fields due to its flexibility of accommodating right-skewed data. Although inference methods for a single gamma mean have been well studied, research on the common mean of several gamma populations are ...
Li Yan
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Higher-order asymptotic corrections and their application to the Gamma Variance Model
European Physical Journal C: Particles and Fields, 2023 We present improved methods for calculating confidence intervals and p values in situations where standard asymptotic approaches fail due to small sample sizes.
Enzo Canonero +2 more
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On the Moments of the Variance-Gamma Distribution
Statistics & Probability Letters, 2023 6 ...
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APPLICATION OF THE JSIR2S CODE PACKAGE FOR SHUTDOWN DOSE RATE CALCULATIONS ON JET [PDF]
EPJ Web of Conferences, 2021 In this paper we present a computational exercise for shut-down dose rate calculations for the JET tokamak using the in-house developed JSIR2S code package as part of its validation.
Ambrožič Klemen +3 more
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