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20082024
most citedBilateral Gamma distributions and processes in financial mathematics

193 citations · 630 across the 38 of their papers we have counts for

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Showing 2019 · math.PRShow all

17 papers · 2 filters

math.PR2019★ 193 cited

Bilateral Gamma distributions and processes in financial mathematics

Uwe Küchler, Stefan Tappe

We present a class of Lévy processes for modelling financial market fluctuations: Bilateral Gamma processes. Our starting point is to explore the properties of bilateral Gamma dist…

math.PR2019★ 54 cited

On the shapes of bilateral Gamma densities

Uwe Küchler, Stefan Tappe

We investigate the four parameter family of bilateral Gamma distributions. The goal of this paper is to provide a thorough treatment of the shapes of their densities, which is of i…

math.PR2019★ 12 cited

Wong-Zakai approximations with convergence rate for stochastic partial differential equations

Toshiyuki Nakayama, Stefan Tappe

The goal of this paper is to prove a convergence rate for Wong-Zakai approximations of semilinear stochastic partial differential equations driven by a finite dimensional Brownian…

math.PR2019★ 10 cited

Stochastic mortality models: An infinite dimensional approach

Stefan Tappe, Stefan Weber

Demographic projections of future mortality rates involve a high level of uncertainty and require stochastic mortality models. The current paper investigates forward mortality mode…

math.PR2019★ 123 cited

Tempered stable distributions and processes

Uwe Küchler, Stefan Tappe

We investigate the class of tempered stable distributions and their associated processes. Our analysis of tempered stable distributions includes limit distributions, parameter esti…

math.PR2019★ 7 cited

Isomorphisms for spaces of predictable processes and an extension of the Itô integral

Barbara Rüdiger, Stefan Tappe

Our goal of this note is to give an easy proof that spaces of predictable processes with values in a Banach space are isomorphic to spaces of progressive resp. adapted, measurable…