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20072023
most citedFast Pricing of Energy Derivatives with Mean-reverting Jump-diffusion Processes

18 citations · 80 across the 19 of their papers we have counts for

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math.PR2022

Efficient Simulation of -Tempered -Stable OU Processes

Michael Grabchak, Piergiacomo Sabino

We develop efficient methods for simulating processes of Ornstein-Uhlenbeck type related to the class of -tempered -stable ($\ts$) distributions. Our results hold for both th…

math.PR2020

Tempered stable distributions and finite variation Ornstein-Uhlenbeck processes

Nicola Cufaro Petroni, Piergiacomo Sabino

Constructing \Levy-driven Ornstein-Uhlenbeck processes is a task closely related to the notion of self-decomposability. In particular, their transition laws are linked to the prope…

math.PR2020★ 16 cited

Gamma Related Ornstein-Uhlenbeck Processes and their Simulation

Nicola Cufaro Petroni, Piergiacomo Sabino

We investigate the distributional properties of two generalized Ornstein-Uhlenbeck (OU) processes whose stationary distributions are the gamma law and the bilateral gamma law, resp…

math.PR2015★ 1 cited

Correlated Poisson processes and self-decomposable laws

Nicola Cufaro Petroni, Piergiacomo Sabino

We analyze a method to produce pairs of non independent Poisson processes from positively correlated, self-decomposable, exponential renewals. In particular the present…

math.PR2007★ 1 cited

Implementing Quasi-Monte Carlo Simulations with Linear Transformations

Piergiacomo Sabino

Pricing exotic multi-asset path-dependent options requires extensive Monte Carlo simulations. In the recent years the interest to the Quasi-monte Carlo technique has been renewed a…

math.PR2007★ 3 cited

Monte Carlo Methods and Path-Generation techniques for Pricing Multi-asset Path-dependent Options

Piergiacomo Sabino

We consider the problem of pricing path-dependent options on a basket of underlying assets using simulations. As an example we develop our studies using Asian options. Asian option…