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Implement Chambers, Mallow and Struck for $\alpha$-stable processes #43

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venkatachalapathy opened this issue Mar 22, 2019 · 2 comments

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@venkatachalapathy
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I am looking to run experiments to calculate first exits across a boundary using Levy-driven SDE. Does this package have a quick and dirty way to simulate $\alpha$-stable distribution based jump SDEs using Bridge.jl?

@mschauer
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Do you think of symmetric stable? Then you could use Random walk approximation
by Chambers, Mallow and Struck
https://pdfs.semanticscholar.org/6cf2/458c48b5d903d35afc21cedc285145de0abb.pdf to generate the driving process. The Euler solver then takes the driving process as argument, I used it to solve Gamma process driven SDE (Gamma process is implemented)

@venkatachalapathy
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Yes. I plan to use your Gamma process model too. Thanks for the tip. Nolan's notes on stable distributions are the one that I usually refer to but could not find anything in Julia. Thanks for the quick response.

I am new to Julia but am excited to try it out to teach some of my upcoming courses and use it in my upcoming projects.

@mschauer mschauer changed the title Is there a quick a dirty way to generate $\alpha$-stable distributions using this package? Implement Chambers, Mallow and Struck for $\alpha$-stable processes Mar 22, 2019
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