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• W2982336089 abstract "Using marked Dirichlet processes we characterise the law of the convex minorant of the meander for a certain class of L'evy processes, which includes subordinated stable and symmetric L'evy processes. We apply this characterisaiton to construct $varepsilon$-strong simulation ($varepsilon$SS) algorithms for the convex minorant of stable meanders, the finite dimensional distributions of stable meanders and the convex minorants of weakly stable processes. We prove that the running times of our $varepsilon$SS algorithms have finite exponential moments. We implement the algorithms in Julia 1.0 (available on GitHub) and present numerical examples supporting our convergence results." @default.
• W2982336089 created "2019-11-08" @default.
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• W2982336089 date "2020-01-01" @default.
• W2982336089 modified "2023-09-29" @default.
• W2982336089 title "$varepsilon $-strong simulation of the convex minorants of stable processes and meanders" @default.
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• W2982336089 doi "https://doi.org/10.1214/20-ejp503" @default.
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