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Non-linear affine processes with jumps

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摘要 We present a probabilistic construction of R^(d)-valued non-linear affine processes with jumps.Given a setΘof affine parameters,we define a family of sublinear expectations on the Skorokhod space under which the canonical process X is a(sublinear)Markov process with a non-linear generator.This yields a tractable model for Knightian uncertainty for which the sublinear expectation of a Markovian functional can be calculated via a partial integro-differential equation.
出处 《Probability, Uncertainty and Quantitative Risk》 2023年第2期235-266,共32页 概率、不确定性与定量风险(英文)
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