Moderate deviations for neutral functional stochastic differential equations driven by Levy noises

Xiaocui MA, Fubao XI, Dezhi LIU

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PDF(357 KB)
Front. Math. China ›› 2020, Vol. 15 ›› Issue (3) : 529-554. DOI: 10.1007/s11464-020-0836-y
RESEARCH ARTICLE
RESEARCH ARTICLE

Moderate deviations for neutral functional stochastic differential equations driven by Levy noises

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Abstract

Using the weak convergence method introduced by A. Budhiraja, P. Dupuis, and A. Ganguly [Ann. Probab., 2016, 44: 1723{1775], we establish the moderate deviation principle for neutral functional stochastic differential equations driven by both Brownian motions and Poisson random measures.

Keywords

Moderate deviations / neutral functional stochastic dierential equations / Poisson random measure

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Xiaocui MA, Fubao XI, Dezhi LIU. Moderate deviations for neutral functional stochastic differential equations driven by Levy noises. Front. Math. China, 2020, 15(3): 529‒554 https://doi.org/10.1007/s11464-020-0836-y

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