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math.ST2022★ 1 cited
Threshold estimation for jump-diffusions under small noise asymptotics
Mitsuki Kobayashi, Yasutaka Shimizu
We consider parameter estimation of stochastic differential equations driven by a Wiener process and a compound Poisson process as small noises. The goal is to give a threshold-typ…
math.ST2022★ 2 cited
Least squares estimators based on the Adams method for stochastic differential equations with small Lévy noise
Mitsuki Kobayashi, Yasutaka Shimizu
We consider stochastic differential equations (SDEs) driven by small Lévy noise with some unknown parameters, and propose a new type of least squares estimators based on discrete s…