Small time chaos approximations for heat kernels of multidimensional diffusions

Author:

Ivanenko D.,Kohatsu-Higa A.ORCID,Kulik A.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics,Computer Networks and Communications,Software

Reference16 articles.

1. Ait-Sahahia, Y.: Closed-form likelihood expansions for multivariate diffusions. Ann. Stat. 36, 906–937 (2008)

2. Azencott, R.: Densité des diffusions en temps petit: développements asymptotiques. I, Seminar on probability, XVIII, Lecture Notes in Math.1059, Springer, Berlin, 402–498, (1984)

3. Bally, V., Rey, C.: Approximation of Markov semigroups in total variation distance. Electron. J. Probab. 21(12), 1–44 (2016)

4. Barndorff-Nielsen, O.E., Cox, D.R.: Asymptotic Techniques for Use in Statistics, Chapman and Hall, (1989)

5. Bodnarchuk, S., Ivanenko, D., Kohatsu-Higa, A., Kulik, A.: Improved local approximation for multidimensional diffusions: the G-rates. Teoriya Ĭmovirnosteĭ ta Matematychna Statystyka 101(2), 15–39 (2019)

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