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References

  • Brown, Lawrence D.; Low, Mark G. Asymptotic equivalence of nonparametric regression and white noise. Ann. Statist. 24 (1996), no. 6, 2384--2398. MR1425958
  • Carter, Andrew V. Deficiency distance between multinomial and multivariate normal experiments. Dedicated to the memory of Lucien Le Cam. Ann. Statist. 30 (2002), no. 3, 708--730. MR1922539
  • Cont, Rama; Tankov, Peter. Financial modelling with jump processes. Chapman & Hall/CRC Financial Mathematics Series. Chapman & Hall/CRC, Boca Raton, FL, 2004. xvi+535 pp. ISBN: 1-5848-8413-4 MR2042661
  • Dalalyan, Arnak; Reiss, Markus. Asymptotic statistical equivalence for scalar ergodic diffusions. Probab. Theory Related Fields 134 (2006), no. 2, 248--282. MR2222384
  • Jan Gairing, Michael Högele, Tetiana Kosenkova, and Alexei Kulik. Coupling distances between lévy measures and applications to noise sensitivity of sde. 2013.
  • Genon-Catalot, Valentine; Larédo, Catherine. Asymptotic equivalence of nonparametric diffusion and Euler scheme experiments. Ann. Statist. 42 (2014), no. 3, 1145--1165. MR3224284
  • Alison L. Gibbs and Francis Edward Su. On choosing and bounding probability metrics. Int. Stat. Rev., 70(3):419--435, 2002.
  • Jacod, Jean; Shiryaev, Albert N. Limit theorems for stochastic processes. Second edition. Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], 288. Springer-Verlag, Berlin, 2003. xx+661 pp. ISBN: 3-540-43932-3 MR1943877
  • Le Cam, Lucien. Asymptotic methods in statistical decision theory. Springer Series in Statistics. Springer-Verlag, New York, 1986. xxvi+742 pp. ISBN: 0-387-96307-3 MR0856411
  • Le Cam, Lucien; Yang, Grace Lo. Asymptotics in statistics. Some basic concepts. Second edition. Springer Series in Statistics. Springer-Verlag, New York, 2000. xiv+285 pp. ISBN: 0-387-95036-2 MR1784901
  • Mémin, J.; Shiryayev, A. N. Distance de Hellinger-Kakutani des lois correspondant à deux processus à accroissements indépendants. (French) [Hellinger-Kakutani distance of the laws corresponding to two processes with independent increments] Z. Wahrsch. Verw. Gebiete 70 (1985), no. 1, 67--89. MR0795789
  • Milstein, Grigori; Nussbaum, Michael. Diffusion approximation for nonparametric autoregression. Probab. Theory Related Fields 112 (1998), no. 4, 535--543. MR1664703
  • Newman, Charles M. The inner product of path space measures corresponding to random processes with independent increments. Bull. Amer. Math. Soc. 78 1972 268--271. MR0290453
  • Nourdin, Ivan; Peccati, Giovanni. Stein's method on Wiener chaos. Probab. Theory Related Fields 145 (2009), no. 1-2, 75--118. MR2520122
  • Nussbaum, Michael. Asymptotic equivalence of density estimation and Gaussian white noise. Ann. Statist. 24 (1996), no. 6, 2399--2430. MR1425959
  • Giovanni Peccati. The Chen-Stein method for Poisson functionals. arXiv preprint arXiv:1112.5051, 2011.
  • Ross, Nathan. Fundamentals of Stein's method. Probab. Surv. 8 (2011), 210--293. MR2861132
  • Sato, Ken-iti. Lévy processes and infinitely divisible distributions. Translated from the 1990 Japanese original. Revised by the author. Cambridge Studies in Advanced Mathematics, 68. Cambridge University Press, Cambridge, 1999. xii+486 pp. ISBN: 0-521-55302-4 MR1739520
  • Ken-iti Sato. Density transformation in Lévy processes. 2000.


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