The PDF file you selected should load here if your Web browser has a PDF reader plug-in installed (for example, a recent version of Adobe Acrobat Reader).

Alternatively, you can also download the PDF file directly to your computer, from where it can be opened using a PDF reader. To download the PDF, click the Download link below.

If you would like more information about how to print, save, and work with PDFs, Highwire Press provides a helpful Frequently Asked Questions about PDFs.

Download this PDF file Fullscreen Fullscreen Off

References

  • Bally, Vlad; Caramellino, Lucia. Riesz transform and integration by parts formulas for random variables. Stochastic Process. Appl. 121 (2011), no. 6, 1332--1355. MR2794979
  • Bally, Vlad; Caramellino, Lucia. Positivity and lower bounds for the density of Wiener functionals. Pot. Anal., to appear.
  • Breton, Jean-Christophe. Convergence in variation of the joint laws of multiple Wiener-Itô integrals. Statist. Probab. Lett. 76 (2006), no. 17, 1904--1913. MR2271186
  • Carbery, Anthony; Wright, James. Distributional and $L^ q$ norm inequalities for polynomials over convex bodies in $\Bbb R^ n$. Math. Res. Lett. 8 (2001), no. 3, 233--248. MR1839474
  • Davydov, Y.A.; Martynova, G.V. Limit behavior of multiple stochastic integral. Statistics and Control of Random Process (Preila, 1987), Nauka, Moscow, pp. 55-57.
  • Ehrenborg, Richard; Rota, Gian-Carlo. Apolarity and canonical forms for homogeneous polynomials. European J. Combin. 14 (1993), no. 3, 157--181. MR1215329
  • Kayal, Neeraj. The complexity of the annihilating polynomial. 24th Annual IEEE Conference on Computational Complexity, 184--193, IEEE Computer Soc., Los Alamitos, CA, 2009. MR2932466
  • Kusuoka, Shigeo. On the absolute continuity of the law of a system of multiple Wiener integral. J. Fac. Sci. Univ. Tokyo Sect. IA Math. 30 (1983), no. 1, 191--197. MR0700600
  • Malliavin, Paul; Thalmaier, Anton. Stochastic calculus of variations in mathematical finance. Springer Finance. Springer-Verlag, Berlin, 2006. xii+142 pp. ISBN: 978-3-540-43431-3; 3-540-43431-3 MR2189710
  • Nourdin, Ivan; Peccati, Giovanni. Normal approximations with Malliavin calculus. From Stein's method to universality. Cambridge Tracts in Mathematics, 192. Cambridge University Press, Cambridge, 2012. xiv+239 pp. ISBN: 978-1-107-01777-1 MR2962301
  • Nourdin, Ivan; Poly, Guillaume. Convergence in total variation on Wiener chaos. Stochastic Process. Appl. 123 (2013), no. 2, 651--674. MR3003367
  • Nourdin, Ivan; Rosiński, Jan. Asymptotic independence of multiple Wiener-Itô integrals and the resulting limit laws. Ann. Probab., to appear
  • Nualart, David. The Malliavin calculus and related topics. Second edition. Probability and its Applications (New York). Springer-Verlag, Berlin, 2006. xiv+382 pp. ISBN: 978-3-540-28328-7; 3-540-28328-5 MR2200233
  • Nualart, D.; Ortiz-Latorre, S. Central limit theorems for multiple stochastic integrals and Malliavin calculus. Stochastic Process. Appl. 118 (2008), no. 4, 614--628. MR2394845
  • Peccati, Giovanni; Tudor, Ciprian A. Gaussian limits for vector-valued multiple stochastic integrals. Séminaire de Probabilités XXXVIII, 247--262, Lecture Notes in Math., 1857, Springer, Berlin, 2005. MR2126978
  • Reiss, R.-D. Approximate distributions of order statistics. With applications to nonparametric statistics. Springer Series in Statistics. Springer-Verlag, New York, 1989. xii+355 pp. ISBN: 0-387-96851-2 MR0988164
  • Shigekawa, Ichiro. Derivatives of Wiener functionals and absolute continuity of induced measures. J. Math. Kyoto Univ. 20 (1980), no. 2, 263--289. MR0582167


Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.