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

  • Arcones, Miguel A. Limit theorems for nonlinear functionals of a stationary Gaussian sequence of vectors. Ann. Probab. 22 (1994), no. 4, 2242--2274. MR1331224
  • Azaïs, Jean-Marc; Wschebor, Mario. Level sets and extrema of random processes and fields. John Wiley & Sons, Inc., Hoboken, NJ, 2009. xii+393 pp. ISBN: 978-0-470-40933-6 MR2478201
  • Granville, Andrew; Wigman, Igor. The distribution of the zeros of random trigonometric polynomials. Amer. J. Math. 133 (2011), no. 2, 295--357. MR2797349
  • Kratz, Marie F.; León, José R. Hermite polynomial expansion for non-smooth functionals of stationary Gaussian processes: crossings and extremes. Stochastic Process. Appl. 66 (1997), no. 2, 237--252. MR1440400
  • Kratz, Marie F.; León, José R. Central limit theorems for level functionals of stationary Gaussian processes and fields. J. Theoret. Probab. 14 (2001), no. 3, 639--672. MR1860517
  • 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
  • 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


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