Chapter 4. Some Statistical Applications

  1. Jean-Marc Azäis1 and
  2. Mario Wschebor2

Published Online: 21 JUL 2008

DOI: 10.1002/9780470434642.ch4

Level Sets and Extrema of Random Processes and Fields

Level Sets and Extrema of Random Processes and Fields

How to Cite

Azäis, J.-M. and Wschebor, M. (2009) Some Statistical Applications, in Level Sets and Extrema of Random Processes and Fields, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9780470434642.ch4

Author Information

  1. 1

    Université de Toulouse, Institut de Mathématiques, Laboratoire de Statistiques et Probabilités, Toulouse, France

  2. 2

    Universidad de la República, Centro de Matemática, Facultad de Ciencias, Montevideo, Uruguay

Publication History

  1. Published Online: 21 JUL 2008
  2. Published Print: 27 FEB 2009

ISBN Information

Print ISBN: 9780470409336

Online ISBN: 9780470434642

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Keywords:

  • statistical applications;
  • maximum of the absolute value;
  • mixtures of Gaussian distributions

Summary

This chapter contains sections titled:

  • Elementary Bounds for P{M > u}

  • More Detailed Computation of the First Two Moments

  • Maximum of the Absolute Value

  • Application to Quantitative Gene Detection

  • Mixtures of Gaussian Distributions

  • Exercises