In this chapter we look at the topics of chapters C and D — extrema and boundary crossings — for d-parameter processes instead of 1-parameter processes. A random field X(t) or X t is just a real-valued process parametrized by t = (t 1,...,t d ) in R d or some subset of R d . Since this concept may be less familiar to the reader than earlier types of random process, let us start by mentioning several contexts where random fields arise.


Random Field Gaussian Process Gaussian Random Field Brownian Bridge Gaussian Field 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer Science+Business Media New York 1989

Authors and Affiliations

  • David Aldous
    • 1
  1. 1.Department of StatisticsUniversity of California-BerkeleyBerkeleyUSA

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