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Approximating probabilities of first passage in a particular gaussian process

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Publication:3808955
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DOI10.1080/03610928608829215zbMath0659.60063OpenAlexW2055829878MaRDI QIDQ3808955

Joseph Glaz, Joseph I. Naus

Publication date: 1986

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610928608829215


zbMATH Keywords

Gaussian processapproximationexpected waiting timetwo-parameter Gaussian fieldwaiting times of first passage


Mathematics Subject Classification ID

Random fields (60G60) Gaussian processes (60G15) Signal detection and filtering (aspects of stochastic processes) (60G35)



Uses Software

  • IMSL Numerical Libraries


Cites Work

  • The supremum of a particular Gaussian field
  • The asymptotic distribution of the scan statistic under uniformity
  • On the increments of Wiener and related processes
  • Gaussian processes, moving averages and quick detection problems
  • On the Distributions of Scan Statistics
  • Approximations for Distributions of Scan Statistics
  • On the threshold effect in radar range estimation (Corresp.)
  • First Passage Time for a Particular Gaussian Process


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