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Original Articles

Tail Approximations for Maxima of Random Fields by Likelihood Ratio Transformations

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Pages 245-262 | Received 04 Apr 2009, Accepted 05 Jul 2009, Published online: 24 Sep 2010

REFERENCES

  • Durrett , R. ( 2005 ). Probability: Theory and Examples, third edition , Belmont : Brooks/Cole–Thomson Learning .
  • Nardi , Y. , Siegmund , D. , and Yakir , B. ( 2008 ). The Distribution of Maxima of Approximately Gaussian Random Fields , Annals of Statistics 36 : 1375 – 1403 .
  • Siegmund , D. ( 1985 ). Sequential Analysis: Tests and Confidence Intervals , New York : Springer .
  • Siegmund , D. and Yakir , B. ( 2000a ). Tail Probabilities for the Null Distribution of Scanning Statistics , Bernoulli 6 : 191 – 213 .
  • Siegmund , D. and Yakir , B. ( 2000b ). Approximate p-Values for Local Sequence Alignments , Annals of Statistics 28 : 657 – 680 . (Correction (2003) 31: 1027–1031.)
  • Siegmund , D. and Yakir , B. ( 2007 ). The Statistics of Gene Mapping , New York : Springer .
  • Siegmund , D. and Yakir , B. ( 2008a ). Minimax Optimality of the Shiryaev-Roberts Change-Point Detection Rule , Journal of Statistical Planning and Inference 138 : 2815 – 2825 .
  • Siegmund , D. and Yakir , B. ( 2008b ). Detecting the Emergence of a Signal in a Noisy Image , Statistics and Its Interfaces 1 : 3 – 12 .
  • Yakir , B. ( 1995 ). A Note on the Run Length to False Alarm of a Change-Point Detection Policy , Annals of Statistics 23 : 272 – 281 .
  • Yakir , B. ( 2009 ). Multi-Channel Change-Point Detection Statistic with Applications in DNA Copy-Number Variation and Sequential Monitoring, Proceedings of Second International Workshop in Sequential Methodologies, CD Rom, June 15–17, Troyes, France.
  • Yakir , B. and Pollak , M. ( 1998 ). A New Representation for a Renewal-Theoretic Constant Appearing in Asymptotic Approximations of Large Deviations , Annals of Applied Probability 8 : 749 – 774 .
  • Zhang , N. , Ji , H. , Li , J. Z. , and Siegmund , D. ( 2008 ). Detecting Simultaneous Change-Points in Multiple Sequences, unpublished.
  • Recommended by A. G. Tartakovsky

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