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Original Articles

Bayesian Quantiles of Extremes

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Pages 566-579 | Received 28 Jul 2011, Accepted 15 Mar 2012, Published online: 10 Aug 2012

References

  • Abrams , A. M. , Kleinman , K. and Kulldorff , M. 2010 . Gumbel based p-value approximations for spatial scan statistics . Int. J. Health Geogr. , 9 : 61
  • Ahsanullah , M. 1990 . Estimation of the parameters of the Gumbel distribution based on the m record values . Comput. Stat. Qu. , 6 : 231 – 239 .
  • Ahsanullah , M. 1991 . Inference and prediction of the Gumbel distribution based on record values . Pakistan. J. Stat. , 7 (3)B ) : 53 – 62 .
  • Ali Mousa , M. A. , Jaheen , Z. F. and Ahmad , A. A. 2001 . Bayesian estimation, prediction, and characterization for the Gumbel model based on records . Statistics , 36 ( 1 ) : 65 – 74 .
  • Bastien , O. and Marechel , E. 2008 . Evolution of biological sequences implies and extreme value distribution of type I for both global and local pairwise alignment scores . BMC Bioinformatics , 9 : 332
  • Fisher , R. A. and Tippett , L. H. C. 1928 . Limiting forms of the frequency distribution of the largest or smallest member of a sample . Proc. Cambridge Philosophical Society W , 24 : 180 – 290 .
  • Gumbel , E. J. 1958 . Statistics of extremes , New York : Columbia University Press .
  • Haan , L. D. and Ferreira , A. 2006 . Extreme value theory: An introduction , New York , , Springer : Springer Series in Operations Research .
  • Hugueny , S. , Clifton , D. A. and Tarassenko , L. 2010 . “ Probabilistic patient monitoring with multivariate, multimodal extreme value theory ” . In Commun. Comput. and Information Sci 199 – 211 . Invited article, from IEEE Biomedical Engineering Systems and Technologies. 127
  • Imai , K. 2002 . A detection method for streak artifacts and radiological noise in a non-uniform region in a CT image . Phys. Med. , 26 ( 3 ) : 157 – 165 .
  • Imai , K. 2007 . Analysis of streak artifacts on CT images using statistics of extremes . Br. J. Radiol. , 80 ( 959 ) : 911 – 918 .
  • Imai , K. 2009 . Statistical characteristics of streak artifacts on CT images: Relationship between streak artifacts and mA s values . Med. Phys. , 36 ( 2 ) : 492 – 499 .
  • Ivanek , R. 2008 . Extreme value theory in analysis of differential expression in microarrays where either only up- or down-regulated genes are relevant or expected . Genet. Res. (Cambr.) , 90 ( 4 ) : 347 – 361 .
  • Kimball , B. F. 1960 . On the choice plotting positions on probability paper . JASA , 55 ( 291 ) : 546 – 560 .
  • Leong , Y. P. , Sleigh , J. W. and Torrance , and J. M. 2002 . Extreme value theory applied to postoperative breathing patterns . Br. J. Anaesth. , 88 ( 1 ) : 61 – 64 .
  • Parzen , E. 1979 . Nonparametric statistical data modeling . JASA , 74 : 105 – 131 .
  • Parzen , E. 2004 . Quantile probability and statistical data modeling . Stat. Sci. , 19 : 652 – 662 .
  • Parzen , E. 2009 . Quantiles, conditional quantiles, confidence quantiles for p, logodds(p) . Commun. Stat. Theory Methods , 38 : 3048 – 3058 .
  • Sariyar , M. , Borg , A. and Pommerening , K. 2011 . Controlling false match rates in record linkage using extreme value theory . J. Biomed. Inform , 44 ( 4 ) : 648 – 654 .
  • Shorak , G. R. and Wellner , J. A. 1986 . Empirical processes with applications to statistics , New York : Wiley .

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