75
Views
8
CrossRef citations to date
0
Altmetric
Theory and Methods

A Spatial Scan Statistic for Stochastic Scan Partitions

, &
Pages 1476-1484 | Received 01 Jul 1996, Published online: 17 Feb 2012

References

  • Adler , R. J. 1984 . “The Supremum of a Particular Gaussian Field,” . Annals of Probability , 12 : 436 – 444 .
  • Alm , S. E. 1997 . “On the Distributions of Scan Statistics of a Two-Dimensional Poisson Process,” . Advances in Applied Probability , 29 : 1 – 18 .
  • Bowyer , K. W. and Astley , S. State of the Art in Digital Mammographic Image Analysis: Proceedings of the 1st International Workshop on Digital Mammography, San Jose, February, 1993 . Singapore : World Scientific .
  • Castleman , K. R. 1996 . Digital Image Processing , Englewood Cliffs , NJ : Prentice-Hall .
  • Chen , J. and Glaz , J. 1996 . “Two-Dimensional Discrete Scan Statistics,” . Statistics and Probability Letters , 31 : 59 – 68 .
  • Cressie , N. 1977 . “On Some Properties of the Scan Statistic on the Circle and the Line,” . Journal of Applied Probability , 14 : 272 – 283 .
  • Cressie , N. 1980 . “The Asymptotic Distribution of the Scan Statistic under Uniformity,” . Annals of Probability , 8 : 828 – 840 .
  • Cressie , N. 1993 . Statistics for Spatial Data , New York : Wiley .
  • David , H. A. 1970 . Order Statistics , New York : Wiley .
  • Diggle , P. J. 1983 . Statistical Analysis of Spatial Point Patterns , New York : Academic Press .
  • Doi , K. , Giger , M. L. , Nishikawa , R. M. and Schmidt , R. A. Digital Mammography ‘96: Proceedings of the 3rd International Workshop on Digital Mammography, Chicago, June 1996 . Amsterdam : Elsevier .
  • Fisher , R. A. , Thornton , H. G. and Mackenzie , W. A. 1922 . “The Accuracy of the Plating Method of Estimating the Density of Bacterial Populations, With Particular Reference to the Use of Thornton's Agar Medium With Soil Samples,” . Annals of Applied Biology , 9 : 325 – 359 .
  • Gail , A. G. , Astley , S. M. , Dance , A. R. and Cairns , A. Y. Digital Mammography: Proceedings of the 2nd International Workshop on Digital Mammography, York, England, July 1994 . Amsterdam : Elsevier .
  • Jacquez , G. M. 1993 . “Proceedings of the Workshop on Statistics and Computing in Disease Clustering, Port Washington, New York, 1992,” . Statistics in Medicine , 12 : 1751 – 1968 .
  • Jain , A. K. 1989 . Fundamentals of Digital Image Processing , Englewood Cliffs , NJ : Prentice-Hall .
  • Kulldorff , M. 1997 . “A Spatial Scan Statistic,” . Communications in Statistics Part A—Theory and Methods , 26 : 1481 – 1496 .
  • Loader , C. R. 1991 . “Large-Deviation Approximations to the Distribution of Scan Statistics,” . Advances in Applied Probability , 23 : 751 – 771 .
  • Muise , R. R. and Smith , C. M. 1992 . “Nonparametric Minefield Detection and Localization,” , Naval Surface Warfare Center, Coastal Systems Station . Report CSS-TM-591–91
  • Naus , J. I. 1965 . “Clustering of Random Points in Two Dimensions,” . Biometrika , 52 : 263 – 267 .
  • Naus , J. I. 1966 . “A Power Comparison of Two Tests of Non-Random Clustering,” . Technometrics , 8 : 493 – 517 .
  • Pyke , R. 1965 . “Spacings,” . Journal of the Royal Statistical Society , 27 : 395 – 436 . Ser. B
  • Serra , J. 1982 . Image Analysis and Mathematical Morphology , London : Academic Press .
  • Smith , C. M. 1991 . “Two-Dimensional Minefield Simulation,” , Naval Coastal Systems Center . Report NCSC-TM-558–91
  • Vincent , L. and Soille , P. 1991 . “Watersheds in Digital Spaces: An Efficient Algorithm Based on Immersion Simulations,” . IEEE Transactions on Pattern Analysis and Machine Intelligence , 13 : 583 – 598 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.