IDEAS home Printed from https://ideas.repec.org/a/spr/aistmt/v57y2005i1p21-37.html
   My bibliography  Save this article

A martingale approach to scan statistics

Author

Listed:
  • Vladimir Pozdnyakov
  • Joseph Glaz
  • Martin Kulldorff
  • J. Steele

Abstract

No abstract is available for this item.

Suggested Citation

  • Vladimir Pozdnyakov & Joseph Glaz & Martin Kulldorff & J. Steele, 2005. "A martingale approach to scan statistics," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 57(1), pages 21-37, March.
    • Handle: RePEc:spr:aistmt:v:57:y:2005:i:1:p:21-37
    DOI: 10.1007/BF02506876
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/BF02506876
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/BF02506876?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Masayuki Uchida, 1998. "On Generating Functions of Waiting Time Problems for Sequence Patterns of Discrete Random Variables," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 50(4), pages 655-671, December.
    2. S. Robin & J.-J. Daudin, 2001. "Exact Distribution of the Distances between Any Occurrences of a Set of Words," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 53(4), pages 895-905, December.
    3. Margai, Florence & Henry, Norah, 2003. "A community-based assessment of learning disabilities using environmental and contextual risk factors," Social Science & Medicine, Elsevier, vol. 56(5), pages 1073-1085, March.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Pozdnyakov, Vladimir, 2008. "On occurrence of patterns in Markov chains: Method of gambling teams," Statistics & Probability Letters, Elsevier, vol. 78(16), pages 2762-2767, November.
    2. Markos V. Koutras & Demetrios P. Lyberopoulos, 2018. "Asymptotic results for jump probabilities associated to the multiple scan statistic," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 70(5), pages 951-968, October.
    3. Zajkowski, Krzysztof, 2014. "A note on the gambling team method," Statistics & Probability Letters, Elsevier, vol. 85(C), pages 45-50.
    4. Glaz, Joseph & Zhang, Zhenkui, 2006. "Maximum scan score-type statistics," Statistics & Probability Letters, Elsevier, vol. 76(13), pages 1316-1322, July.
    5. Anthony Cheng & Disheng Mao & Yuping Zhang & Joseph Glaz & Zhengqing Ouyang, 2023. "Translocation detection from Hi‐C data via scan statistics," Biometrics, The International Biometric Society, vol. 79(2), pages 1306-1317, June.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Ana Helena Tavares & Jakob Raymaekers & Peter J. Rousseeuw & Paula Brito & Vera Afreixo, 2020. "Clustering genomic words in human DNA using peaks and trends of distributions," Advances in Data Analysis and Classification, Springer;German Classification Society - Gesellschaft für Klassifikation (GfKl);Japanese Classification Society (JCS);Classification and Data Analysis Group of the Italian Statistical Society (CLADAG);International Federation of Classification Societies (IFCS), vol. 14(1), pages 57-76, March.
    2. Messer, Lynne C. & Vinikoor, Lisa C. & Laraia, Barbara A. & Kaufman, Jay S. & Eyster, Janet & Holzman, Claudia & Culhane, Jennifer & Elo, Irma & Burke, Jessica G. & O'Campo, Patricia, 2008. "Socioeconomic domains and associations with preterm birth," Social Science & Medicine, Elsevier, vol. 67(8), pages 1247-1257, October.
    3. Vladimir Pozdnyakov, 2008. "On occurrence of subpattern and method of gambling teams," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 60(1), pages 193-203, March.
    4. Heyes, Anthony & Saberian, Soodeh, 2024. "Pollution and learning: Causal evidence from Obama’s Iran sanctions," Journal of Environmental Economics and Management, Elsevier, vol. 125(C).
    5. Lian Chen & Xiujun Zhang, 2019. "Fault Tolerance and 2-Domination in Certain Interconnection Networks," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 11(2), pages 181-189, April.
    6. Kiyoshi Inoue & Sigeo Aki, 2009. "On waiting time distributions associated with compound patterns in a sequence of multi-state trials," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 61(2), pages 499-516, June.
    7. Liping He & Wei Hu & Xiaofeng Wang & Yu Liu & Yan Jiang & Yanbin Meng & Qipeng Xiao & Xinxin Guo & Yanfeng Zhou & Yongyi Bi & Yuanan Lu, 2020. "Analysis of Heavy Metal Contamination of Agricultural Soils and Related Effect on Population Health—A Case Study for East River Basin in China," IJERPH, MDPI, vol. 17(6), pages 1-14, March.
    8. Kiyoshi Inoue & Sigeo Aki, 2014. "On sooner and later waiting time distributions associated with simple patterns in a sequence of bivariate trials," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 77(7), pages 895-920, October.
    9. Yonil Park & John L. Spouge, 2004. "Searching for Multiple Words in a Markov Sequence," INFORMS Journal on Computing, INFORMS, vol. 16(4), pages 341-347, November.
    10. V. I. Ilyevsky, 2019. "Recursive Formula for the Random String Word Detection Probability, Overlaps and Probability Extremes," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 11(2), pages 171-180, April.
    11. Alexandru Amarioarei & Cristian Preda, 2020. "One Dimensional Discrete Scan Statistics for Dependent Models and Some Related Problems," Mathematics, MDPI, vol. 8(4), pages 1-11, April.
    12. Han, Qing & Hirano, Katuomi, 2003. "Waiting time problem for an almost perfect match," Statistics & Probability Letters, Elsevier, vol. 65(1), pages 39-49, October.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:aistmt:v:57:y:2005:i:1:p:21-37. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.