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A martingale approach to scan statistics

Author

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

Abstract

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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
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    References listed on IDEAS

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    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.
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    Citations

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    Cited by:

    1. Glaz, Joseph & Zhang, Zhenkui, 2006. "Maximum scan score-type statistics," Statistics & Probability Letters, Elsevier, vol. 76(13), pages 1316-1322, July.
    2. 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.
    3. 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.
    4. 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.
    5. Zajkowski, Krzysztof, 2014. "A note on the gambling team method," Statistics & Probability Letters, Elsevier, vol. 85(C), pages 45-50.

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