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A simple compound scan statistic useful for modeling insurance and risk management problems

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  • Koutras, Vasileios M.
  • Koutras, Markos V.
  • Yalcin, Femin

Abstract

In the present work we study the distribution of a random sum of random variables which is related to a binary scan statistic for Markov dependent trials. The motivation of the model studied herein stems from several areas of applied science such as actuarial science, financial risk management, quality control and reliability, educational psychology, engineering, etc.

Suggested Citation

  • Koutras, Vasileios M. & Koutras, Markos V. & Yalcin, Femin, 2016. "A simple compound scan statistic useful for modeling insurance and risk management problems," Insurance: Mathematics and Economics, Elsevier, vol. 69(C), pages 202-209.
    • Handle: RePEc:eee:insuma:v:69:y:2016:i:c:p:202-209
    DOI: 10.1016/j.insmatheco.2016.05.005
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    References listed on IDEAS

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    8. Koutras, Vasileios M. & Drakos, Konstantinos, 2013. "A migration approach for USA banks' capitalization: Are the 00s the same with the 90s?," International Review of Financial Analysis, Elsevier, vol. 30(C), pages 131-140.
    9. Eisele, Karl-Theodor, 2006. "Recursions for compound phase distributions," Insurance: Mathematics and Economics, Elsevier, vol. 38(1), pages 149-156, February.
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    Cited by:

    1. Anastasios N. Arapis & Frosso S. Makri & Zaharias M. Psillakis, 2017. "Joint distribution of k-tuple statistics in zero-one sequences of Markov-dependent trials," Journal of Statistical Distributions and Applications, Springer, vol. 4(1), pages 1-13, December.
    2. Vasileios M. Koutras & Markos V. Koutras & Spiros D. Dafnis, 2022. "A Family of Induced Distributions," Methodology and Computing in Applied Probability, Springer, vol. 24(3), pages 1833-1848, September.
    3. Eryilmaz, Serkan, 2017. "On compound sums under dependence," Insurance: Mathematics and Economics, Elsevier, vol. 72(C), pages 228-234.
    4. Vasileios M. Koutras & Markos V. Koutras, 2020. "Exact Distribution of Random Order Statistics and Applications in Risk Management," Methodology and Computing in Applied Probability, Springer, vol. 22(4), pages 1539-1558, December.
    5. Hsing-Ming Chang & James C. Fu, 2022. "On Distribution and Average Run Length of a Two-Stage Control Process," Methodology and Computing in Applied Probability, Springer, vol. 24(4), pages 2723-2742, December.

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