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The Distribution of the Length of the Longest Increasing Subsequence in Random Permutations of Arbitrary Multi-sets

Author

Listed:
  • Ayat Al-Meanazel

    (Al Al-bayt University)

  • Brad C. Johnson

    (University of Manitoba)

Abstract

The distribution of the length of the longest increasing subsequence in random permutations of arbitrary multi-sets is obtained using the finite Markov chain imbedding technique (FMCI). A numerical examples are provided to aid in understanding.

Suggested Citation

  • Ayat Al-Meanazel & Brad C. Johnson, 2020. "The Distribution of the Length of the Longest Increasing Subsequence in Random Permutations of Arbitrary Multi-sets," Methodology and Computing in Applied Probability, Springer, vol. 22(3), pages 1009-1021, September.
    • Handle: RePEc:spr:metcap:v:22:y:2020:i:3:d:10.1007_s11009-019-09753-1
    DOI: 10.1007/s11009-019-09753-1
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    References listed on IDEAS

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    1. Sigeo Aki & Katuomi Hirano, 1994. "Distributions of numbers of failures and successes until the first consecutivek successes," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 46(1), pages 193-202, March.
    2. James C. Fu & Yu-Fei Hsieh, 2015. "On the Distribution of the Length of the Longest Increasing Subsequence in a Random Permutation," Methodology and Computing in Applied Probability, Springer, vol. 17(2), pages 489-496, June.
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