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On the maximum of random assignment process

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  • Lifshits, M.A.
  • Tadevosian, A.A.

Abstract

We describe the behavior of the maximum’s expectation for the random assignment process associated to a large square matrix with i.i.d. entries. Under mild assumptions on the underlying distribution, the answer is expressed in terms of its quantile function.

Suggested Citation

  • Lifshits, M.A. & Tadevosian, A.A., 2022. "On the maximum of random assignment process," Statistics & Probability Letters, Elsevier, vol. 187(C).
    • Handle: RePEc:eee:stapro:v:187:y:2022:i:c:s0167715222001006
    DOI: 10.1016/j.spl.2022.109530
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    References listed on IDEAS

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    1. Mordant, Gilles & Segers, Johan, 2021. "Maxima and near-maxima of a Gaussian random assignment field," LIDAM Reprints ISBA 2021008, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).
    2. Mordant, Gilles & Segers, Johan, 2021. "Maxima and near-maxima of a Gaussian random assignment field," Statistics & Probability Letters, Elsevier, vol. 173(C).
    3. Mordant, Gilles & Segers, Johan, 2021. "Maxima and near-maxima of a Gaussian random assignment field," LIDAM Discussion Papers ISBA 2021008, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).
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      Keywords

      Assignment problem; Random assignment;

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