We consider the asymptotic behavior of the maximum for assignment process with heavy tailed independent and identically distributed entries. We prove a limit theorem on convergence to the unilateral stable law for the case when the expectation of entries is infinite while for the case of finite expectation of entries we provide upper and lower bounds of the same order for maximum’s expectation.
Translated title of the contributionО проблеме назначений для величин с тяжёлыми хвостами распределения.
Original languageEnglish
Number of pages15
JournalSankhya: The Indian Journal of Statistics
DOIs
StateE-pub ahead of print - 13 Jun 2025

    Research areas

  • Expectation estimates, Heavy tails, Limit theorem, Random assignment

    Scopus subject areas

  • Mathematics(all)

ID: 142794440