Об асимптотике распределения времени пребывания на полуоси для случайного блуждания с тяжелыми хвостами

We study asymptotic behavior of the distribution of the sojourn time of a random walk over growing level. We assume here regular variation of the right tail distribution of summands and existence of the second moment. Some two-sided asymptotic bounds for the sojourn time distribution are established.