On extreme values of some regenerative processes. (English. Ukrainian original) Zbl 1409.60136
Theory Probab. Math. Stat. 97, 57-71 (2018); translation from Teor. Jmovirn. Mat. Stat. 97, 58-71 (2017).
Summary: A general limit theorem is proved for extreme values of regenerative processes. Some applications of this result are given for birth and death processes that determine the length of the queue in a queueing system.
MSC:
| 60K25 | Queueing theory (aspects of probability theory) |
| 60F05 | Central limit and other weak theorems |
References:
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