Geodesic
Estimation of the large deviations parameter for a single-channel queueing system with regenerative input flow
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2019), pp. 9-14

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A single-channel queueing system with regenerative input flow is considered. It is assumed that the stability condition is fullfilled. A statistical estimate for the parameter of large deviations of waiting time is proposed. Its consistency and asymptotic normality are proved, the asymptotic confidence interval for the parameter of large deviations is constructed. 
@article{VMUMM_2019_4_a1,
     author = {G. A. Krylova},
     title = {Estimation of the large deviations parameter for a single-channel queueing system  with regenerative input flow},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {9--14},
     publisher = {mathdoc},
     number = {4},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2019_4_a1/}
}
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G. A. Krylova. Estimation of the large deviations parameter for a single-channel queueing system  with regenerative input flow. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2019), pp. 9-14. http://geodesic.mathdoc.fr/item/VMUMM_2019_4_a1/