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Second order properties of thinned counts in finite birth–death processes

D. J. Daley et al.

Queueing Systems2026https://doi.org/10.1007/s11134-026-09974-5article
AJG 2
Weight
0.50

What the paper says

The paper studies the counting process arising as a subset of births and deaths in a birth–death process on a finite state space. Whenever a birth or death occurs, the process is incremented or not depending on the outcome of an independent Bernoulli experiment whose probability is a function of the state of the birth and death process and also depends on whether it is a birth or death that has occurred. We establish a formula for the asymptotic variance rate of this process, also presented as the ratio of the asymptotic variance and the asymptotic mean. Several examples including queueing models illustrate the scope of applicability of the results. An analogous formula for the countably infinite state space is conjectured and tested.

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https://doi.org/https://doi.org/10.1007/s11134-026-09974-5

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@article{d.2026,
  title        = {{Second order properties of thinned counts in finite birth–death processes}},
  author       = {D. J. Daley et al.},
  journal      = {Queueing Systems},
  year         = {2026},
  doi          = {https://doi.org/https://doi.org/10.1007/s11134-026-09974-5},
}

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Second order properties of thinned counts in finite birth–death processes

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Evidence weight

0.50

Balanced mode · F 0.40 / M 0.15 / V 0.05 / R 0.40

F · citation impact0.50 × 0.4 = 0.20
M · momentum0.50 × 0.15 = 0.07
V · venue signal0.50 × 0.05 = 0.03
R · text relevance †0.50 × 0.4 = 0.20

† Text relevance is estimated at 0.50 on the detail page — for your query’s actual relevance score, open this paper from a search result.