Email this article On the Distribution of the First Component ηt of a Controlled Poisson Process {ηt, ξt}, t ≥ 0, without Boundary
- Authors: Aliev T.M.1, Omarova K.K.1
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Affiliations:
- Institute of Control Systems
- Issue: Vol 104, No 5-6 (2018)
- Pages: 623-627
- Section: Article
- URL: https://journal-vniispk.ru/0001-4346/article/view/151458
- DOI: https://doi.org/10.1134/S0001434618110019
- ID: 151458
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Abstract
An ergodicity condition for the first component ηt of a controlled Poisson process without boundary is found. The Laplace transform of the same component ηt, t ≥ 0, is obtained from the given transition probabilities of the process {ηt, ξt}, t ≥ 0. It is essential that the given process {ηt, ξt}, t ≥ 0, is a Markov process homogeneous in the second component.
About the authors
T. M. Aliev
Institute of Control Systems
Author for correspondence.
Email: tofig_eliev44@rambler.ru
Azerbaijan, Baku, Az, 1001
K. K. Omarova
Institute of Control Systems
Email: tofig_eliev44@rambler.ru
Azerbaijan, Baku, Az, 1001
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