EN
On a conditioned Limit Structure of the Markov Branching Process
Abstract
The principal aims are to investigate asymptotic properties of the stochastic population process as a continuous-time Markov chain called Markov Q-Process. We investigate asymptotic properties of the transition probabilities of the Markov Q-Process and their convergence to stationary measures.
Keywords
References
- Anderson, W.(1991). Continuous-Time Markov Chains: An Applications-Oriented Approach. New York: Springer.
- Athreya, K.B. and Ney, P.E.(1972). Branching processes. New York: Springer.
- Formanov, Sh.K. and Imomov, A.A.(2011). On asymptotic properties of Q-processes. Uzbek Mathematical Journal, 3, 175-183. (in Russian)
- Heatcote, C.R., Seneta E. and Vere-Jones.(1967). A refinement of two theorems in the theory of branching process. Theory of Probab. and its Appl., 12(2), 341-346.
- Imomov, A.A.(2014). On long-term behavior of continuous-time Markov Branching Processes allowing Immigration. Journal of Siberian Federal University. Mathematics and Physics, 7(4), 429-440.
- Imomov, A.A.(2012). On Markov analogue of Q-processes with continuous time. Theory of Probability and Mathematical Statistics, 84, 57-64.
- Imomov, A.A.(2005). A differential analog of the main lemma of the theory of Markov branching processes and its applications. Ukrainian Math. Journal, 57(2), 307–315.
- Imomov, A.A.(2002). Some asymptotical behaviors of Galton-Watson branching processes under condition of non-extinctinity of it remote future. Abstracts of Comm. of 8th Vilnius Conference: Probab. Theory and Math. Statistics, Vilnius, Lithuania, p.118.
Details
Primary Language
English
Subjects
Engineering
Journal Section
Research Article
Authors
Publication Date
March 31, 2017
Submission Date
March 10, 2017
Acceptance Date
-
Published in Issue
Year 1970 Volume: 5 Number: 1
APA
Imomov, A. (2017). On a conditioned Limit Structure of the Markov Branching Process. International Journal of Applied Mathematics Electronics and Computers, 5(1), 25-28. https://izlik.org/JA59XF56PP
AMA
1.Imomov A. On a conditioned Limit Structure of the Markov Branching Process. International Journal of Applied Mathematics Electronics and Computers. 2017;5(1):25-28. https://izlik.org/JA59XF56PP
Chicago
Imomov, Azam. 2017. “On a Conditioned Limit Structure of the Markov Branching Process”. International Journal of Applied Mathematics Electronics and Computers 5 (1): 25-28. https://izlik.org/JA59XF56PP.
EndNote
Imomov A (March 1, 2017) On a conditioned Limit Structure of the Markov Branching Process. International Journal of Applied Mathematics Electronics and Computers 5 1 25–28.
IEEE
[1]A. Imomov, “On a conditioned Limit Structure of the Markov Branching Process”, International Journal of Applied Mathematics Electronics and Computers, vol. 5, no. 1, pp. 25–28, Mar. 2017, [Online]. Available: https://izlik.org/JA59XF56PP
ISNAD
Imomov, Azam. “On a Conditioned Limit Structure of the Markov Branching Process”. International Journal of Applied Mathematics Electronics and Computers 5/1 (March 1, 2017): 25-28. https://izlik.org/JA59XF56PP.
JAMA
1.Imomov A. On a conditioned Limit Structure of the Markov Branching Process. International Journal of Applied Mathematics Electronics and Computers. 2017;5:25–28.
MLA
Imomov, Azam. “On a Conditioned Limit Structure of the Markov Branching Process”. International Journal of Applied Mathematics Electronics and Computers, vol. 5, no. 1, Mar. 2017, pp. 25-28, https://izlik.org/JA59XF56PP.
Vancouver
1.Azam Imomov. On a conditioned Limit Structure of the Markov Branching Process. International Journal of Applied Mathematics Electronics and Computers [Internet]. 2017 Mar. 1;5(1):25-8. Available from: https://izlik.org/JA59XF56PP