Stability of birth-and-death processes

Journal of Mathematical Sciences

Volumn 91, Issue 3, 1998, Pages 3023-3031

  Zeifman, A I ^a  

^a VOLOGDA STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 54649083861     PISSN: 10723374     EISSN: 15738795     Source Type: Journal    
DOI: 10.1007/BF02432876     Document Type: Article

References (9)

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2. N. V. Kartashov, "Strongly stable Markov chains," in: Stability Problems for Stochastic Models [in Russian], Moscow (1981), pp. 54-59.
3. S. M. Lozinskii, "Error estimate of numerical integration of an ordinary differential equation," Izv. Vuzov, Ser. Mat., No. 5, 52-90 (1958).
4. A. I. Zeifman, "Stability for continuous-time nonhomogeneous Markov chains," Lect. Notes Math., 1155, 401-414 (1985).
5. A. I. Zeifman, "Qualitative properties of nonhomogeneous birth-and-death processes," in: Stability Problems for Stochastic Models [in Russian], Moscow (1988), pp. 32-40.
6. A. I. Zeifman, "Some estimates of the rate of convergence for birth-and-death processes," J. Appl. Probab., 28, 268-277 (1991).
7. A. I. Zeifman, "Upper and lower bounds on the rate of convergence for nonhomogeneous birth-and-death processes," Stoch. Processes Appl., 59, 157-173 (1995).
8. J. Johnson and D. Isaacson, "Condition for strong ergodicity using intensity matrices," J. Appl. Probab., 25, No. 1, 34-42 (1988).
9. A. I. Zeifman and D. Isaacson, "On strong ergodicity for nonhomogeneous continuous-time Markov chains," Stoch. Proc. Appl., 50, 263-273 (1994).