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Volumn 31, Issue 10-12, 2000, Pages 69-79

Approximations of quasi-stationary distributions for Markov chains

Author keywords

Conditioned processes; Limiting conditional distributions; subinvariant measures

Indexed keywords


EID: 0034701978     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0895-7177(00)00073-X     Document Type: Article
Times cited : (10)

References (18)
  • 1
    • 0001383449 scopus 로고
    • On quasi-stationary distributions in absorbing continuous-time finite Markov chains
    • J.N. Darroch and E. Seneta, On quasi-stationary distributions in absorbing continuous-time finite Markov chains, J. Appl Probab. 4, 192-196 (1967).
    • (1967) J. Appl Probab. , vol.4 , pp. 192-196
    • Darroch, J.N.1    Seneta, E.2
  • 2
    • 0000381122 scopus 로고
    • Quasi-stationary distributions and convergence to quasi-stationarity of birth and death processes
    • E.A. van Doorn, Quasi-stationary distributions and convergence to quasi-stationarity of birth and death processes, Adv. Appl. Prob. 23, 683-700 (1991).
    • (1991) Adv. Appl. Prob. , vol.23 , pp. 683-700
    • Van Doorn, E.A.1
  • 3
    • 0013671275 scopus 로고
    • Finite approximations to infinite non-negative matrices
    • E. Seneta, Finite approximations to infinite non-negative matrices, Proc. Cambridge Phil. Soc. 63, 983-992 (1967).
    • (1967) Proc. Cambridge Phil. Soc. , vol.63 , pp. 983-992
    • Seneta, E.1
  • 4
    • 0003570325 scopus 로고
    • Springer Series in Statistics, Second edition, Springer-Verlag, New York
    • E. Seneta, Non-Negative Matrices and Markov Chains, Springer Series in Statistics, Second edition, Springer-Verlag, New York, (1981).
    • (1981) Non-Negative Matrices and Markov Chains
    • Seneta, E.1
  • 6
    • 0002702524 scopus 로고
    • On the relationship between μ-invariant measures and quasistationary distributions for continuous-time Markov chains
    • M.G. Nair and P.K. Pollett, On the relationship between μ-invariant measures and quasistationary distributions for continuous-time Markov chains, Adv. Appl. Probab. 25, 82-102 (1993).
    • (1993) Adv. Appl. Probab. , vol.25 , pp. 82-102
    • Nair, M.G.1    Pollett, P.K.2
  • 7
    • 0002527852 scopus 로고
    • Some ergodic properties of the Feller minimal process
    • R.L. Tweedie, Some ergodic properties of the Feller minimal process, Quart. J. Math. Oxford Ser. (3) 25, 485-495 (1974).
    • (1974) Quart. J. Math. Oxford Ser. (3) , vol.25 , pp. 485-495
    • Tweedie, R.L.1
  • 8
    • 0000566636 scopus 로고
    • On the equivalence of μ-invariant measures for the minimal process and its q-matrix
    • P.K. Pollett, On the equivalence of μ-invariant measures for the minimal process and its q-matrix. Stochastic Process. Appl. 22, 203-221 (1986).
    • (1986) Stochastic Process. Appl. , vol.22 , pp. 203-221
    • Pollett, P.K.1
  • 9
    • 84974129208 scopus 로고
    • Some limit theorems for evanescent processes
    • D. Vere-Jones, Some limit theorems for evanescent processes, Austral. J. Statist. 11, 67-78 (1969).
    • (1969) Austral. J. Statist. , vol.11 , pp. 67-78
    • Vere-Jones, D.1
  • 10
    • 84971123201 scopus 로고
    • Finite approximations to infinite non-negative matrices, II: Refinements and applications
    • E. Seneta, Finite approximations to infinite non-negative matrices, II: Refinements and applications, Proc. Cambridge Phil. Soc. 64, 465-470 (1968).
    • (1968) Proc. Cambridge Phil. Soc. , vol.64 , pp. 465-470
    • Seneta, E.1
  • 11
    • 84960569835 scopus 로고
    • The exponential decay of Markov transition probabilities
    • J.F.C. Kingman, The exponential decay of Markov transition probabilities, Proc. London Math. Soc. 13, 337-358 (1963).
    • (1963) Proc. London Math. Soc. , vol.13 , pp. 337-358
    • Kingman, J.F.C.1
  • 12
    • 21844488698 scopus 로고
    • Weak convergence of conditioned processes on a countable state space
    • S.D. Jacka and G.O. Roberts, Weak convergence of conditioned processes on a countable state space, J. Appl. Probab. 32, 902-916 (1995).
    • (1995) J. Appl. Probab. , vol.32 , pp. 902-916
    • Jacka, S.D.1    Roberts, G.O.2
  • 13
    • 0000851843 scopus 로고
    • Quasi-stationary distributions of birth-and-death processes
    • J.A. Cavender, Quasi-stationary distributions of birth-and-death processes, Adv. Appl. Probab. 10, 570-586 (1978).
    • (1978) Adv. Appl. Probab. , vol.10 , pp. 570-586
    • Cavender, J.A.1
  • 14
    • 0013673007 scopus 로고
    • Some results for quasi-stationary distributions of birth-death processes
    • M. Kijima and E. Seneta, Some results for quasi-stationary distributions of birth-death processes, J. Appl. Probab. 28, 503-511 (1991).
    • (1991) J. Appl. Probab. , vol.28 , pp. 503-511
    • Kijima, M.1    Seneta, E.2
  • 16
    • 21344488996 scopus 로고
    • Quasi-limiting distributions of Markov chains that are skip-free to the left in continuous-time
    • M. Kijima, Quasi-limiting distributions of Markov chains that are skip-free to the left in continuous-time, J. Appl Probab. 30, 509-517 (1993).
    • (1993) J. Appl Probab. , vol.30 , pp. 509-517
    • Kijima, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.