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Volumn 31, Issue 10-12, 2000, Pages 107-113

Further results on the relationship between μ-invariant measures and quasi-stationary distributions for absorbing continuous-time Markov chains

Author keywords

invariant measures; Absorbing continuous time Markov chains; Quasi stationary distribution

Indexed keywords


EID: 0034701960     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0895-7177(00)00077-7     Document Type: Article
Times cited : (4)

References (12)
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  • 2
    • 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).
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    • Pollett, P.K.1
  • 3
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    • Pollett, P.K.1
  • 5
    • 0000381122 scopus 로고
    • Quasi-stationary distributions and convergence to quasi-stationarity of birth-death processes
    • E.A. van Doorn, Quasi-stationary distributions and convergence to quasi-stationarity of birth-death processes, Adv. Appl. Probab. 23, 683-700, (1991).
    • (1991) Adv. Appl. Probab. , vol.23 , pp. 683-700
    • Van Doorn, E.A.1
  • 6
    • 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).
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    • Vere-Jones, D.1
  • 7
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    • Quasistationary distributions for absorbing continuous time denumerable Markov chains
    • D.C. Flaspohler, Quasistationary distributions for absorbing continuous time denumerable Markov chains, Ann. Inst. Statist. Math. 26, 351-356, (1974).
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    • Flaspohler, D.C.1
  • 9
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    • The differential equations of birth and death processes, and the Stieltjes moment problem
    • S. Karlin And J.L. McGregor, The differential equations of birth and death processes, and the Stieltjes moment problem, Trans. Amer. Math. Soc. 85, 489-546, (1957).
    • (1957) Trans. Amer. Math. Soc. , vol.85 , pp. 489-546
    • Karlin, S.1    McGregor, J.L.2
  • 10
    • 84968465028 scopus 로고
    • The classification of birth and death processes
    • S. Karlin And J.L. McGregor, The classification of birth and death processes, Trans. Amer. Math. Soc. 86, 366-400, (1957).
    • (1957) Trans. Amer. Math. Soc. , vol.86 , pp. 366-400
    • Karlin, S.1    McGregor, J.L.2
  • 11
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    • Limiting conditional distributions for birth-death processes
    • M. Kijima, M.G. Nair, P.K. Pollett And E. van Doorn, Limiting conditional distributions for birth-death processes, Adv. Appl. Probab. 29, 185-204, (1997).
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    • Kijima, M.1    Nair, M.G.2    Pollett, P.K.3    Van Doorn, E.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.