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Volumn 61, Issue 2, 1996, Pages 311-322

Superposed continuous renewal processes a Markov renewal approach

Author keywords

Convergence rates; Coupling; Markov renewal equation; Markov renewal theorem; Stone type decomposition; Superpositions

Indexed keywords


EID: 0030076255     PISSN: 03044149     EISSN: None     Source Type: Journal    
DOI: 10.1016/0304-4149(95)00079-8     Document Type: Article
Times cited : (16)

References (14)
  • 1
    • 38149143348 scopus 로고
    • On the Markov renewal theorem
    • G. Alsmeyer, On the Markov renewal theorem, Stochastic Process Appl. 50 (1994) 37-56.
    • (1994) Stochastic Process Appl. , vol.50 , pp. 37-56
    • Alsmeyer, G.1
  • 2
    • 85027207423 scopus 로고
    • Superposed renewal processes: A Markov renewal approach
    • Tech. Rept. No. 9/95-S, Universität Münster
    • G. Alsmeyer, Superposed renewal processes: A Markov renewal approach, Tech. Rept. No. 9/95-S, Angew. Math, und Informatik, Universität Münster (1995).
    • (1995) Angew. Math, und Informatik
    • Alsmeyer, G.1
  • 4
    • 84974325976 scopus 로고
    • Limit theorems for semi-Markov processes
    • K.B. Athreya and P. Ney, Limit theorems for semi-Markov processes, Bull. Austral. Math. Soc. 19 (1978) 283-294.
    • (1978) Bull. Austral. Math. Soc. , vol.19 , pp. 283-294
    • Athreya, K.B.1    Ney, P.2
  • 5
    • 0000511123 scopus 로고
    • Limit theorems for semi-Markov processes and renewal theory for Markov chains
    • K.B. Athreya, D. McDonald and P. Ney, Limit theorems for semi-Markov processes and renewal theory for Markov chains, Ann. Probab. 6 (1978) 788-797.
    • (1978) Ann. Probab. , vol.6 , pp. 788-797
    • Athreya, K.B.1    McDonald, D.2    Ney, P.3
  • 7
    • 0011417751 scopus 로고
    • Théorème de renouvellement et classification pour les chaines semi-Markoviennes
    • J. Jacod, Théorème de renouvellement et classification pour les chaines semi-Markoviennes, Ann. Inst. H. Poincaré B 7 (1971) 83-129.
    • (1971) Ann. Inst. H. Poincaré B , vol.7 , pp. 83-129
    • Jacod, J.1
  • 8
    • 0001661229 scopus 로고
    • Renewal theory for functionals of a Markov chain with general state space
    • H. Kesten, Renewal theory for functionals of a Markov chain with general state space, Ann. Probab. 2 (1974) 355-386.
    • (1974) Ann. Probab. , vol.2 , pp. 355-386
    • Kesten, H.1
  • 9
    • 0002542603 scopus 로고
    • Superposition of renewal processes
    • C.Y.T. Lam and J.P. Lehoczky, Superposition of renewal processes, Adv. Appl. Probab. 23 (1991) 64-85.
    • (1991) Adv. Appl. Probab. , vol.23 , pp. 64-85
    • Lam, C.Y.T.1    Lehoczky, J.P.2
  • 11
    • 0000053788 scopus 로고
    • On the theory of Markov renewal
    • V.M. Shurenkov, On the theory of Markov renewal, Theory Probab. Appl. 29 (1984) 247-265.
    • (1984) Theory Probab. Appl. , vol.29 , pp. 247-265
    • Shurenkov, V.M.1
  • 13
    • 0000359354 scopus 로고
    • One-dependent regenerative processes and queues in continuous time
    • K. Sigman, One-dependent regenerative processes and queues in continuous time, Math. Oper. Res. 15 (1990) 175-189.
    • (1990) Math. Oper. Res. , vol.15 , pp. 175-189
    • Sigman, K.1
  • 14
    • 0011513113 scopus 로고
    • Coupling for Markov renewal processes and the rate of convergence in ergodic theorems for processes with semi-Markov switchings
    • D.S. Silvestrov, Coupling for Markov renewal processes and the rate of convergence in ergodic theorems for processes with semi-Markov switchings, Acta Appl. Math. 34 (1994) 109-124.
    • (1994) Acta Appl. Math. , vol.34 , pp. 109-124
    • Silvestrov, D.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.