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Volumn 88, Issue 2, 2000, Pages 177-193

Existence, recurrence and equilibrium properties of Markov branching processes with instantaneous immigration

Author keywords

Annihilation; Catastrophe; Equilibrium distribution; Existence; Markov branching process* q matrix; Recurrence; Resolvent; State dependent immigration

Indexed keywords


EID: 0013386228     PISSN: 03044149     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0304-4149(99)00125-8     Document Type: Article
Times cited : (16)

References (14)
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    • Chen, A.1    Renshaw, E.2
  • 5
    • 38249003889 scopus 로고
    • Recurrence of Markov branching processes with immigration
    • Chen A., Renshaw E. Recurrence of Markov branching processes with immigration. Stochastic Process. Appl. 45:1993;231-242.
    • (1993) Stochastic Process. Appl. , vol.45 , pp. 231-242
    • Chen, A.1    Renshaw, E.2
  • 6
    • 21144465641 scopus 로고
    • Existence and uniqueness criteria for conservative uni-instantaneous denumerable Markov processes
    • Chen A., Renshaw E. Existence and uniqueness criteria for conservative uni-instantaneous denumerable Markov processes. Probab. Theoret. Related Fields. 94:1993;427-456.
    • (1993) Probab. Theoret. Related Fields , vol.94 , pp. 427-456
    • Chen, A.1    Renshaw, E.2
  • 7
    • 0003210978 scopus 로고
    • Markov branching processes regulated by emigration and large immigration
    • Chen A., Renshaw E. Markov branching processes regulated by emigration and large immigration. Stochastic Proc. Appl. 57:1995;339-359.
    • (1995) Stochastic Proc. Appl. , vol.57 , pp. 339-359
    • Chen, A.1    Renshaw, E.2
  • 8
    • 84966250746 scopus 로고
    • On the integro-differential equations of purely discontinuous Markov processes
    • Feller W. On the integro-differential equations of purely discontinuous Markov processes. Trans. Amer. Math. Soc. 48:1940;488-515.
    • (1940) Trans. Amer. Math. Soc. , vol.48 , pp. 488-515
    • Feller, W.1
  • 9
    • 0001353118 scopus 로고
    • A limit theorem for a branching process with state-dependent immigration
    • Foster J.H. A limit theorem for a branching process with state-dependent immigration. Ann. Math. Statist. 42:1971;1773-1776.
    • (1971) Ann. Math. Statist. , vol.42 , pp. 1773-1776
    • Foster, J.H.1
  • 11
    • 0000337216 scopus 로고
    • A branching process with a state-dependent immigration component
    • Pakes A.G. A branching process with a state-dependent immigration component. Adv. Appl. Probab. 3:1971;301-314.
    • (1971) Adv. Appl. Probab. , vol.3 , pp. 301-314
    • Pakes, A.G.1
  • 12
    • 38248999620 scopus 로고
    • Absorbing Markov and branching processes with instantaneous resurrection
    • Pakes A.G. Absorbing Markov and branching processes with instantaneous resurrection. Stochastic Process. Appl. 48:1993;85-106.
    • (1993) Stochastic Process. Appl. , vol.48 , pp. 85-106
    • Pakes, A.G.1
  • 13
    • 84972534358 scopus 로고
    • Some results on continuous time branching processes with state-dependent immigration
    • Yamazato M. Some results on continuous time branching processes with state-dependent immigration. J. Math. Soc. Japan. 27:1975;479-496.
    • (1975) J. Math. Soc. Japan , vol.27 , pp. 479-496
    • Yamazato, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.