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Volumn 66, Issue 1, 1997, Pages 115-145

Tails of passage-times and an application to stochastic processes with boundary reflection in wedges

Author keywords

Markov chain with boundary reflection; Passage times; Recurrence classification; Reflected brownian motion

Indexed keywords


EID: 0031065863     PISSN: 03044149     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0304-4149(96)00118-4     Document Type: Article
Times cited : (13)

References (18)
  • 2
    • 0000755651 scopus 로고
    • On the convergence of 2-dimensional Markov chains in quadrants with boundary reflection
    • S. Aspandiiarov, On the convergence of 2-dimensional Markov chains in quadrants with boundary reflection, Stochastics Stochastic Rep. 53 (1995) 275-303.
    • (1995) Stochastics Stochastic Rep. , vol.53 , pp. 275-303
    • Aspandiiarov, S.1
  • 3
    • 85033073524 scopus 로고
    • Ph.D. Dissertation, Université Paris VI Paris
    • S. Aspandiiarov, Ph.D. Dissertation, Université Paris VI (Paris, 1994).
    • (1994)
    • Aspandiiarov, S.1
  • 5
    • 0030485949 scopus 로고    scopus 로고
    • Passage-time moments for non-negative stochastic processes and an application to reflected random walks in a quadrant
    • S. Aspandiiarov, R. Iasnogorodski and M. Menshikov, Passage-time moments for non-negative stochastic processes and an application to reflected random walks in a quadrant, Ann. Probab. 26 (1996).
    • (1996) Ann. Probab. , vol.26
    • Aspandiiarov, S.1    Iasnogorodski, R.2    Menshikov, M.3
  • 6
    • 0010794899 scopus 로고
    • On conditions of transience and recurrence for 2-dimensional Markov chains with boundary reflection
    • I. Asymont, G. Fayolle and M. Menshikov, On conditions of transience and recurrence for 2-dimensional Markov chains with boundary reflection, Adv. Appl. Probab. 32 (1995) 941-955.
    • (1995) Adv. Appl. Probab. , vol.32 , pp. 941-955
    • Asymont, I.1    Fayolle, G.2    Menshikov, M.3
  • 11
    • 0000939707 scopus 로고
    • Criteria for stochastic processes II: Passage-time moments
    • J. Lamperti, Criteria for stochastic processes II: passage-time moments, J. Math. Anal. Appl. 7 (1963) 127-145.
    • (1963) J. Math. Anal. Appl. , vol.7 , pp. 127-145
    • Lamperti, J.1
  • 12
    • 0000285063 scopus 로고    scopus 로고
    • Passage-time moments for non-negative continuous stochastic processes and applications
    • to appear
    • M. Menshikov and R.J. Williams, Passage-time moments for non-negative continuous stochastic processes and applications, Adv. Appl. Probab., to appear (1996).
    • (1996) Adv. Appl. Probab.
    • Menshikov, M.1    Williams, R.J.2
  • 15
    • 0000099991 scopus 로고
    • Geometric ergodicity of Harris recurrent Markov chains with applications to renewal theory
    • E. Nummelin and P. Tuominnen, Geometric ergodicity of Harris recurrent Markov chains with applications to renewal theory, Stochastic Processes Appl. 12 (1983) 187-202.
    • (1983) Stochastic Processes Appl. , vol.12 , pp. 187-202
    • Nummelin, E.1    Tuominnen, P.2
  • 16
    • 0001153782 scopus 로고
    • Subgeometric rates of convergence of f-ergodic Markov chains
    • E. Nummelin and R.L. Tweedie, Subgeometric rates of convergence of f-ergodic Markov chains. Adv. Appl. Probab. 26 (1994) 775-798.
    • (1994) Adv. Appl. Probab. , vol.26 , pp. 775-798
    • Nummelin, E.1    Tweedie, R.L.2
  • 17
    • 84990581872 scopus 로고
    • Brownian motion in a wedge with oblique reflection
    • S.R.S. Varadhan and R.J. Williams, Brownian motion in a wedge with oblique reflection, Comm. Pure Appl. Math. 38 (1985) 405-443.
    • (1985) Comm. Pure Appl. Math. , vol.38 , pp. 405-443
    • Varadhan, S.R.S.1    Williams, R.J.2
  • 18
    • 0001371244 scopus 로고
    • Recurrence classification for reflected Brownian motion in a wedge
    • R.J. Williams, Recurrence classification for reflected Brownian motion in a wedge, Ann. Probab. 13 (1985) 758-778.
    • (1985) Ann. Probab. , vol.13 , pp. 758-778
    • Williams, R.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.