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Volumn 105, Issue 1, 2003, Pages 69-97

Tails of solutions of certain nonlinear stochastic differential equations driven by heavy tailed Lévy motions

Author keywords

Coupling; Heavy tails; L vy motion; Markov process; Stationary distribution; Stochastic differential equation; Storage processes

Indexed keywords


EID: 0037401191     PISSN: 03044149     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0304-4149(03)00002-4     Document Type: Article
Times cited : (28)

References (15)
  • 1
    • 0032221191 scopus 로고    scopus 로고
    • Subexponential asymptotics for stochastic processes: Extremal behavior, stationary distributions and first passage probabilities
    • Asmussen, S., 1998. Subexponential asymptotics for stochastic processes: extremal behavior, stationary distributions and first passage probabilities. Ann. Appl. Probab. 8, 354-374.
    • (1998) Ann. Appl. Probab. , vol.8 , pp. 354-374
    • Asmussen, S.1
  • 2
    • 0004044694 scopus 로고    scopus 로고
    • Cambridge University Press, Cambridge
    • Bertoin, J., 1996. Lévy Processes. Cambridge University Press, Cambridge.
    • (1996) Lévy Processes
    • Bertoin, J.1
  • 4
    • 0001736473 scopus 로고
    • Storage processes with general release rule and additive inputs
    • Brockwell, P., Resnick, S., Tweedie, R., 1982. Storage processes with general release rule and additive inputs. Adv. Appl. Probab. 14, 392-433.
    • (1982) Adv. Appl. Probab. , vol.14 , pp. 392-433
    • Brockwell, P.1    Resnick, S.2    Tweedie, R.3
  • 6
    • 0000367265 scopus 로고
    • Weak limit theorems for stochastic integrals and stochastic differential equations
    • Kurtz, T., Protter, P., 1991. Weak limit theorems for stochastic integrals and stochastic differential equations. Ann. Probab. 19, 1035-1070.
    • (1991) Ann. Probab. , vol.19 , pp. 1035-1070
    • Kurtz, T.1    Protter, P.2
  • 9
    • 0000820814 scopus 로고
    • An extremal problem in probability theory
    • Prokhorov, Y., 1959. An extremal problem in probability theory. Theory of Probab. Appl. 4, 201-204.
    • (1959) Theory of Probab. Appl. , vol.4 , pp. 201-204
    • Prokhorov, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.