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Volumn 77, Issue 2, 1998, Pages 175-185

Stationary Markov processes related to stable Ornstein-Uhlenbeck processes and the additive coalescent

Author keywords

Coalescent; Extreme value; Flow; Jumping Markov process; Measure valued; Ornstein Uhlenbeck; Piecewise deterministic; Point process; Poisson; Primary 60G55; Secondary 60J25, 60G10; Stable; Stationary

Indexed keywords


EID: 0038900022     PISSN: 03044149     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0304-4149(98)00042-8     Document Type: Article
Times cited : (4)

References (12)
  • 2
    • 0003566688 scopus 로고    scopus 로고
    • The standard additive coalescent
    • Technical Report 489, Dept. Statistics, U.C. Berkeley Available via
    • Aldous, D.J., Pitman, J., 1997. The standard additive coalescent. Technical Report 489, Dept. Statistics, U.C. Berkeley. To appear in Ann. Probab. Available via http://www.stat.berkeley.edu/users/pitman.
    • (1997) To Appear in Ann. Probab.
    • Aldous, D.J.1    Pitman, J.2
  • 3
    • 0032371460 scopus 로고    scopus 로고
    • Darling-Erdös theorems for normalized sums of i.i.d. variables close to a stable law
    • to appear
    • Bertoin, J., 1998. Darling-Erdös theorems for normalized sums of i.i.d. variables close to a stable law. Ann. Probab., to appear.
    • (1998) Ann. Probab.
    • Bertoin, J.1
  • 4
    • 0000022188 scopus 로고
    • A delicate law of the iterated logarithm for non-decreasing stable processes
    • Breiman L. A delicate law of the iterated logarithm for non-decreasing stable processes. Ann. Math. Statist. 39:1968;1818-1824.
    • (1968) Ann. Math. Statist. , vol.39 , pp. 1818-1824
    • Breiman, L.1
  • 5
    • 0001736473 scopus 로고
    • Storage processes with general release rule and additive inputs
    • Brockwell P.J., Resnick S.I., Tweedie R.L. Storage processes with general release rule and additive inputs. Adv. Appl. Probab. 14:1982;392-433.
    • (1982) Adv. Appl. Probab. , vol.14 , pp. 392-433
    • Brockwell, P.J.1    Resnick, S.I.2    Tweedie, R.L.3
  • 6
    • 0000816682 scopus 로고
    • Piecewise-deterministic Markov processes: A general class of non-diffusion stochastic models
    • Davis M.H.A. Piecewise-deterministic Markov processes: a general class of non-diffusion stochastic models. J. Roy. Stat. Soc. Ser. B. 46:1984;353-388.
    • (1984) J. Roy. Stat. Soc. Ser. B , vol.46 , pp. 353-388
    • Davis, M.H.A.1
  • 7
  • 9
    • 0003848078 scopus 로고    scopus 로고
    • Coalescent random forests
    • to appear. Available via
    • Pitman, J., 1996. Coalescent random forests. J. Comb. Theory A, to appear. Available via http: // www.stat.berkeley.edu/users/pitman.
    • (1996) J. Comb. Theory A
    • Pitman, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.