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Volumn 32, Issue 4, 1997, Pages 377-383

Submultiplicative moments of the supremum of a random walk with negative drift

Author keywords

Banach algebras; First positive sum; Infinite divisibility; Moments; Random walk; Submultiplicative functions; Supremum; Wiener Hopf factorization

Indexed keywords


EID: 0031116186     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0167-7152(96)00097-1     Document Type: Article
Times cited : (31)

References (11)
  • 1
    • 0000600268 scopus 로고
    • On generalized renewal measures and certain first passage times
    • Alsmeyer, G. (1992), On generalized renewal measures and certain first passage times, Ann. Probab. 20, 1229-1247.
    • (1992) Ann. Probab. , vol.20 , pp. 1229-1247
    • Alsmeyer, G.1
  • 7
    • 0000781836 scopus 로고
    • Moments for first passage times, the minimum, and related quantities for random walks with positive drift
    • Janson, S. (1986), Moments for first passage times, the minimum, and related quantities for random walks with positive drift, Adv. Appl. Probab. 18, 865-879.
    • (1986) Adv. Appl. Probab. , vol.18 , pp. 865-879
    • Janson, S.1
  • 8
    • 0000165748 scopus 로고
    • On the characteristics of the general queueing process, with applications to random walk
    • Kiefer, J. and J. Wolfowitz (1956). On the characteristics of the general queueing process, with applications to random walk, Ann. Math. Statist. 27, 147-161.
    • (1956) Ann. Math. Statist. , vol.27 , pp. 147-161
    • Kiefer, J.1    Wolfowitz, J.2
  • 9
    • 5044220032 scopus 로고
    • A remark on the theory of infinitely divisible laws
    • In Russian
    • Kruglov, V.M. (1970), A remark on the theory of infinitely divisible laws, Teor. Veroyatnost. i Primen. 15, 330-336. (In Russian).
    • (1970) Teor. Veroyatnost. i Primen. , vol.15 , pp. 330-336
    • Kruglov, V.M.1
  • 10
    • 0000886338 scopus 로고
    • Banach algebras of measures on the line
    • Rogozin, B.A. and M.S. Sgibnev (1980), Banach algebras of measures on the line, Siberian Math. J. 21, 265-273.
    • (1980) Siberian Math. J. , vol.21 , pp. 265-273
    • Rogozin, B.A.1    Sgibnev, M.S.2
  • 11
    • 0002237215 scopus 로고
    • Asymptotic behaviour of Wiener-Hopf factors of a random walk
    • Veraverbeke, N. (1977), Asymptotic behaviour of Wiener-Hopf factors of a random walk, Stochastic Process. Appl. 5, 27-37.
    • (1977) Stochastic Process. Appl. , vol.5 , pp. 27-37
    • Veraverbeke, N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.