메뉴 건너뛰기




Volumn 12, Issue 1, 2002, Pages 69-100

Tail probabilities of subadditive functionals of Lévy processes

Author keywords

Heavy tails; Last hitting time; L vy process; Negative drift; Risk; Ruin probability; Sojourn time; Subadditive functional; Supremum

Indexed keywords


EID: 0036113450     PISSN: 10505164     EISSN: None     Source Type: Journal    
DOI: 10.1214/aoap/1015961156     Document Type: Article
Times cited : (13)

References (16)
  • 3
    • 0043035796 scopus 로고    scopus 로고
    • Tail probabilities of sub-additive functionals acting on Lévy processes
    • Laboratory of Actuarial Mathematics, Univ. Copenhagen. Available as levy.ps.gz
    • BRAVERMAN, M., MIKOSCH, T. and SAMORODNITSKY, G. (2000). Tail probabilities of sub-additive functionals acting on Lévy processes. Technical report, Laboratory of Actuarial Mathematics, Univ. Copenhagen. Available as levy.ps.gz under www.math.ku.dk/̃mikosch/Preprint/Levy.
    • (2000) Technical Report
    • Braverman, M.1    Mikosch, T.2    Samorodnitsky, G.3
  • 6
    • 0002944036 scopus 로고
    • Estimates for the probability of ruin with special emphasis on the possibility of large claims
    • EMBRECHTS, P. and VERAVERBEKE, N. (1982). Estimates for the probability of ruin with special emphasis on the possibility of large claims. Insurance Math. Econom. 1 55-72.
    • (1982) Insurance Math. Econom. , vol.1 , pp. 55-72
    • Embrechts, P.1    Veraverbeke, N.2
  • 7
    • 0033210499 scopus 로고    scopus 로고
    • Extremes of a certain class of Gaussian processes
    • HÜSLER, J. and PITERBARG, V. (1999). Extremes of a certain class of Gaussian processes. Stochastic Process. Appl. 83 257-271.
    • (1999) Stochastic Process. Appl. , vol.83 , pp. 257-271
    • Hüsler, J.1    Piterbarg, V.2
  • 8
    • 0003033947 scopus 로고
    • Infinitely divisible processes
    • MARUYAMA, G. (1970). Infinitely divisible processes. Theory Probab. Appl. 15 1-22.
    • (1970) Theory Probab. Appl. , vol.15 , pp. 1-22
    • Maruyama, G.1
  • 9
    • 0034560398 scopus 로고    scopus 로고
    • Ruin probabilities for a random walk with stable stationary ergodic increments
    • MIKOSCH, T. and SAMORODNITSKY, G. (2000). Ruin probabilities for a random walk with stable stationary ergodic increments. Ann. Probab. 28 1814-1851.
    • (2000) Ann. Probab. , vol.28 , pp. 1814-1851
    • Mikosch, T.1    Samorodnitsky, G.2
  • 12
    • 0000820814 scopus 로고
    • An extremal problem in probability theory
    • PROKHOROV, Y. (1959). An extremal problem in probability theory. Theory Probab. Appl. 4 201-204.
    • (1959) Theory Probab. Appl. , vol.4 , pp. 201-204
    • Prokhorov, Y.1
  • 14
    • 0000945009 scopus 로고
    • Distributions of subadditive functionals of sample paths of infinitely divisible processes
    • ROSIŃSKI, J. and SAMORODNITSKY, G. (1993). Distributions of subadditive functionals of sample paths of infinitely divisible processes. Ann. Probab. 21996-1014.
    • (1993) Ann. Probab. , vol.21 , pp. 996-1014
    • Rosiński, J.1    Samorodnitsky, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.