메뉴 건너뛰기




Volumn 137, Issue 3, 2007, Pages 841-857

Approximation of the distribution of excesses through a generalized probability-weighted moments method

Author keywords

Excesses; Extreme values; Generalized Pareto distribution; Generalized probability weighted moments; Penultimate approximation

Indexed keywords


EID: 33751094894     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jspi.2006.06.012     Document Type: Article
Times cited : (34)

References (18)
  • 2
    • 0345099641 scopus 로고
    • Convergence rates for the ultimate and penultimate approximations in extreme-value theory
    • Cohen J.P. Convergence rates for the ultimate and penultimate approximations in extreme-value theory. Adv. Appl. Probab. 14 (1982) 833-854
    • (1982) Adv. Appl. Probab. , vol.14 , pp. 833-854
    • Cohen, J.P.1
  • 3
    • 0346328617 scopus 로고    scopus 로고
    • Asymptotic behaviour of the probability-weighted moments and penultimate approximation
    • Diebolt J., Guillou A., and Worms R. Asymptotic behaviour of the probability-weighted moments and penultimate approximation. E.S.A.I.M. Probab. Statist. 7 (2003) 219-238
    • (2003) E.S.A.I.M. Probab. Statist. , vol.7 , pp. 219-238
    • Diebolt, J.1    Guillou, A.2    Worms, R.3
  • 5
    • 0000587528 scopus 로고
    • Approximation to permutation and exchangeable processes
    • Einmahl U., and Mason D.M. Approximation to permutation and exchangeable processes. J. Theoret. Probab. 5 (1992) 101-126
    • (1992) J. Theoret. Probab. , vol.5 , pp. 101-126
    • Einmahl, U.1    Mason, D.M.2
  • 6
    • 84958156266 scopus 로고
    • Limiting forms of the frequency distribution of the largest or the smallest member of a sample
    • Fisher R.A., and Tippett L.H.C. Limiting forms of the frequency distribution of the largest or the smallest member of a sample. Proc. Cambridge Philos. Soc. 24 (1928) 180-190
    • (1928) Proc. Cambridge Philos. Soc. , vol.24 , pp. 180-190
    • Fisher, R.A.1    Tippett, L.H.C.2
  • 7
    • 0000005110 scopus 로고
    • Sur la distribution limite du terme maximum d'une série aléatoire
    • Gnedenko B.V. Sur la distribution limite du terme maximum d'une série aléatoire. Ann. Math. 44 (1943) 423-453
    • (1943) Ann. Math. , vol.44 , pp. 423-453
    • Gnedenko, B.V.1
  • 8
    • 51249185480 scopus 로고
    • Penultimate limiting forms in extreme value theory
    • Gomes M.I. Penultimate limiting forms in extreme value theory. Adv. Inst. Statist. Math. 36 (1984) 71-85
    • (1984) Adv. Inst. Statist. Math. , vol.36 , pp. 71-85
    • Gomes, M.I.1
  • 9
    • 0013134878 scopus 로고    scopus 로고
    • Approximation by penultimate extreme value distribution
    • Gomes M.I., and de Haan L. Approximation by penultimate extreme value distribution. Extremes 1 (1999) 71-85
    • (1999) Extremes , vol.1 , pp. 71-85
    • Gomes, M.I.1    de Haan, L.2
  • 10
    • 33751092985 scopus 로고    scopus 로고
    • Gomes, M.I., Pestana, D.D., 1987. Non Standard Domains of Attraction and Rates of Convergence. Wiley, New York, pp. 467-477.
  • 11
    • 0018713386 scopus 로고
    • Probability-weighted moments: definition and relation to parameters of several distributions expressible in inverse form
    • Greenwood J.A., Landwehr J.M., Matalas N.C., and Wallis J.R. Probability-weighted moments: definition and relation to parameters of several distributions expressible in inverse form. Water Resources Res. 15 (1979) 1049-1054
    • (1979) Water Resources Res. , vol.15 , pp. 1049-1054
    • Greenwood, J.A.1    Landwehr, J.M.2    Matalas, N.C.3    Wallis, J.R.4
  • 14
    • 0023400777 scopus 로고
    • Parameter and quantile estimation for the generalized Pareto distribution
    • Hosking J.R.M., and Wallis J.R. Parameter and quantile estimation for the generalized Pareto distribution. Technometrics 29 (1987) 339-349
    • (1987) Technometrics , vol.29 , pp. 339-349
    • Hosking, J.R.M.1    Wallis, J.R.2
  • 17
    • 33751120888 scopus 로고    scopus 로고
    • Worms, R., 2000. Vitesses de convergence pour l'approximation des queues de distributions. Thèse de doctorat, de l'Université de Marne-la-Vallée.
  • 18
    • 0037000302 scopus 로고    scopus 로고
    • Penultimate approximation for the distribution of the excesses
    • Worms R. Penultimate approximation for the distribution of the excesses. E.S.A.I.M. Probab. Statist. 6 (2002) 21-31
    • (2002) E.S.A.I.M. Probab. Statist. , vol.6 , pp. 21-31
    • Worms, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.