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Volumn 38, Issue 3, 1998, Pages 229-233

Mixed poisson distributions tail equivalent to their mixing distributions

Author keywords

Extreme value theory; Lognormal distribution; Mixed Poisson distribution; Negative binomial distribution; Pareto distribution; Poisson lognormal distribution; Tail equivalence

Indexed keywords


EID: 0032525542     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0167-7152(98)00019-4     Document Type: Article
Times cited : (11)

References (17)
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    • Anderson, C.W.1
  • 2
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    • Anderson, C.W.1
  • 3
    • 0031260680 scopus 로고    scopus 로고
    • Maxima of Poisson-like variables and related triangular arrays
    • Anderson, C.W., Coles, S.G., and Hüsler, J., 1997. Maxima of Poisson-like variables and related triangular arrays, Ann. of Appl. Probab., 7, 953-971.
    • (1997) Ann. of Appl. Probab. , vol.7 , pp. 953-971
    • Anderson, C.W.1    Coles, S.G.2    Hüsler, J.3
  • 4
    • 84979326540 scopus 로고
    • Asymptotische darstellungen für integrale und reihen mit anwendungen
    • Berg, L., 1958. Asymptotische darstellungen für integrale und reihen mit anwendungen. Mathematische Nachtrichten 17, 101-135.
    • (1958) Mathematische Nachtrichten , vol.17 , pp. 101-135
    • Berg, L.1
  • 6
    • 0015981751 scopus 로고
    • On fitting the Poisson lognormal distribution to species abundance data
    • Bulmer, M.G., 1974. On fitting the Poisson lognormal distribution to species abundance data. Biometrics 30, 101-110.
    • (1974) Biometrics , vol.30 , pp. 101-110
    • Bulmer, M.G.1
  • 9
    • 0000005110 scopus 로고
    • Sur la distribution limite du terme maximum d'une série aléatoire
    • Gnedenko, B.V., 1943. Sur la distribution limite du terme maximum d'une série aléatoire. Ann. Math. 44, 423-453.
    • (1943) Ann. Math. , vol.44 , pp. 423-453
    • Gnedenko, B.V.1
  • 10
    • 0000242401 scopus 로고
    • Distributions that are both subexponential and in the domain of attraction of an extreme-value distribution
    • Goldie, C.M., Resnick S., 1988. Distributions that are both subexponential and in the domain of attraction of an extreme-value distribution. Adv. Appl. Probab. 20, 706-718.
    • (1988) Adv. Appl. Probab. , vol.20 , pp. 706-718
    • Goldie, C.M.1    Resnick, S.2
  • 13
    • 0010118403 scopus 로고
    • Species frequency distributions
    • Holgate, P., 1969. Species frequency distributions. Biometrika 56, 651-660.
    • (1969) Biometrika , vol.56 , pp. 651-660
    • Holgate, P.1
  • 15
    • 0000569678 scopus 로고
    • Tail equivalence and its applications
    • Resnick, S.I., 1971. Tail equivalence and its applications. J. Appl. Probab. 8, 135-156.
    • (1971) J. Appl. Probab. , vol.8 , pp. 135-156
    • Resnick, S.I.1
  • 16
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    • Poisson-lognormal distributions
    • Crow, E.L., Shimizu, K. (Eds.), Marcel Dekker, New York
    • Shaban, S.A., 1988. Poisson-lognormal distributions. in: Crow, E.L., Shimizu, K. (Eds.), Lognormal Distributions: Theory and Applications. Marcel Dekker, New York, pp. 195-210.
    • (1988) Lognormal Distributions: Theory and Applications , pp. 195-210
    • Shaban, S.A.1
  • 17
    • 0000837626 scopus 로고
    • The class of subexponential distributions
    • Teugels, J.L., 1975. The class of subexponential distributions. Ann. Probab. 3(6), 1000-1011.
    • (1975) Ann. Probab. , vol.3 , Issue.6 , pp. 1000-1011
    • Teugels, J.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.