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Volumn 7, Issue 4, 1997, Pages 953-971

Maxima of Poisson-like variables and related triangular arrays

Author keywords

Extreme values; Large deviations; Modelling of extremes; Poisson distribution; Radiation counts; Regular variation; Subexponential distributions; Triangular arrays

Indexed keywords


EID: 0031260680     PISSN: 10505164     EISSN: None     Source Type: Journal    
DOI: 10.1214/aoap/1043862420     Document Type: Article
Times cited : (48)

References (14)
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    • (1970) J. Appl. Probab. , vol.7 , pp. 99-113
    • Anderson, C.W.1
  • 2
    • 84971152511 scopus 로고
    • Local limit theorems for the maxima of discrete random variables
    • ANDERSON, C. W. (1980). Local limit theorems for the maxima of discrete random variables. Math. Proc. Camb. Philos. Soc. 88 161-165.
    • (1980) Math. Proc. Camb. Philos. Soc. , vol.88 , pp. 161-165
    • Anderson, C.W.1
  • 4
    • 84971815025 scopus 로고
    • On the closure and factorization theorems for subexponential and related distributions
    • EMBRECHTS, P. and GOLDIE, C. M. (1980). On the closure and factorization theorems for subexponential and related distributions. J. Austral. Math. Soc. Ser. A 29 243-256.
    • (1980) J. Austral. Math. Soc. Ser. A , vol.29 , pp. 243-256
    • Embrechts, P.1    Goldie, C.M.2
  • 7
    • 84958156266 scopus 로고
    • Limiting forms of the frequency distribution of the largest and smallest members of a sample
    • FISHER, R. A. and TIPPETT, L. H. C. (1928). Limiting forms of the frequency distribution of the largest and smallest members of a sample. Proc. Camb. Philos. Soc. 24 180-190.
    • (1928) Proc. Camb. Philos. Soc. , vol.24 , pp. 180-190
    • Fisher, R.A.1    Tippett, L.H.C.2
  • 8
    • 0002100961 scopus 로고
    • Penultimate behavior of the extremes
    • J. Galambos, ed. Kluwer, Dordrecht
    • GOMES, M. I. (1994). Penultimate behavior of the extremes. In Extreme Value Theory and Its Applications (J. Galambos, ed.) 403-418. Kluwer, Dordrecht.
    • (1994) Extreme Value Theory and Its Applications , pp. 403-418
    • Gomes, M.I.1
  • 9
  • 11
    • 0002470053 scopus 로고
    • Integral limit theorems for large deviations when Cramér's conditions are violated
    • In Russian
    • NAGAEV, A. V. (1969a). Integral limit theorems for large deviations when Cramér's conditions are violated. Izv. Akad. Nauk. UzSSR Ser. Fiz.-Mat. Nauk. 6 17-22. (In Russian.)
    • (1969) Izv. Akad. Nauk. UzSSR Ser. Fiz.-Mat. Nauk. , vol.6 , pp. 17-22
    • Nagaev, A.V.1
  • 12
    • 0002260883 scopus 로고
    • Integral limit theorems for large deviations when Cramér's condition is not fulfilled I, II
    • NAGAEV, A. V. (1969b). Integral limit theorems for large deviations when Cramér's condition is not fulfilled I, II. Theory Probab. Appl. 14 51-64, 193-208.
    • (1969) Theory Probab. Appl. , vol.14 , pp. 51-64
    • Nagaev, A.V.1
  • 13
    • 0000895088 scopus 로고
    • Large deviations of sums of independent random variables
    • NAGAEV, S. (1979). Large deviations of sums of independent random variables. Ann. Probab. 7 745-789.
    • (1979) Ann. Probab. , vol.7 , pp. 745-789
    • Nagaev, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.