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Volumn 33, Issue 1, 1996, Pages 138-145

On the asymptotic joint distribution of the sum and maximum of stationary normal random variables

Author keywords

Extreme value; Gaussian process; Long range dependence; Partial sum

Indexed keywords


EID: 0030558543     PISSN: 00219002     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0021900200103791     Document Type: Article
Times cited : (48)

References (11)
  • 1
    • 0010086772 scopus 로고
    • The joint limiting distribution of sums and maxima of stationary sequences
    • ANDERSON, C. W. AND TURKMAN, K. F. (1991a) The joint limiting distribution of sums and maxima of stationary sequences. J. Appl. Prob. 28, 33-44.
    • (1991) J. Appl. Prob. , vol.28 , pp. 33-44
    • Anderson, C.W.1    Turkman, K.F.2
  • 2
    • 0039173624 scopus 로고
    • Sums and maxima in stationary sequences
    • ANDERSON, C. W. AND TURKMAN, K. F. (1991b). Sums and maxima in stationary sequences. J. Appl. Prob. 28, 715-716.
    • (1991) J. Appl. Prob. , vol.28 , pp. 715-716
    • Anderson, C.W.1    Turkman, K.F.2
  • 3
    • 84972520545 scopus 로고
    • Statistical methods for data with long range dependence
    • BERAN, J. (1992) Statistical methods for data with long range dependence. Statist. Sci. 7, 404-427.
    • (1992) Statist. Sci. , vol.7 , pp. 404-427
    • Beran, J.1
  • 4
    • 0001599683 scopus 로고
    • Limit theorems for the maximum term in stationary sequences
    • BERMAN, S. (1964) Limit theorems for the maximum term in stationary sequences. Ann. Math. Statist. 35, 502-516.
    • (1964) Ann. Math. Statist. , vol.35 , pp. 502-516
    • Berman, S.1
  • 6
    • 0000445967 scopus 로고
    • A note on the asymptotic independence of the sum and maximum of strongly mixing stationary random variables
    • HSING, T. (1995) A note on the asymptotic independence of the sum and maximum of strongly mixing stationary random variables. Ann. Prob. 23, 938-947.
    • (1995) Ann. Prob. , vol.23 , pp. 938-947
    • Hsing, T.1
  • 8
    • 21344498629 scopus 로고
    • Sums and maxima of discrete stationary processes
    • MCCORMICK, W. P. AND SUN, J. (1993) Sums and maxima of discrete stationary processes. J. Appl. Prob. 30, 863-876.
    • (1993) J. Appl. Prob. , vol.30 , pp. 863-876
    • McCormick, W.P.1    Sun, J.2
  • 9
    • 0002805896 scopus 로고
    • Limit distributions for the maximum of stationary Gaussian processes
    • MITTAL, Y. AND YLVISAKER, D. (1975) Limit distributions for the maximum of stationary Gaussian processes. Stock. Proc. Appl. 3, 1-18.
    • (1975) Stock. Proc. Appl. , vol.3 , pp. 1-18
    • Mittal, Y.1    Ylvisaker, D.2
  • 10
    • 0002230924 scopus 로고
    • Times series with strong dependence
    • Cambridge University Press, Cambridge
    • ROBINSON, P. M. (1993) Times series with strong dependence. In Advances in Econometrics: 6th World Congress. Cambridge University Press, Cambridge.
    • (1993) Advances in Econometrics: 6th World Congress
    • Robinson, P.M.1
  • 11
    • 0000609479 scopus 로고
    • Independence and dependence
    • University of California Press, Berkeley, CA
    • ROSENBLATT, M. (1961) Independence and dependence. Proc. Fourth Berkeley Symp. Math. Statist. Prob. pp. 431-443. University of California Press, Berkeley, CA.
    • (1961) Proc. Fourth Berkeley Symp. Math. Statist. Prob. , pp. 431-443
    • Rosenblatt, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.