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Volumn 56, Issue 2, 1996, Pages 284-302

Extreme value asymptotics for multivariate renewal processes

Author keywords

Extreme value asymptotics; Invariance principle; Multidimensional Wiener process; Multivariate renewal process; Rayleigh process; Stationary Gaussian process; Strong approximation

Indexed keywords


EID: 0030077796     PISSN: 0047259X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmva.1996.0015     Document Type: Article
Times cited : (14)

References (18)
  • 1
    • 0002014587 scopus 로고
    • On extremal theory for stationary processes
    • [1] ALBIN, J. M. P. (1990). On extremal theory for stationary processes. Ann. Probab. 18 92-128.
    • (1990) Ann. Probab. , vol.18 , pp. 92-128
    • Albin, J.M.P.1
  • 3
    • 0011497174 scopus 로고
    • An invariance principle in k-dimensional extended renewal theory
    • [3] CSENKI, A. (1979). An invariance principle in k-dimensional extended renewal theory. J. Appl. Probab. 16 567-574.
    • (1979) J. Appl. Probab. , vol.16 , pp. 567-574
    • Csenki, A.1
  • 5
    • 0000986291 scopus 로고
    • Invariance principles for changepoint problems
    • [5] M. CSÖRGO AND HORVÁTH, L. (1988). Invariance principles for changepoint problems. J. Multivariate Anal. 27 151-168.
    • (1988) J. Multivariate Anal. , vol.27 , pp. 151-168
    • Csörgo, M.1    Horváth, L.2
  • 8
    • 84972343596 scopus 로고
    • Some recent developments concerning asymptotic distributions of pontograms
    • [8] EASTWOOD, V. R. (1990). Some recent developments concerning asymptotic distributions of pontograms. Math. Proc. Cambridge Philos. Soc. 108 559-567.
    • (1990) Math. Proc. Cambridge Philos. Soc. , vol.108 , pp. 559-567
    • Eastwood, V.R.1
  • 9
    • 0001422577 scopus 로고
    • Strong invariance principles for partial sums of independent random vectors
    • [9] EINMAHL, U. (1987). Strong invariance principles for partial sums of independent random vectors. Ann. Probab. 15 1419-1440.
    • (1987) Ann. Probab. , vol.15 , pp. 1419-1440
    • Einmahl, U.1
  • 10
    • 0002431534 scopus 로고
    • Extensions of results of Komlós, Major, and Tusnády to the multivariate case
    • [10] EINMAHL, U. (1989). Extensions of results of Komlós, Major, and Tusnády to the multivariate case. J Multivariate Anal. 28 20-68.
    • (1989) J Multivariate Anal. , vol.28 , pp. 20-68
    • Einmahl, U.1
  • 11
    • 21144464515 scopus 로고
    • The maximum likelihood method for testing changes in the parameters of normal observations
    • [11] HORVÁTH, L. (1993). The maximum likelihood method for testing changes in the parameters of normal observations. Ann. Statist. 21 671-680.
    • (1993) Ann. Statist. , vol.21 , pp. 671-680
    • Horváth, L.1
  • 12
    • 0011457110 scopus 로고
    • Alignments in two-dimensional random sets of points
    • [12] KENDALL, D. G. AND KENDALL, W. S. (1980). Alignments in two-dimensional random sets of points. Adv. Appl. Probab. 12 380-424.
    • (1980) Adv. Appl. Probab. , vol.12 , pp. 380-424
    • Kendall, D.G.1    Kendall, W.S.2
  • 13
    • 0001577408 scopus 로고
    • 2-processes and other functions of multidimensional Gaussian processes, with reliability applications
    • 2-processes and other functions of multidimensional Gaussian processes, with reliability applications. Ada. Appl. Probab. 12 746-774.
    • (1980) Adv. Appl. Probab. , vol.12 , pp. 746-774
    • Lindgren, G.1
  • 14
    • 0002289349 scopus 로고
    • Upcrossing probabilities for stationary Gaussian processes
    • [14] PICKANDS, J., III (1969). Upcrossing probabilities for stationary Gaussian processes. Trans. Amer. Math. Soc. 145 51-73.
    • (1969) Trans. Amer. Math. Soc. , vol.145 , pp. 51-73
    • Pickands J. III1
  • 15
    • 38249026812 scopus 로고
    • Invariance principles for renewal processes when only moments of low order exist
    • [15] STEINEBACH, J. (1988). Invariance principles for renewal processes when only moments of low order exist. J. Multivariate Anal. 26 169-183.
    • (1988) J. Multivariate Anal. , vol.26 , pp. 169-183
    • Steinebach, J.1
  • 17
    • 21844500637 scopus 로고
    • Variance estimation based on invariance principles
    • [17] STEINEBACH, J. (1995). Variance estimation based on invariance principles. Statistics 27 15-25.
    • (1995) Statistics , vol.27 , pp. 15-25
    • Steinebach, J.1
  • 18
    • 0000431901 scopus 로고
    • On extreme value asymptotics for increments of renewal processes
    • [18] STEINEBACH, J. AND EASTWOOD, V. R. (1995). On extreme value asymptotics for increments of renewal processes. J. Statist. Planning Inference 45 301-312.
    • (1995) J. Statist. Planning Inference , vol.45 , pp. 301-312
    • Steinebach, J.1    Eastwood, V.R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.