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Volumn 116, Issue 12, 2006, Pages 1977-1991

On asymptotic distribution of maxima of complete and incomplete samples from stationary sequences

Author keywords

Extreme values; Missing observations; Stationary sequences; Storage process; Weak dependency

Indexed keywords

ASYMPTOTIC STABILITY; BROWNIAN MOVEMENT; DISCRETE TIME CONTROL SYSTEMS; VECTORS;

EID: 33750611486     PISSN: 03044149     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.spa.2006.05.009     Document Type: Article
Times cited : (37)

References (12)
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    • Albin J.M.P., and Samorodnitsky G. On overload in a storage model, with a self-similar and infinitely divisible input. Ann. Appl. Probab. 14 (2004) 820-844
    • (2004) Ann. Appl. Probab. , vol.14 , pp. 820-844
    • Albin, J.M.P.1    Samorodnitsky, G.2
  • 2
    • 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
  • 3
    • 33750625017 scopus 로고    scopus 로고
    • L. de Haan, On Regular Variation and its Application to the Weak Convergence of Sample Extremes, in: Mathematical Centre Tracts, vol. 32, Amsterdam, 1970
  • 4
    • 8544219756 scopus 로고    scopus 로고
    • Limit theorem for maximum of the storage process with fractional Brownian motion as input
    • Hüsler J., and Piterbarg V. Limit theorem for maximum of the storage process with fractional Brownian motion as input. Stochastic. Proc. Appl. 114 (2004) 231-250
    • (2004) Stochastic. Proc. Appl. , vol.114 , pp. 231-250
    • Hüsler, J.1    Piterbarg, V.2
  • 5
    • 0010141301 scopus 로고
    • Extreme values in uniformly mixing stationary stochastic processes
    • Loynes R.M. Extreme values in uniformly mixing stationary stochastic processes. Ann. Math. Statist. 36 (1965) 993-999
    • (1965) Ann. Math. Statist. , vol.36 , pp. 993-999
    • Loynes, R.M.1
  • 6
    • 0001587862 scopus 로고
    • On extreme values in stationary sequences
    • Leadbetter M.R. On extreme values in stationary sequences. Z. Wahrsch. verw. Gebiete. 28 (1974) 289-303
    • (1974) Z. Wahrsch. verw. Gebiete. , vol.28 , pp. 289-303
    • Leadbetter, M.R.1
  • 9
    • 33750611231 scopus 로고    scopus 로고
    • V.I. Piterbarg, Asymptotic Methods in the Theory of Gaussian Processes and Fields, in: AMS Translations of Mathematical Monographs, vol. 148, Providence, Rhode Island, 1996
  • 10
    • 8544278050 scopus 로고    scopus 로고
    • Large deviations of a storage process with fractional Brownian motion as input
    • Piterbarg V.I. Large deviations of a storage process with fractional Brownian motion as input. Extremes 4 2 (2001) 147-164
    • (2001) Extremes , vol.4 , Issue.2 , pp. 147-164
    • Piterbarg, V.I.1
  • 11
    • 29144459822 scopus 로고    scopus 로고
    • Discrete and continuous time extremes of Gaussian processes
    • Piterbarg V.I. Discrete and continuous time extremes of Gaussian processes. Extremes 7 (2004) 161-177
    • (2004) Extremes , vol.7 , pp. 161-177
    • Piterbarg, V.I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.