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Volumn 15, Issue 4, 2013, Pages 969-985

Computation of the Distribution of the Maximum of Stationary Gaussian Processes

Author keywords

Distribution of the maximum; Gaussian processes; Gaussian vector; Quasi Monte Carlo integration; Time series

Indexed keywords


EID: 84885864246     PISSN: 13875841     EISSN: 15737713     Source Type: Journal    
DOI: 10.1007/s11009-012-9293-8     Document Type: Article
Times cited : (8)

References (24)
  • 3
    • 44449122948 scopus 로고    scopus 로고
    • A general formula for the distribution of the maximum of a Gaussian field and the approximation of the tail
    • Azaïs J-M, Wschebor M (2008) A general formula for the distribution of the maximum of a Gaussian field and the approximation of the tail. Stoch Process Their Appl 118/7: 1190-1218.
    • (2008) Stoch Process Their Appl , vol.117-118 , pp. 1190-1218
    • Azaïs, J.-M.1    Wschebor, M.2
  • 5
    • 33747596627 scopus 로고    scopus 로고
    • Evaluating nearly singular multinormal expectations with applications to wave distributions
    • Brodtkorb PA (2006) Evaluating nearly singular multinormal expectations with applications to wave distributions. Methodol Comput Appl Probab 8: 65-91.
    • (2006) Methodol Comput Appl Probab , vol.8 , pp. 65-91
    • Brodtkorb, P.A.1
  • 7
    • 84963160141 scopus 로고
    • Crossing probabilities for a square root boundary by a Bessel process
    • DeLong DM (1981) Crossing probabilities for a square root boundary by a Bessel process. Commun Stat Theory Methods A10: 2197-2213.
    • (1981) Commun Stat Theory Methods A , vol.10 , pp. 2197-2213
    • DeLong, D.M.1
  • 8
    • 0003331047 scopus 로고    scopus 로고
    • Sequences, discrepancies and applications
    • New York: Springer
    • Drmota M, Tichy RF (1997) Sequences, discrepancies and applications. In: Lecture notes in mathematics, vol 1651. Springer, New York.
    • (1997) Lecture Notes in Mathematics , vol.1651
    • Drmota, M.1    Tichy, R.F.2
  • 9
    • 0000541612 scopus 로고    scopus 로고
    • The length heuristic for simultaneous hypothesis tests
    • Efron B (1997) The length heuristic for simultaneous hypothesis tests. Biometrika 84(1): 143-157.
    • (1997) Biometrika , vol.84 , Issue.1 , pp. 143-157
    • Efron, B.1
  • 10
    • 0000950107 scopus 로고
    • The ten year cycle in numbers of Canadian lynx
    • Elton C, Nicholson M (1942) The ten year cycle in numbers of Canadian lynx. J Anim Ecol 11: 215-244.
    • (1942) J Anim Ecol , vol.11 , pp. 215-244
    • Elton, C.1    Nicholson, M.2
  • 14
    • 0001341675 scopus 로고
    • Numerical computation of multivariate normal probabilities
    • Genz A (1992) Numerical computation of multivariate normal probabilities. J Comput Graph Stat 1: 141-150.
    • (1992) J Comput Graph Stat , vol.1 , pp. 141-150
    • Genz, A.1
  • 16
    • 0034348265 scopus 로고    scopus 로고
    • Numerical evaluation of singular multivariate normal probabilities
    • Genz A, Kwong K-S (2000) Numerical evaluation of singular multivariate normal probabilities. J Stat Comput Simul 68: 1-21.
    • (2000) J Stat Comput Simul , vol.68 , pp. 1-21
    • Genz, A.1    Kwong, K.-S.2
  • 17
    • 0004236492 scopus 로고    scopus 로고
    • 3rd edn., Baltimore: Johns Hopkins University Press
    • Golub G, van Loan CF (1996) Matrix computations, 3rd edn. Johns Hopkins University Press, Baltimore.
    • (1996) Matrix Computations
    • Golub, G.1    van Loan, C.F.2
  • 19
    • 33646101013 scopus 로고    scopus 로고
    • Numerical bounds for the distribution of the maximum of some one- and two-parameter Gaussian processes
    • Mercadier C (2006) Numerical bounds for the distribution of the maximum of some one- and two-parameter Gaussian processes. Adv Appl Probab 38: 149-170.
    • (2006) Adv Appl Probab , vol.38 , pp. 149-170
    • Mercadier, C.1
  • 20
    • 33646385879 scopus 로고    scopus 로고
    • Fast algorithms for component-by-component construction of rank-1 lattice rules in shift-invariant reproducing kernel Hilbert spaces
    • Nuyens D, Cools R (2006) Fast algorithms for component-by-component construction of rank-1 lattice rules in shift-invariant reproducing kernel Hilbert spaces. Math Comput 75: 903-920.
    • (2006) Math Comput , vol.75 , pp. 903-920
    • Nuyens, D.1    Cools, R.2
  • 21
    • 44449177185 scopus 로고
    • New bounds for the first passage, wavelength and amplitude density
    • Rychlik I (1990) New bounds for the first passage, wavelength and amplitude density. Stoch Proc Appl 34: 313-339.
    • (1990) Stoch Proc Appl , vol.34 , pp. 313-339
    • Rychlik, I.1
  • 22
    • 0004454158 scopus 로고
    • Testing for a signal with unknown location and scale in a stationary Gaussian random field
    • Siegmund DO, Worsley KJ (1995) Testing for a signal with unknown location and scale in a stationary Gaussian random field. Ann Stat 23: 608-639.
    • (1995) Ann Stat , vol.23 , pp. 608-639
    • Siegmund, D.O.1    Worsley, K.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.