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Volumn 6, Issue 4, 2007, Pages 391-400

Application of saddlepoint approximation in reliability analysis of dynamic systems

Author keywords

Cumulant generating function; Failure probability; Reliability analysis; Saddlepoint approximation

Indexed keywords

ALGEBRA; DISTRIBUTION FUNCTIONS; FAILURE ANALYSIS; MATHEMATICAL MODELS; NUMERICAL METHODS; RANDOM PROCESSES; RELIABILITY ANALYSIS;

EID: 39349093984     PISSN: 16713664     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11803-007-0773-8     Document Type: Article
Times cited : (17)

References (32)
  • 2
    • 0032643408 scopus 로고    scopus 로고
    • A New Adaptive Importance Sampling Scheme
    • Au SK and Beck JL (1999), "A New Adaptive Importance Sampling Scheme," Structural Safety, 21: 135-158.
    • (1999) Structural Safety , vol.21 , pp. 135-158
    • Au, S.K.1    Beck, J.L.2
  • 3
    • 0035399915 scopus 로고    scopus 로고
    • First Excursion Probability for Linear Systems by Very Efficient Importance Sampling
    • 3
    • Au SK and Beck JL (2001), "First Excursion Probability for Linear Systems by Very Efficient Importance Sampling," Probabilistic Engineering Mechanics, 16(3): 193-207.
    • (2001) Probabilistic Engineering Mechanics , vol.16 , pp. 193-207
    • Au, S.K.1    Beck, J.L.2
  • 4
    • 0037378390 scopus 로고    scopus 로고
    • Importance Sampling in High Dimensions
    • 2
    • Au SK and Beck JL (2002), "Importance Sampling in High Dimensions," Structural Safety, 25(2): 139-163.
    • (2002) Structural Safety , vol.25 , pp. 139-163
    • Au, S.K.1    Beck, J.L.2
  • 5
    • 0032641046 scopus 로고    scopus 로고
    • Reliability of Uncertain Dynamical Systems with Multiple Design Points
    • Au SK, Papadimitriou C and Beck JL (1999), "Reliability of Uncertain Dynamical Systems with Multiple Design Points," Structural Safety, 21: 113-133.
    • (1999) Structural Safety , vol.21 , pp. 113-133
    • Au, S.K.1    Papadimitriou, C.2    Beck, J.L.3
  • 6
    • 0024032825 scopus 로고
    • Adaptive Sampling - An Iterative Fast Monte Carlo Procedure
    • Bucher CG (1988), "Adaptive Sampling - An Iterative Fast Monte Carlo Procedure," Structural Safety, 5: 119-126.
    • (1988) Structural Safety , vol.5 , pp. 119-126
    • Bucher, C.G.1
  • 8
    • 21644450559 scopus 로고    scopus 로고
    • Saddlepoint Approximation for Moment Generating Functions of Truncated Random Variables
    • Butler RW and Wood ATA (2004), "Saddlepoint Approximation for Moment Generating Functions of Truncated Random Variables," Annals of Statistics, 32: 2712-2730.
    • (2004) Annals of Statistics , vol.32 , pp. 2712-2730
    • Butler, R.W.1    Wood, A.T.A.2
  • 9
    • 0001367156 scopus 로고
    • Saddlepoint Approximations in Statistics
    • Daniels HE (1954), "Saddlepoint Approximations in Statistics," Annals of Mathematical Statistics, 25: 631-650.
    • (1954) Annals of Mathematical Statistics , vol.25 , pp. 631-650
    • Daniels, H.E.1
  • 11
    • 0002987950 scopus 로고    scopus 로고
    • Multiple Design Points in First and Second-order Reliability
    • Der Kiureghian A and Dakessian T (1998), "Multiple Design Points in First and Second-order Reliability," Structural Safety, 20: 37-49.
    • (1998) Structural Safety , vol.20 , pp. 37-49
    • Der Kiureghian, A.1    Dakessian, T.2
  • 12
    • 0041612563 scopus 로고
    • Statistical Semi-invariants and Their Estimates with Particular Emphasis on Their Relation to Algebraic Invariants
    • 1
    • Dressel PL (1940), "Statistical Semi-invariants and Their Estimates with Particular Emphasis on Their Relation to Algebraic Invariants," The Annals of Mathematical Statistics, 11(1): 33-57.
    • (1940) The Annals of Mathematical Statistics , vol.11 , pp. 33-57
    • Dressel, P.L.1
  • 13
  • 15
    • 0030551134 scopus 로고    scopus 로고
    • General Saddlepoint Approximations of Marginal Densities and Tail Probabilities
    • 433
    • Gatto R and Ronchetti E (1996), "General Saddlepoint Approximations of Marginal Densities and Tail Probabilities," Journal of the American Statistical Association, 91(433): 666-673.
    • (1996) Journal of the American Statistical Association , vol.91 , pp. 666-673
    • Gatto, R.1    Ronchetti, E.2
  • 16
    • 0033409355 scopus 로고    scopus 로고
    • Explaining the Saddlepoint Approximation
    • 3
    • Goutis C and Casella G (1999), "Explaining the Saddlepoint Approximation," American Statistician, 53(3): 216-224.
    • (1999) American Statistician , vol.53 , pp. 216-224
    • Goutis, C.1    Casella, G.2
  • 18
    • 0024144502 scopus 로고
    • Improvement of Second-order Reliability Estimates by Importance Sampling
    • 12
    • Hohenbichler M and Rackwitz R (1988), "Improvement of Second-order Reliability Estimates by Importance Sampling," Journal of Engineering Mechanics, 114(12): 2195-2198.
    • (1988) Journal of Engineering Mechanics , vol.114 , pp. 2195-2198
    • Hohenbichler, M.1    Rackwitz, R.2
  • 19
    • 33645789540 scopus 로고    scopus 로고
    • Uncertainty Analysis by Dimension Reduction Integration and Saddlepoint Approximations
    • 1
    • Huang B and Du X (2006), "Uncertainty Analysis by Dimension Reduction Integration and Saddlepoint Approximations," ASME Journal of Mechanical Design, 128(1): 26-33.
    • (2006) ASME Journal of Mechanical Design , vol.128 , pp. 26-33
    • Huang, B.1    Du, X.2
  • 21
    • 0033418928 scopus 로고    scopus 로고
    • Practical Saddlepoint Approximations
    • 3
    • Huzurbazar S (1999), "Practical Saddlepoint Approximations," American Statistician, 53(3): 225-232.
    • (1999) American Statistician , vol.53 , pp. 225-232
    • Huzurbazar, S.1
  • 24
    • 0000660352 scopus 로고
    • Saddlpoint Approximation for the Distribution of the Sum of Independent Random Variables
    • Lugannani R and Rice SO (1980), "Saddlpoint Approximation for the Distribution of the Sum of Independent Random Variables," Advances in Applied Probability, 12: 475-490.
    • (1980) Advances in Applied Probability , vol.12 , pp. 475-490
    • Lugannani, R.1    Rice, S.O.2
  • 25
    • 0024699077 scopus 로고
    • Importance Sampling in Structural Systems
    • Melchers RE (1989), "Importance Sampling in Structural Systems," Structural Safety, 6: 3-10.
    • (1989) Structural Safety , vol.6 , pp. 3-10
    • Melchers, R.E.1
  • 27
    • 0002995576 scopus 로고    scopus 로고
    • Asymptotic Expansions for Reliabilities and Moments of Uncertain Dynamic Systems
    • 12
    • Papadimitrious C, Beck JL, and Katafygiotis LS (1997), "Asymptotic Expansions for Reliabilities and Moments of Uncertain Dynamic Systems," Journal of Engineering Mechanics, 123(12): 1219-1229.
    • (1997) Journal of Engineering Mechanics , vol.123 , pp. 1219-1229
    • Papadimitrious, C.1    Beck, J.L.2    Katafygiotis, L.S.3
  • 28
    • 84972528712 scopus 로고
    • Saddlepoint Methods and Statistical Inference
    • Reid N (1988), "Saddlepoint Methods and Statistical Inference," Statistical Science, 3: 213-227.
    • (1988) Statistical Science , vol.3 , pp. 213-227
    • Reid, N.1
  • 30
    • 0023401249 scopus 로고
    • A Critical Appraisal of Methods to Determine Failure Probabilities
    • Schuëller GI and Stix RA (1987), "A Critical Appraisal of Methods to Determine Failure Probabilities," Structural Safety, 4: 293-309.
    • (1987) Structural Safety , vol.4 , pp. 293-309
    • Schuëller, G.I.1    Stix, R.A.2
  • 31
    • 85072467598 scopus 로고    scopus 로고
    • Probabilistic sensitivity analysis in engineering design using uniform sampling and saddlepoint approximation
    • Paper No. 2005-01-0344
    • Sudjianto A, Du X and Chen W (2005), "Probabilistic Sensitivity Analysis in Engineering Design Using Uniform Sampling and Saddlepoint Approximation," SAE 2005 Transactions Journal of Passenger Cars: Mechanical Systems, Paper No. 2005-01-0344.
    • (2005) SAE 2005 Transactions Journal of Passenger Cars: Mechanical Systems
    • Sudjianto, A.1    Du, X.2    Chen, W.3
  • 32
    • 10844273111 scopus 로고    scopus 로고
    • An Efficient Simulation Method for Reliability Analysis Using Simple Additive Rules of Probability
    • 1
    • Yuen KV and Katafygiotis LS (2005), "An Efficient Simulation Method for Reliability Analysis Using Simple Additive Rules of Probability," Probabilistic Engineering Mechanics, 20(1): 109-114.
    • (2005) Probabilistic Engineering Mechanics , vol.20 , pp. 109-114
    • Yuen, K.V.1    Katafygiotis, L.S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.