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Volumn 92, Issue 12, 2007, Pages 1651-1658

Gamma processes and peaks-over-threshold distributions for time-dependent reliability

Author keywords

Deterioration; Gamma process; Kac functional equation; Load; Peaks over threshold distribution; Poisson process

Indexed keywords

GAMMA DISTRIBUTION; GAMMA PROCESSES; KAC FUNCTIONAL EQUATION; PEAKS OVER THRESHOLD DISTRIBUTIONS; TIME-DEPENDENT RELIABILITY;

EID: 34447638363     PISSN: 09518320     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ress.2006.11.003     Document Type: Article
Times cited : (234)

References (29)
  • 1
    • 0016520584 scopus 로고
    • A gamma wear process
    • Abdel-Hameed M. A gamma wear process. IEEE Trans Reliab 24 2 (1975) 152-153
    • (1975) IEEE Trans Reliab , vol.24 , Issue.2 , pp. 152-153
    • Abdel-Hameed, M.1
  • 2
    • 0002276858 scopus 로고
    • The two-dimensional Poisson process and extremal processes
    • Pickands III J. The two-dimensional Poisson process and extremal processes. J Appl Probab 8 4 (1971) 745-756
    • (1971) J Appl Probab , vol.8 , Issue.4 , pp. 745-756
    • Pickands III, J.1
  • 3
    • 0000583214 scopus 로고
    • Extremes and local dependence in stationary sequences
    • Leadbetter M.R. Extremes and local dependence in stationary sequences. Z Wahrscheinlichkeitstheorie Verw Geb 65 (1983) 291-306
    • (1983) Z Wahrscheinlichkeitstheorie Verw Geb , vol.65 , pp. 291-306
    • Leadbetter, M.R.1
  • 4
    • 0001075431 scopus 로고
    • Statistical inference using extreme order statistics
    • Pickands III J. Statistical inference using extreme order statistics. Ann Stat 3 1 (1975) 119-131
    • (1975) Ann Stat , vol.3 , Issue.1 , pp. 119-131
    • Pickands III, J.1
  • 5
    • 0003040223 scopus 로고
    • Fighting the arch-enemy with mathematics
    • de Haan L. Fighting the arch-enemy with mathematics. Stat Neerl 44 2 (1990) 45-68
    • (1990) Stat Neerl , vol.44 , Issue.2 , pp. 45-68
    • de Haan, L.1
  • 6
    • 0028384498 scopus 로고
    • Maintaining: reliability of concrete structures. I: role of inspection/repair
    • Mori Y., and Ellingwood B.R. Maintaining: reliability of concrete structures. I: role of inspection/repair. J Struct Eng 120 3 (1994) 824-845
    • (1994) J Struct Eng , vol.120 , Issue.3 , pp. 824-845
    • Mori, Y.1    Ellingwood, B.R.2
  • 8
    • 0002655215 scopus 로고    scopus 로고
    • Optimal maintenance decisions for the sea-bed protection of the Eastern-Scheldt barrier
    • Cooke R., Mendel M., and Vrijling H. (Eds), Kluwer Academic Publishers, Dordrecht
    • van Noortwijk J.M., Kok M., and Cooke R.M. Optimal maintenance decisions for the sea-bed protection of the Eastern-Scheldt barrier. In: Cooke R., Mendel M., and Vrijling H. (Eds). Engineering probabilistic design and maintenance for flood protection (1997), Kluwer Academic Publishers, Dordrecht 25-56
    • (1997) Engineering probabilistic design and maintenance for flood protection , pp. 25-56
    • van Noortwijk, J.M.1    Kok, M.2    Cooke, R.M.3
  • 9
    • 84971942395 scopus 로고
    • Risk theory with the gamma process
    • Dufresne F., Gerber H.U., and Shiu E.S.W. Risk theory with the gamma process. ASTIN Bull 21 2 (1991) 177-192
    • (1991) ASTIN Bull , vol.21 , Issue.2 , pp. 177-192
    • Dufresne, F.1    Gerber, H.U.2    Shiu, E.S.W.3
  • 10
    • 0001411887 scopus 로고
    • A representation of independent increment processes without Gaussian components
    • Ferguson T.S., and Klass M.J. A representation of independent increment processes without Gaussian components. Ann Math Stat 43 5 (1972) 1634-1643
    • (1972) Ann Math Stat , vol.43 , Issue.5 , pp. 1634-1643
    • Ferguson, T.S.1    Klass, M.J.2
  • 11
    • 0041568787 scopus 로고    scopus 로고
    • Gamma processes and their generalizations: an overview
    • Cooke R., Mendel M., and Vrijling H. (Eds), Kluwer Academic Publishers, Dordrecht
    • Singpurwalla N. Gamma processes and their generalizations: an overview. In: Cooke R., Mendel M., and Vrijling H. (Eds). Engineering probabilistic design and maintenance for flood protection (1997), Kluwer Academic Publishers, Dordrecht 67-75
    • (1997) Engineering probabilistic design and maintenance for flood protection , pp. 67-75
    • Singpurwalla, N.1
  • 13
    • 0005294986 scopus 로고
    • A reliability model based on the gamma process and its analytic theory
    • Wenocur M.L. A reliability model based on the gamma process and its analytic theory. Adv Appl Probab 21 4 (1989) 899-918
    • (1989) Adv Appl Probab , vol.21 , Issue.4 , pp. 899-918
    • Wenocur, M.L.1
  • 14
    • 0039147852 scopus 로고
    • Algorithm AS 187: derivatives of the incomplete gamma integral
    • Moore R.J. Algorithm AS 187: derivatives of the incomplete gamma integral. Appl Stat 31 3 (1982) 330-335
    • (1982) Appl Stat , vol.31 , Issue.3 , pp. 330-335
    • Moore, R.J.1
  • 15
    • 38248999591 scopus 로고
    • Probabilistic methods for condition assessment and life prediction of concrete structures in nuclear power plants
    • Ellingwood B.R., and Mori Y. Probabilistic methods for condition assessment and life prediction of concrete structures in nuclear power plants. Nucl Eng Des 142 2-3 (1993) 155-166
    • (1993) Nucl Eng Des , vol.142 , Issue.2-3 , pp. 155-166
    • Ellingwood, B.R.1    Mori, Y.2
  • 16
    • 0029287773 scopus 로고
    • A Bayesian failure model based on isotropic deterioration
    • van Noortwijk J.M., Cooke R.M., and Kok M. A Bayesian failure model based on isotropic deterioration. Eur J Oper Res 82 2 (1995) 270-282
    • (1995) Eur J Oper Res , vol.82 , Issue.2 , pp. 270-282
    • van Noortwijk, J.M.1    Cooke, R.M.2    Kok, M.3
  • 19
    • 0030454344 scopus 로고    scopus 로고
    • Optimal maintenance decisions for berm breakwaters
    • van Noortwijk J.M., and van Gelder P.H.A.J.M. Optimal maintenance decisions for berm breakwaters. Struct Safety 18 4 (1996) 293-309
    • (1996) Struct Safety , vol.18 , Issue.4 , pp. 293-309
    • van Noortwijk, J.M.1    van Gelder, P.H.A.J.M.2
  • 20
    • 84995069461 scopus 로고
    • Statistics of extremes in climatology
    • Buishand T.A. Statistics of extremes in climatology. Stat Neerl 43 1 (1989) 1-30
    • (1989) Stat Neerl , vol.43 , Issue.1 , pp. 1-30
    • Buishand, T.A.1
  • 21
    • 0027578459 scopus 로고
    • Time-dependent system reliability analysis by adaptive importance sampling
    • Mori Y., and Ellingwood B.R. Time-dependent system reliability analysis by adaptive importance sampling. Struct Safety 12 1 (1993) 59-73
    • (1993) Struct Safety , vol.12 , Issue.1 , pp. 59-73
    • Mori, Y.1    Ellingwood, B.R.2
  • 22
    • 0032686409 scopus 로고    scopus 로고
    • Optimal inspection decisions for the block mats of the Eastern-Scheldt barrier
    • van Noortwijk J.M., and Klatter H.E. Optimal inspection decisions for the block mats of the Eastern-Scheldt barrier. Reliab Eng Syst Safety 65 3 (1999) 203-211
    • (1999) Reliab Eng Syst Safety , vol.65 , Issue.3 , pp. 203-211
    • van Noortwijk, J.M.1    Klatter, H.E.2
  • 23
    • 0038141813 scopus 로고    scopus 로고
    • Sequential condition-based maintenance scheduling for a deteriorating system
    • Dieulle L., Bérenguer C., Grall A., and Roussignol M. Sequential condition-based maintenance scheduling for a deteriorating system. Eur J Oper Res 150 2 (2003) 451-461
    • (2003) Eur J Oper Res , vol.150 , Issue.2 , pp. 451-461
    • Dieulle, L.1    Bérenguer, C.2    Grall, A.3    Roussignol, M.4
  • 24
    • 0036565786 scopus 로고    scopus 로고
    • A condition-based maintenance policy for stochastically deteriorating systems
    • Grall A., Bérenguer C., and Dieulle L. A condition-based maintenance policy for stochastically deteriorating systems. Reliab Eng Sys Safety 76 2 (2002) 167-180
    • (2002) Reliab Eng Sys Safety , vol.76 , Issue.2 , pp. 167-180
    • Grall, A.1    Bérenguer, C.2    Dieulle, L.3
  • 25
    • 0036599902 scopus 로고    scopus 로고
    • Continuous-time predictive-maintenance scheduling for a deteriorating system
    • Grall A., Dieulle L., Bérenguer C., and Roussignol M. Continuous-time predictive-maintenance scheduling for a deteriorating system. IEEE Trans Reliab 51 2 (2002) 141-150
    • (2002) IEEE Trans Reliab , vol.51 , Issue.2 , pp. 141-150
    • Grall, A.1    Dieulle, L.2    Bérenguer, C.3    Roussignol, M.4
  • 26
    • 0023994581 scopus 로고
    • Optimal continuous-wear limit replacement under periodic inspections
    • Park K.S. Optimal continuous-wear limit replacement under periodic inspections. IEEE Trans Reliab 37 1 (1988) 97-102
    • (1988) IEEE Trans Reliab , vol.37 , Issue.1 , pp. 97-102
    • Park, K.S.1
  • 27
    • 0042123080 scopus 로고    scopus 로고
    • Conditional maximal distributions of processes related to higher-order heat-type equations
    • Beghin L., Hochberg K.J., and Orsingher E. Conditional maximal distributions of processes related to higher-order heat-type equations. Stochastic Processes Appl 85 2 (2000) 209-223
    • (2000) Stochastic Processes Appl , vol.85 , Issue.2 , pp. 209-223
    • Beghin, L.1    Hochberg, K.J.2    Orsingher, E.3
  • 28
    • 34447632464 scopus 로고    scopus 로고
    • Philippart ME, Dillingh D, Pwa ST. De basispeilen langs de Nederlandse kust; de ruimtelijke verdeling en overschrijdingslijnen [The base levels along the Dutch coast; the spatial distribution and exceedance curves]. Technical Report RIKZ-95.008, Ministry of Transport, Public Works and Water Management, The Hague, The Netherlands; 1995.
  • 29
    • 0000694956 scopus 로고
    • Economic decision problems for flood prevention
    • van Dantzig D. Economic decision problems for flood prevention. Econometrica 24 3 (1956) 276-287
    • (1956) Econometrica , vol.24 , Issue.3 , pp. 276-287
    • van Dantzig, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.