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Volumn 14, Issue 3, 2003, Pages 153-174

Alexander duality and moments in reliability modelling

Author keywords

Alexander dual; Hilbert series; Moments; Monomial ideals; Reliability; Scarf complex

Indexed keywords

BOUNDARY CONDITIONS; GRAPH THEORY; MATHEMATICAL MODELS; POLYNOMIALS; PROBABILITY DISTRIBUTIONS; SET THEORY; VECTORS;

EID: 0344924999     PISSN: 09381279     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00200-002-0115-z     Document Type: Article
Times cited : (2)

References (14)
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    • Dohmen, K.: Improved inclusion-exclusion identities and Inequalities based on a particular class of abstract tubes. Electr. J. Probab. 4(5), 12 (electronic), (1999b)
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    • Dohmen, K.1
  • 4
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    • Improved inclusion-exclusion identities and Bonferroni inequalities with applications to reliability analysis of coherent systems
    • Habilitationsschrift, University of Humboldt, Berlin
    • Dohmen, K.: Improved Inclusion-Exclusion Identities and Bonferroni Inequalities with Applications to Reliability Analysis of Coherent Systems. Habilitationsschrift, University of Humboldt, Berlin, 2000
    • (2000)
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  • 5
    • 0004280284 scopus 로고    scopus 로고
    • An introduction to Gröbner bases
    • New York: Wiley
    • Fröberg, R.: An introduction to Gröbner Bases. New York: Wiley, 1997
    • (1997)
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  • 6
    • 0344723730 scopus 로고    scopus 로고
    • Abstract tube theory and Gröbner bases for improved inclusion-exclusion reliability bounds
    • In Laboratoire Statistique Mathématique et ses Applications, editor; Bordeaux; Univérsité Victor Segalen, Bordeaux 2
    • Giglio, B., Naiman, D., Wynn, H. P.: Abstract tube theory and Gröbner bases for improved inclusion-exclusion reliability bounds. In Laboratoire Statistique Mathématique et ses Applications, editor, MMR'2000 - Second International Conference on Mathematical Methods in Reliability, Bordeaux, volume 1, pp. 451-454, Bordeaux, 2000. Univérsité Victor Segalen, Bordeaux 2
    • (2000) MMR'2000 - Second International Conference on Mathematical Methods in Reliability, Bordeaux , vol.1 , pp. 451-454
    • Giglio, B.1    Naiman, D.2    Wynn, H.P.3
  • 7
    • 0036734845 scopus 로고    scopus 로고
    • Gröbner bases, abstract tubes, and inclusion-exclusion reliability bounds
    • Giglio, B.; Naiman, D. Q., Wynn, H. P.: Gröbner bases, abstract tubes, and inclusion-exclusion reliability bounds. IEEE Transactions on Reliability, 51(3), 358-366 (2002)
    • (2002) IEEE Transactions on Reliability , vol.51 , Issue.3 , pp. 358-366
    • Giglio, B.1    Naiman, D.Q.2    Wynn, H.P.3
  • 8
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    • Monomial ideals and the scarf complex for coherent systems in reliability theory
    • (To appear in Ann. Statis.)
    • Giglio, B., Wynn, H. P.: Monomial Ideals and the Scarf Complex for Coherent Systems in Reliability Theory. (To appear in Ann. Statis. 2004)
    • (2004)
    • Giglio, B.1    Wynn, H.P.2
  • 9
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    • The Alexander duality functors and local duality with monomial support
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  • 10
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    • Resolutions of monomial ideals
    • PhD thesis, University of California at Berkeley
    • Miller, E.: Resolutions of monomial ideals. PhD thesis, University of California at Berkeley, 2000
    • (2000)
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  • 12
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    • Improved inclusion-exclusion inequalities for simplex and orthant arrangements
    • Naiman, D., Wynn, H. P.: Improved inclusion-exclusion inequalities for simplex and orthant arrangements. J. Inequal. Pure. App. Math. 2, 16 (2001)
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.