Gröbner bases, abstract tubes, and inclusion-exclusion reliability bounds

IEEE Transactions on Reliability

Volumn 51, Issue 3, 2002, Pages 358-366

  Giglio, Beatrice ^a   Naiman, Daniel Q ^b   Wynn, Henry P ^a  

^a UNIVERSITY OF WARWICK   (United Kingdom)

^b JOHNS HOPKINS UNIVERSITY   (United States)

Author keywords

Abstract tubes; Gr bner bases; Reliability theory

Indexed keywords

ALGORITHMS; FAILURE ANALYSIS; LINEAR ALGEBRA; POLYNOMIALS; PROBABILITY; SET THEORY; STATISTICAL METHODS;

ABSTRACT TUBES; GROBNER BASES;

RELIABILITY THEORY;

EID: 0036734845     PISSN: 00189529     EISSN: None     Source Type: Journal    
DOI: 10.1109/TR.2002.802890     Document Type: Article

References (10)

1. An improvement of the inclusion-exclusion principle
2. Improved inclusion-exclusion identities and inequalities based on a particular class of abstract tubes
3. Gröbner bases strategies in regression
4. Inclusion-exclusion Bonferroni identities and inequalities for discrete tube-like problems via Euler characteristics
5. Abstract tubes, improved inclusion-exclusion identities and inequalities and importance sampling
6. Improved inclusion-exclusion inequalities for simplex and orthant arrangements
7. Algebraic statistics
8. Generalized counfounding with Gröbner bases