Details:
Title  Grobner bases, abstract tubes, and inclusionexclusion reliability bounds  Author(s)  Beatrice Giglio, Daniel Q. Naiman, Henry P. Wynn  Type  Article in Journal  Abstract  There is a close mathematical relationship between integer grids of a particular echelon form and coherent systems in reliability in the case of states coded as integer grid points. This paper shows that such an integer representation is the link between abstract tube theory, which gives improved inclusionexclusion bounds, and an algebraic method, Grobner bases, based on the polynomial ideal of the failure event.  Keywords  Linear algebra; Algorithms; Polynomials; Probability; Statistical methods; Set theory; Failure analysis 
Language  English  Journal  IEEE Transactions on Reliability  Volume  51  Number  3  Pages  358366  Year  2002  Month  September  Translation 
No  Refereed 
No 
