Dispersive orderings and characterization of ageing classes
β Scribed by F. Belzunce; J. Candel; J.M. Ruiz
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 440 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0167-7152
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Partial orderings are used to compare ageing behaviour of components or systems. In this paper a new partial ordering, namely the renewal superadditivity, is introduced. This concept is used to characterise the new better than renewal used criterion of ageing. The dual criterion the new worse than r
We show that the minimum set of unordered graphs that must be forbidden to get the same graph class characterized by forbidding a single ordered graph is infinite.
Characterizations of the dispersive order in terms of the Laplace transform are derived from a relation between the dispersive and star orders and recent results of Bartoszewicz (1998). Inequalities for the Laplace transforms of distributions and hazard rate functions are obtained as corollaries. (~