Sharp Bounds for the Probability of the Union of Events Under Unimodality Condition
| Dublin Core | PKP Metadata Items | Metadata for this Document | |
| 1. | Title | Title of document | Sharp Bounds for the Probability of the Union of Events Under Unimodality Condition |
| 2. | Creator | Author's name, affiliation, country | Andra's Pre'kopa; United States |
| 2. | Creator | Author's name, affiliation, country | Mine Subasi; United States |
| 2. | Creator | Author's name, affiliation, country | Ersoy Subasi; United States |
| 3. | Subject | Discipline(s) | |
| 3. | Subject | Keyword(s) | Binomial moment problem, linear programming, bounding probabilities, discrete unimodality, reliability |
| 3. | Subject | Subject classification | 90C05, 90B25, 60E15 |
| 4. | Description | Abstract | Abstract. Linear programming problem is formulated for bounding the probability of the union of events, where the probability distribution of the occurrences is supposed to be unimodal with known mode and some of the binomial moments of the events are also known. Using a theorem on combinatorial determinants the dual feasible bases of a relaxed problem are fully described. The bounds for the probability of the union are presented in the form of formulas as well as the results of customized algorithmic solution of the LP’s involved. |
| 5. | Publisher | Organizing agency, location | JPAM |
| 6. | Contributor | Sponsor(s) | |
| 7. | Date | (YYYY-MM-DD) | 2008-02-25 |
| 8. | Type | Status & genre | Peer-reviewed Article |
| 8. | Type | Type | |
| 9. | Format | File format | |
| 10. | Identifier | Universal Resource Indicator | http://www.ejpam.com/index.php/ejpam/article/view/87 |
| 11. | Source | Journal/conference title; vol., no. (year) | European Journal of Pure and Applied Mathematics; Vol 1, No 1 (2008) |
| 12. | Language | English=en | en |
| 13. | Relation | Supp. Files | |
| 14. | Coverage | Geo-spatial location, chronological period, research sample (gender, age, etc.) | |
| 15. | Rights | Copyright and permissions | Upon acceptance of an article by the journal, the author(s) will be asked to transfer copyright of the article to European Journal of Pure and Applied Mathematics. The Copyright Transfer Agreement, which will be provided by the journal, should be signed by the appropriate person. The transfer of copyright does not take place until the manuscript is accepted for publication. If necessary, authors are responsible for obtaining permissions to reprint previously published figures, tables, and other material. |