Journal article
On the probability of union in the n-space
Operations research letters, v 45(1)
Jan 2017
Featured in Collection : UN Sustainable Development Goals @ Drexel
Abstract
In this paper, our sets are orthants in Rn and N, the number of them, is large (N>n). We introduce the modified inclusion–exclusion formula in order to efficiently calculate the probability of a union of such events. The new formula works in the bivariate case, and can also be used in Rn,n≥3 with a condition on the projected sets onto lower dimensional spaces. Numerical examples are presented.
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Details
- Title
- On the probability of union in the n-space
- Creators
- Jinwook Lee - Decision Sciences and MIS, LeBow College of Business, Drexel University, Philadelphia, PA 19104, United StatesAndrás Prékopa - Rutgers, The State University of New Jersey
- Publication Details
- Operations research letters, v 45(1)
- Publisher
- Elsevier
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Decision Sciences (and Management Information Systems)
- Web of Science ID
- WOS:000393534400004
- Scopus ID
- 2-s2.0-84997283785
- Other Identifier
- 991019168028904721
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- Collaboration types
- Domestic collaboration
- Web of Science research areas
- Operations Research & Management Science