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Multivariate Records Based on Dominance


 
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1. Title Title of document Multivariate Records Based on Dominance
 
2. Creator Author's name, affiliation, country Hsien-Kuei Hwang; Academia Sinica Taipei; Taiwan, Province of China
 
2. Creator Author's name, affiliation, country Tsung-Hsi Tsai; Academia Sinica Taipei; Taiwan, Province of China
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Multivariate records, Pareto optimality, central limit theorems, Berry-Esseen bound, partial orders, dominance
 
3. Subject Subject classification 60C05 60F05 60G70
 
4. Description Abstract We consider three types of multivariate records in this paper and derive the mean and the variance of their numbers for independent and uniform random samples from two prototype regions: hypercubes $[0,1]^d$ and d-dimensional simplex. Central limit theorems with convergence rates are established when the variance tends to infinity. Effective numerical procedures are also provided for computing the variance constants to high degree of precision.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) National Science Council of Taiwan
 
7. Date (YYYY-MM-DD) 2010-11-16
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ejp.ejpecp.org/article/view/825
 
10. Identifier Digital Object Identifier 10.1214/EJP.v15-825
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 15
 
12. Language English=en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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