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Edgeworth Expansions for a Sample Sum from a Finite Set of Independent Random Variables


 
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1. Title Title of document Edgeworth Expansions for a Sample Sum from a Finite Set of Independent Random Variables
 
2. Creator Author's name, affiliation, country Zhishui Hu; University of Science and Technology of China
 
2. Creator Author's name, affiliation, country John Robinson; The University of Sydney
 
2. Creator Author's name, affiliation, country Qiying Wang; The University of Sydney
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Edgeworth expansion, finite population, sampling without replacement.
 
3. Subject Subject classification Primary 60F05; 60 F15; Secondary 62E20
 
4. Description Abstract Let $\{X_1,\cdots ,X_N\}$ be a set of $N$ independent random variables, and let $S_n$ be a sum of $n$ random variables chosen without replacement from the set $\{X_1, \cdots , X_N\}$ with equal probabilities. In this paper we give a one-term Edgeworth expansion of the remainder term for the normal approximation of $S_n$ under mild conditions.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2007-11-04
 
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/447
 
10. Identifier Digital Object Identifier 10.1214/EJP.v12-447
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 12
 
12. Language English=en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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