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Rates ofconvergence for minimal distances in the central limit theorem underprojective criteria


 
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1. Title Title of document Rates ofconvergence for minimal distances in the central limit theorem underprojective criteria
 
2. Creator Author's name, affiliation, country Jérôme Dedecker; Université Paris 6
 
2. Creator Author's name, affiliation, country Florence Merlevède; Université Paris Est
 
2. Creator Author's name, affiliation, country Emmanuel Rio; Université de Versailles
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Minimal and ideal distances, rates of convergence,Martingale difference sequences,
 
3. Subject Subject classification 60F05
 
4. Description Abstract In this paper, we give estimates of ideal or minimal distances between the distribution of the normalized partial sum and the limiting Gaussian distribution for stationary martingale differ- ence sequences or stationary sequences satisfying projective criteria. Applications to functions of linear processes and to functions of expanding maps of the interval are given.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2009-05-12
 
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/648
 
10. Identifier Digital Object Identifier 10.1214/EJP.v14-648
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 14
 
12. Language English=en
 
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