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The Principle of Large Deviations for Martingale Additive Functionals of Recurrent Markov Processes


 
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1. Title Title of document The Principle of Large Deviations for Martingale Additive Functionals of Recurrent Markov Processes
 
2. Creator Author's name, affiliation, country Matthias K. Heck; HypoVereinsbank
 
2. Creator Author's name, affiliation, country Faïza Maaouia; HypoVereinsbank
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Central Limit Theorem (CLT), Large Deviations Principle (LDP), Markov Processes, Autoregressive Model (AR1), Positive Recurrent Processes, Martingale Additive Functional (MAF)
 
3. Subject Subject classification Primary 60F05, 60F10, 60F15; Secondary 60F17, 60J25.
 
4. Description Abstract We give a principle of large deviations for a generalized version of the strong central limit theorem. This generalized version deals with martingale additive functionals of a recurrent Markov process.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2001-03-02
 
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/81
 
10. Identifier Digital Object Identifier 10.1214/EJP.v6-81
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 6
 
12. Language English=en
 
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