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A Limit Law for the Root Value of Minimax Trees


 
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1. Title Title of document A Limit Law for the Root Value of Minimax Trees
 
2. Creator Author's name, affiliation, country Tämur Ali Khan; Johann Wolfgang Goethe Universität, Germany
 
2. Creator Author's name, affiliation, country Luc Devroye; McGill University, Canada
 
2. Creator Author's name, affiliation, country Ralph Neininger; Wolfgang Goethe Universität, Germany
 
3. Subject Discipline(s)
 
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4. Description Abstract We consider minimax trees with independent, identically distributed leaf values that have a continuous distribution function $F_V$ being strictly increasing on the range where $0 < F_V < 1$. It was shown by Pearl that the root value of such trees converges to a deterministic limit in probability without any scaling. We show that after normalization we have convergence in distribution to a nondegenerate limit random variable.
 
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7. Date (YYYY-MM-DD) 2005-12-21
 
8. Type Status & genre Peer-reviewed Article
 
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9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ecp.ejpecp.org/article/view/1168
 
10. Identifier Digital Object Identifier 10.1214/ECP.v10-1168
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 10
 
12. Language English=en
 
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