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Exponential tail bounds for max-recursive sequences


 
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1. Title Title of document Exponential tail bounds for max-recursive sequences
 
2. Creator Author's name, affiliation, country Ludger Rueschendorf; Mathematical Stochastics
 
2. Creator Author's name, affiliation, country Eva-Maria Schopp; Mathematical Stochastics
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) recursive algorithm, exponential bounds, divide and conquer algorithm, probabilistic analysis of algorithms
 
3. Subject Subject classification 60705, 68Q25, 68W40
 
4. Description Abstract Exponential tail bounds are derived for solutions of max-recursive equations and for max-recursive random sequences, which typically arise as functionals of recursive structures, of random trees or in recursive algorithms. In particular they arise in the worst case analysis of divide and conquer algorithms, in parallel search algorithms or in the height of random tree models. For the proof we determine asymptotic bounds for the moments or for the Laplace transforms and apply a characterization of exponential tail bounds due to Kasahara (1978).
 
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7. Date (YYYY-MM-DD) 2006-11-11
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ecp.ejpecp.org/article/view/1227
 
10. Identifier Digital Object Identifier 10.1214/ECP.v11-1227
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 11
 
12. Language English=en
 
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