On the Distribution of the Length of the Longest Increasing Subsequence in a Random Permutation

Verfasser / Beitragende:
[James Fu, Yu-Fei Hsieh]
Ort, Verlag, Jahr:
2015
Enthalten in:
Methodology and Computing in Applied Probability, 17/2(2015-06-01), 489-496
Format:
Artikel (online)
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024 7 0 |a 10.1007/s11009-013-9376-1  |2 doi 
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245 0 0 |a On the Distribution of the Length of the Longest Increasing Subsequence in a Random Permutation  |h [Elektronische Daten]  |c [James Fu, Yu-Fei Hsieh] 
520 3 |a The distribution of the longest increasing subsequence in a random permutation has attracted many researchers in statistics, computer sciences and mathematics. There are considerable manuscripts studying the distribution especially for large n. In this short manuscript, we provide a simple probabilistic approach to obtain the exact distribution of the length of the longest increasing subsequence of a random permutation, based on the insertion procedure and the finite Markov chain imbedding technique. 
540 |a Springer Science+Business Media New York, 2013 
690 7 |a Longest increasing subsequence  |2 nationallicence 
690 7 |a Insertion procedure  |2 nationallicence 
690 7 |a Finite Markov chain imbedding  |2 nationallicence 
690 7 |a Random permutation  |2 nationallicence 
700 1 |a Fu  |D James  |u Department of Statistics, University of Manitoba, R3T 2N2, Winnipeg, MB, Canada  |4 aut 
700 1 |a Hsieh  |D Yu-Fei  |u Department of Statistics, University of Manitoba, R3T 2N2, Winnipeg, MB, Canada  |4 aut 
773 0 |t Methodology and Computing in Applied Probability  |d Springer US; http://www.springer-ny.com  |g 17/2(2015-06-01), 489-496  |x 1387-5841  |q 17:2<489  |1 2015  |2 17  |o 11009 
856 4 0 |u https://doi.org/10.1007/s11009-013-9376-1  |q text/html  |z Onlinezugriff via DOI 
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900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
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950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s11009-013-9376-1  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Fu  |D James  |u Department of Statistics, University of Manitoba, R3T 2N2, Winnipeg, MB, Canada  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Hsieh  |D Yu-Fei  |u Department of Statistics, University of Manitoba, R3T 2N2, Winnipeg, MB, Canada  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Methodology and Computing in Applied Probability  |d Springer US; http://www.springer-ny.com  |g 17/2(2015-06-01), 489-496  |x 1387-5841  |q 17:2<489  |1 2015  |2 17  |o 11009