TY  - THES
A1  - Leckey, Kevin
T1  - Probabilistic analysis of radix algorithms on Markov sources
N2  - This thesis covers the analysis of radix sort, radix select and the path length of digital trees under a stochastic input assumption known as the Markov model. 
The main results are asymptotic expansions of mean and variance as well as a central limit theorem for the complexity of radix sort and the path length of tries, PATRICIA tries and digital search trees.
Concerning radix select, a variety of different models for ranks are discussed including a law of large numbers for the worst case behavior, a limit theorem for the grand averages model and the first order asymptotic of the average complexity in the quantile model.
Some of the results are achieved by moment transfer techniques, the limit laws are based on a novel use of the contraction method suited for systems of stochastic recurrences.
KW  - Probabilistic analysis of algorithms
KW  - Markov model
KW  - Contraction method
KW  - Radix sort
KW  - Digital trees
Y1  - 2015
UR  - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/37723
UR  - https://nbn-resolving.org/urn:nbn:de:hebis:30:3-377238
EP  - 126
PB  - Univ.-Bibliothek
CY  - Frankfurt am Main
ER  -