
„Surveying the major techniques of average case analysis, thisgraduate textbook presents both analytical methods used forwell-structured algorithms and probabilistic methods used for morestructurally complex algorithms.“ (SciTech Book News, Vol. 25, No.3, September 2001)
„... contains a comprehensive treatment on probabilistic, combinatorial, and analytical techniques and methods... treatment isclear, rigorous, self-contained, with many examples and exercises.“(Zentralblatt MATH Vol. 968, 2001/18)
„This well-organized book... is certainly useful... It is a valuablesource for a deeper and more precise understanding of the behaviorsof algorithms on sequences.“ (Mathematical Reviews, 2002f)
Average Case Analysis of Algorithms on Sequences
von Wojciech SzpankowskiA timely book on a topic that has witnessed a surge of interestover the last decade, owing in part to several novel applications, most notably in data compression and computational molecularbiology. It describes methods employed in average case analysis ofalgorithms, combining both analytical and probabilistic tools in asingle volume.
* Tools are illustrated through problems on words with applicationsto molecular biology, data compression, security, and patternmatching.
* Includes chapters on algorithms and data structures on words, probabilistic and analytical models, inclusion-exclusionprinciples, first and second moment methods, subadditive ergodictheorem and large deviations, elements of information theory, generating functions, complex asymptotic methods, Mellin transformand its applications, and analytic poissonization anddepoissonization.
* Written by an established researcher with a strong internationalreputation in the field.
* Tools are illustrated through problems on words with applicationsto molecular biology, data compression, security, and patternmatching.
* Includes chapters on algorithms and data structures on words, probabilistic and analytical models, inclusion-exclusionprinciples, first and second moment methods, subadditive ergodictheorem and large deviations, elements of information theory, generating functions, complex asymptotic methods, Mellin transformand its applications, and analytic poissonization anddepoissonization.
* Written by an established researcher with a strong internationalreputation in the field.