TY  - GEN
T1  - Concentration of measure for the analysis of randomized algorithms
A1  - Dubhashi, Devdatt
A2  - Panconesi, Alessandro
LA  - English
PP  - Cambridge ; New York
PB  - Cambridge University Press
YR  - 2009
UL  - https://ebooks.jgu.edu.in/Record/ebsco_acadsubs_ocn438824274
AB  - Randomized algorithms have become a central part of the algorithms curriculum, based on their increasingly widespread use in modern applications. This book presents a coherent and unified treatment of probabilistic techniques for obtaining high probability estimates on the performance of randomized algorithms. It covers the basic toolkit from the Chernoff-Hoeffding bounds to more sophisticated techniques like martingales and isoperimetric inequalities, as well as some recent developments like Talagrand's inequality, transportation cost inequalities and log-Sobolev inequalities. Along the way, variations on the basic theme are examined, such as Chernoff-Hoeffding bounds in dependent settings. The authors emphasise comparative study of the different methods, highlighting respective strengths and weaknesses in concrete example applications. The exposition is tailored to discrete settings sufficient for the analysis of algorithms, avoiding unnecessary measure-theoretic details, thus making the book accessible to computer scientists as well as probabilists and discrete mathematicians.
OP  - 196
CN  - QA273 .D765 2009eb
SN  - 9780511580956
SN  - 0511580959
SN  - 9780511579554
SN  - 0511579551
SN  - 9780511581274
SN  - 0511581270
SN  - 9781107606609
SN  - 1107606608
SN  - 1107200318
SN  - 9781107200319
SN  - 1282302779
SN  - 9781282302778
SN  - 9786612302770
SN  - 6612302771
SN  - 0511580630
SN  - 9780511580635
SN  - 0511578814
SN  - 9780511578816
SN  - 0511580290
SN  - 9780511580291
SN  - 9780521884273
SN  - 0521884276
KW  - Random variables.
KW  - Distribution (Probability theory)
KW  - Limit theorems (Probability theory)
KW  - Algorithms.
KW  - Computer algorithms.
KW  - Variables aléatoires.
KW  - Distribution (Théorie des probabilités)
KW  - Théorèmes limites (Théorie des probabilités)
KW  - Algorithmes.
KW  - distribution (statistics-related concept)
KW  - algorithms.
KW  - MATHEMATICS : Numerical Analysis.
KW  - Computer algorithms
KW  - Algorithms
KW  - Random variables
KW  - Electronic books.
ER  -