This book presents a large variety of extensions of the methods of inclusion and exclusion. Both methods for generating and methods for proof of such inequalities are discussed. The inequalities are utilized for finding asymptotic values and for limit theorems. Applications vary from classical probability estimates to modern extreme value theory and combinatorial counting to random subset selection. Applications are given in prime number theory, growth of digits in different algorithms, and in statistics such as estimates of confidence levels of simultaneous interval estimation. The prerequisites include the basic concepts of probability theory and familiarity with combinatorial arguments.
- ISBN13 9780387947761
- Publish Date 9 August 1996
- Publish Status Active
- Publish Country US
- Imprint Springer-Verlag New York Inc.
- Edition 1996 ed.
- Format Hardcover
- Pages 269
- Language English