Large deviation estimates have proved to be the crucial tool required to handle many questions in statistics, engineering, statistial mechanics, and applied probability. Amir Dembo and Ofer Zeitouni, two of the leading researchers inthe field, provide an introduction to the theory of large deviations and applications at a level suitable for graduate students. The mathematics is rigorous and the applications come from a wide range of areas, including electrical engineering and DNA sequences. The second edition, printed in 1998, included new material on concentration inequalities and the metric and weak convergence approaches to large deviations. General statements and applications were sharpened, new exercises added, and the bibliography updated. The present soft coveredition is a corrected printing of the 1998 edition. Written by two of the leading researchers in the field Applications come from a wide range of areas, including electrical engineering and DNA sequencing This second edition includes three new sections which reflect current developments in the field, particularly with regard to applications New exercises have been added and the bibliography has been updated INDICE: Preface to the second edition.- Preface to the first edition.- Introduction.- LDP for Finite Dimensional Space.- Applications - The Finite Dimensional Case.- General Principles.- Sample Path Large Deviations.- The LDP for Abstract Empirical Measures.- Applications of Empirical Measures LDP.- Appendices.- Bibliography.- General Conventions.- Index of Notation.- Index.
- ISBN: 978-3-642-03310-0
- Editorial: Springer
- Encuadernacion: Rústica
- Páginas: 420
- Fecha Publicación: 15/10/2009
- Nº Volúmenes: 1
- Idioma: Inglés