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#### Large Deviations and Metastability

Cambridge University Press 2005; US$ 212.00Covers an area at intersection of probability theory and statistical mechanics. more...

#### Information Theory And The Central Limit Theorem

World Scientific Publishing Company 2004; US$ 96.00 US$ 83.52This book provides a comprehensive description of a new method of proving the central limit theorem, through the use of apparently unrelated results from information theory. It gives a basic introduction to the concepts of entropy and Fisher information, and collects together standard results concerning their behaviour. It brings together results from... more...

#### Self-Normalized Processes

Springer Berlin Heidelberg 2008; US$ 71.39This volume covers recent developments in self-normalized processes, including self-normalized large and moderate deviations, and laws of the iterated logarithms for self-normalized martingales. more...

#### Rare Event Simulation using Monte Carlo Methods

Wiley 2009; US$ 151.00 US$ 130.87In a probabilistic model, a rare event is an event with a very small probability of occurrence. The forecasting of rare events is a formidable task but is important in many areas. For instance a catastrophic failure in a transport system or in a nuclear power plant, the failure of an information processing system in a bank, or in the communication... more...

#### Uniform Central Limit Theorems

Cambridge University Press 1999; US$ 46.00This treatise by an acknowledged expert includes several topics not found in any previous book. more...

#### A History of the Central Limit Theorem

Springer New York 2010; US$ 149.18This study discusses the history of the central limit theorem and related probabilistic limit theorems from about 1810 through 1950. Coverage extends to the historical development of analytical probability theory and its tools. more...

#### A Weak Convergence Approach to the Theory of Large Deviations

Wiley 2011; US$ 223.00 US$ 193.27Applies the well-developed tools of the theory of weak convergence of probability measures to large deviation analysis--a consistent new approach The theory of large deviations, one of the most dynamic topics in probability today, studies rare events in stochastic systems. The nonlinear nature of the theory contributes both to its richness and difficulty.... more...

#### Limit Theorems in Probability, Statistics and Number Theory

Springer Berlin Heidelberg 2013; US$ 92.70?Limit theorems and asymptotic results form a central topic in probability theory and mathematical statistics. New and non-classical limit theorems have been discovered for processes in random environments, especially in connection with random matrix theory and free probability. These questions and the techniques for answering them combine asymptotic... more...

#### Probability and Statistics for Computer Scientists, Second Edition

CRC Press 2015; US$ 112.00Student-Friendly Coverage of Probability, Statistical Methods, Simulation, and Modeling Tools Incorporating feedback from instructors and researchers who used the previous edition, Probability and Statistics for Computer Scientists, Second Edition helps students understand general methods of stochastic modeling, simulation, and data analysis;... more...

#### Stable Convergence and Stable Limit Theorems

Springer International Publishing 2015; US$ 63.93The authors present a concise but complete exposition of the mathematical theory of stable convergence and give various applications in different areas of probability theory and mathematical statistics to illustrate the usefulness of this concept. Stable convergence holds in many limit theorems of probability theory and statistics ? such as the classical... more...