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#### Information Theory And The Central Limit Theorem

World Scientific Publishing Company 2004; US$ 156.00This 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...

#### Large Deviations and Metastability

Cambridge University Press 2005; US$ 202.00Covers an area at intersection of probability theory and statistical mechanics. more...

#### Self-Normalized Processes

Springer 2008; US$ 99.00Self-normalized processes are of common occurrence in probabilistic and statistical studies. This volume covers developments in the area, including self-normalized large and moderate deviations, and laws of the iterated logarithms for self-normalized martingales. It treats the theory and applications of self-normalization. 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 2010; US$ 199.00This study discusses the history of the central limit theorem and related probabilistic limit theorems from about 1810 through 1950. In this context the book also describes the historical development of analytical probability theory and its tools, such as characteristic functions or moments. The central limit theorem was originally deduced by Laplace... more...

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

Springer 2013; US$ 139.00Limit 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...

#### Rare Event Simulation using Monte Carlo Methods

Wiley 2009; US$ 141.00In 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...

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

Wiley 2011; US$ 209.00Applies 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...

#### Large Deviations and Idempotent Probability

Taylor and Francis 2001; US$ 154.95In the view of many probabilists, author Anatolii Puhalskii's research results stand among the most significant achievements in the modern theory of large deviations. In fact, his work marked a turning point in the depth of our understanding of the connections between the large deviation principle (LDP) and well-known methods for establishing weak... more...

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