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#### A History of the Central Limit Theorem

Springer New York 2010; US$ 199.00This 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...

#### 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...

#### Introduction to Statistical Limit Theory

CRC Press 2011; US$ 99.95Helping students develop a good understanding of asymptotic theory, Introduction to Statistical Limit Theory provides a thorough yet accessible treatment of common modes of convergence and their related tools used in statistics. It also discusses how the results can be applied to several common areas in the field. The author explains as much... more...

#### Large Deviations and Idempotent Probability

CRC Press 2001; US$ 159.95In 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...

#### Large Deviations and Metastability

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

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

Springer Berlin Heidelberg 2013; US$ 139.00?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 2013; US$ 99.95Student-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...

#### Rare Event Simulation using Monte Carlo Methods

Wiley 2009; US$ 146.00In 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...

#### Self-Normalized Processes

Springer Berlin Heidelberg 2008; US$ 99.00This 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...

#### 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...