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#### GENERALIZED FUNCTIONALS OF BROWNIAN MOTION AND THEIR APPLICATIONS

World Scientific Publishing Company 2011; US$ 127.00This invaluable research monograph presents a unified and fascinating theory of generalized functionals of Brownian motion and other fundamental processes such as fractional Brownian motion and Levy process — covering the classical Wiener–Ito class including the generalized functionals of Hida as special cases, among others. It presents a... more...

#### Markov Decision Processes and the Belief-Desire-Intention Model

Springer New York 2011; US$ 39.95In this work, we provide a treatment of the relationship between two models that have been widely used in the implementation of autonomous agents: the Belief DesireIntention (BDI) model and Markov Decision Processes (MDPs). We start with an informal description of the relationship, identifying the common features of the two approaches and the differences... more...

#### Selected Topics on Continuous-time Controlled Markov Chains and Markov Games

World Scientific Publishing Company 2012; US$ 143.00This book concerns continuous-time controlled Markov chains, also known as continuous-time Markov decision processes. They form a class of stochastic control problems in which a single decision-maker wishes to optimize a given objective function. This book is also concerned with Markov games, where two decision-makers (or players) try to optimize their... more...

#### Quantile-Based Reliability Analysis

Springer 2013; US$ 79.95This book provides a fresh approach to reliability theory, an area that has gained increasing relevance in fields from statistics and engineering to demography and insurance. Its innovative use of quantile functions gives an analysis of lifetime data that is generally simpler, more robust, and more accurate than the traditional methods, and opens the... more...

#### A First Course in Probability and Markov Chains

Wiley 2012; US$ 91.00Provides an introduction to basic structures of probability with a view towards applications in information technology A First Course in Probability and Markov Chains presents an introduction to the basic elements in probability and focuses on two main areas. The first part explores notions and structures in probability, including combinatorics,... more...

#### Examples in Markov Decision Processes

World Scientific Publishing Company 2012; US$ 129.00This invaluable book provides approximately eighty examples illustrating the theory of controlled discrete-time Markov processes. Except for applications of the theory to real-life problems like stock exchange, queues, gambling, optimal search etc, the main attention is paid to counter-intuitive, unexpected properties of optimization problems. Such... more...

#### Applied Diffusion Processes from Engineering to Finance

Wiley 2013; US$ 186.00The aim of this book is to promote interaction between engineering, finance and insurance, as these three domains have many models and methods of solution in common for solving real-life problems. The authors point out the strict inter-relations that exist among the diffusion models used in engineering, finance and insurance. In each of the three... more...

#### Brownian Motion, Hardy Spaces and Bounded Mean Oscillation

Cambridge University Press 1977; US$ 44.00An exposition of research on the martingale and analytic inequalities associated with Hardy spaces and functions of bounded mean oscillation (BMO). more...

#### Lectures on Stochastic Analysis: Diffusion Theory

Cambridge University Press 1987; US$ 32.00This book is based on a course given at Massachusetts Institute of Technology. more...

#### Random Walk in Random and Non-Random Environments

World Scientific Publishing Company 2013; US$ 112.00The simplest mathematical model of the Brownian motion of physics is the simple, symmetric random walk. This book collects and compares current results — mostly strong theorems which describe the properties of a random walk. The modern problems of the limit theorems of probability theory are treated in the simple case of coin tossing. Taking... more...