Kategoria BISAC: Mathematics >> Probability & Statistics - Stochastic Processes

This fascinating book begins with fundamental definitions and notations of urn models before moving on to stochastic processes and applications of urn models in the field of finance. The Pólya urn model is simple but has rich content and diverse applications because it includes correlations. Applications of Pólya models such as phase transitions in nonlinear Pólya models are studied here, and the relation between temporal correlation and phase transition is also...

The area of Reliability has become a very important and active area of research. This is clearly evident from the large body of literature that has been developed in the form of books, volumes and research papers since 1988 when the previous Handbook of Statistics on this area was prepared by P.R. Krishnaiah and C.R. Rao. This is the reason we felt that this is indeed the right time to dedicate another volume in the Handbook of Statistics series to highlight some recent advances in the area of Reliability. With this purpose in mind, we solicited articles from leading experts working in the...

The chapters fall into four groups. The first four cover the fundamentals of stochastic processes, and lay the foundation...

An insightful, revealing history of the magical mathematics that transformed our world.

At a summer tea party in Cambridge, England, a guest states that tea poured into milk tastes different from milk poured into tea. Her notion is shouted down by the scientific minds of the group. But one man, Ronald Fisher, proposes to scientifically test the hypothesis. There is no better person to conduct such an experiment, for Fisher is a pioneer in the field of statistics.

The Lady Tasting Tea spotlights not only Fisher's theories but also the revolutionary ideas of...

Nonlinear Dynamical Systems and Control presents and develops an extensive treatment of stability analysis and control design of nonlinear dynamical systems, with an emphasis on Lyapunov-based methods. Dynamical system theory lies at the heart of mathematical sciences and engineering. The application of dynamical systems has crossed interdisciplinary boundaries from chemistry to biochemistry to chemical kinetics, from medicine to biology to population genetics, from economics to sociology to psychology, and from physics to mechanics to engineering. The increasingly complex...

Stochastic Calculus for Finance evolved from the first ten years of the Carnegie Mellon Professional Master's program in Computational Finance. The content of this book has been used successfully with students whose mathematics background consists of calculus and calculus-based probability. The text gives both precise statements of results, plausibility arguments, and even some proofs, but more importantly intuitive explanations developed and refine through classroom experience with this material are provided. The book includes a self-contained treatment of the probability theory needed...

Effective Dynamics of Stochastic Partial Differential Equations focuses on stochastic partial differential equations with slow and fast time scales, or large and small spatial scales. The authors have developed basic techniques, such as averaging, slow manifolds, and homogenization, to extract effective dynamics from these stochastic partial differential equations.

The authors' experience both as researchers and teachers enable them to convert current research on extracting effective dynamics of stochastic partial differential equations into concise and comprehensive chapters. The...