Provides a comprehensive and updated study of GARCH models and their applications in finance, covering new developments in the discipline

This book provides a comprehensive and systematic approach to understanding GARCH time series models and their applications whilst presenting the most advanced results...

Covers: artificial neurons as models of their real counterparts; the geometry of network action in pattern space; gradient descent methods, including back-propagation; associative memory and Hopfield nets; and self-organization and feature maps.

This book grew out of a set of course notes for a neural networks module given as part of a...

One of the most enticing aspects of mathematics, we have found, is the interplay of
ideas from seemingly disparate disciplines of the subject. Linear algebra provides
a beautiful illustration of this, in that it is by nature both algebraic and geometric.
...

This new edition of a successful, bestselling book continues to provide you with practical information on the use of statistical methods for solving real-world problems in complex industrial environments. Complete with examples from the chemical and pharmaceutical laboratory and manufacturing areas, this thoroughly updated book clearly...

This book is an introduction into stochastic processes for physicists, biologists and financial analysts. Using an informal approach, all the necessary mathematical tools and techniques are covered, including the stochastic differential equations, mean values, probability distribution functions, stochastic integration and numerical modeling....

Since the dawn of computing, the quest for a better understanding of Nature has been a driving force for technological development. Groundbreaking achievements by great scientists have paved the way from the abacus to the supercomputing power of today. When trying to replicate Nature in the computer’s silicon test tube, there is need...

Mutual Funds: Your Money, Your Choice gives you an unvarnished look at both the positives and the negatives of mutual fund investing: the real risks, the real costs, the real tax issues, and the real returns. Simply and clearly, without complicated charts or equations, top investment researcher Charles P. Jones...

Today, a firm understanding of mathematics is essential for any serious student of economics. Students of economics need nowadays several important mathematical tools. These include calculus for functions of one or several variables as well as a basic understanding of optimization with and without constraints, e.g. linear programming plays an...

Linearity plays a critical role in the study of elementary differential equations; linear differential equations, especially systems thereof, demonstrate a fundamental application of linear algebra. In Differential Equations with Linear Algebra, we explore this interplay between linear algebra and differential equations and examine...

Real-time rendering poses severe computational requirements to computers. In order to maintain a continuous looking motion for the human eye, at least 20 images need to be generated in each second. An image consists of about a million pixels, which means that for a single pixel the visible point and its color should be computed in less than 50 ns...

Stochastic differential equations are differential equations whose solutions are stochastic processes. They exhibit appealing mathematical properties that are useful in modeling uncertainties and noisy phenomena in many disciplines. This book is motivated by applications of stochastic differential equations in target tracking and medical...

In two editions spanning more than a decade, The Electrical Engineering Handbook stands as the definitive reference to the multidisciplinary field of electrical engineering. Our knowledge continues to grow, and so does the Handbook. For the third edition, it has been expanded into a set of six books carefully focused on a specialized area or field...