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Here is a rigorous introduction to the most important and useful solution methods of various types of stochastic control problems for jump diffusions and its applications. Discussion includes the dynamic programming method and the maximum principle method, and their relationship. The text emphasises real-world applications, primarily in finance. Results are illustrated by examples, with end-of-chapter exercises including complete solutions. The 2nd edition adds a chapter on optimal control of stochastic partial differential equations driven by Lévy processes, and a new section on optimal stopping with delayed information. Basic knowledge of stochastic analysis, measure theory and partial differential equations is assumed.
Why should we use white noise analysis? Well, one reason of course is that it fills that earlier gap in the tool kit. As Hida would put it, white noise provides us with a useful set of independent coordinates, parametrized by 'time'. And there is a feature which makes white noise analysis extremely user-friendly. Typically the physicist — and not only he — sits there with some heuristic ansatz, like e.g. the famous Feynman 'integral', wondering whether and how this might make sense mathematically. In many cases the characterization theorem of white noise analysis provides the user with a sweet and easy answer. Feynman's 'integral' can now be understood, the 'It's all in the vacuum' ansat...
As a 21-year-old Marine sent to the front lines of the Korean War, Al Martinez dispatched letters almost daily to his young bride, Joanne. In battle, he experienced the worst that war can bring, and then he served as a combat correspondent and as writer and editor of his regimental newsletter, the Ridgerunner. After the war, he entered a career in journalism, becoming a featured columnist for the Los Angeles Times where he would earn three shared Pulitzer Prizes. Written from the unique perspective of an obviously gifted, professional writer at the beginning of his career, his letters home capture his experiences eloquently and with depth of understanding as they express the dangers, hardships, fear, friendships, and even humor of life at the front. His vivid, often humorous pen-and-ink drawings portray scenes from the front lines.
Collecting together twenty-three self-contained articles, this volume presents the current research of a number of renowned scientists in both probability theory and statistics as well as their various applications in economics, finance, the physics of wind-blown sand, queueing systems, risk assessment, turbulence and other areas. The contributions are dedicated to and inspired by the research of Ole E. Barndorff-Nielsen who, since the early 1960s, has been and continues to be a very active and influential researcher working on a wide range of important problems. The topics covered include, but are not limited to, econometrics, exponential families, Lévy processes and infinitely divisible distributions, limit theory, mathematical finance, random matrices, risk assessment, statistical inference for stochastic processes, stochastic analysis and optimal control, time series, and turbulence. The book will be of interest to researchers and graduate students in probability, statistics and their applications.
This book provides a first-hand account of business analytics and its implementation, and an account of the brief theoretical framework underpinning each component of business analytics. The themes of the book include (1) learning the contours and boundaries of business analytics which are in scope; (2) understanding the organization design aspects of an analytical organization; (3) providing knowledge on the domain focus of developing business activities for financial impact in functional analysis; and (4) deriving a whole gamut of business use cases in a variety of situations to apply the techniques. The book gives a complete, insightful understanding of developing and implementing analytical solution.
"This book is the first complete history of the development of heart surgery. Its story ranges from the observations of the ancient Greeks through early efforts to repair heart wounds in the nineteenth century to the extraordinary advances of the present day. Noted heart surgeon Harris B. Shumacker has scoured the vast literature on heart surgery in many languages and has succeeded in untangling the complex strands of a fascinating story. An active and respected participant in the last half-century of this history, Shumacker brings to his narrative an experts insights and a wealth of first-hand experience." "As a backdrop for what is to come, Shumacker surveys the prehistory of modern heart ...
Each issue includes a classified section on the organization of the Dept.
Soil degradation is clearly one of the most pressing problems facing man kind. A continuation of soil degradation will eventually lead to a loss in crop productivity even though fertilizers and other inputs often result in increased yields in the short term. Soil degradation also leads to environ mental pollution. A decrease in soil quality invariably leads to a decrease in water quality, and often in air quality. While there is a clear consensus that soil degradation is a major problem, the literature on this subject leaves numerous baffling questions. If statis tics on land degradation are correct, there is a definite cause for concern, and present a mammoth challenge for agricultural scie...
Chemical oxidation technologies are rapidly maturing into a wide variety of processes for the treatment of difficult waste streams, including wastewater, groundwater, hazardous waste and air. This volume is the fifth proceedings of the international symposium on chemical oxidation processes applied to environmental problems.