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"Risk models are models of uncertainty, engineered for some purposes. They are educated guesses and hypotheses assessed and valued in terms of well-defined future states and their consequences. They are engineered to predict, to manage countable and accountable futures and to provide a frame of reference within which we may believe that uncertainty is tamed. Quantitative-statistical tools are used to reconcile our information, experience and other knowledge with hypotheses that both serve as the foundation of risk models and also value and price risk. Risk models are therefore common to most professions, each with its own methods and techniques based on their needs, experience and a wisdom accrued over long periods of time. This book provides a broad and interdisciplinary foundation to engineering risks and to their financial valuation and pricing. Risk models applied in industry and business, heath care, safety, the environment and regulation are used to highlight their variety while financial valuation techniques are used to assess their financial consequences. This book is technically accessible to all readers and students with a basic background in probability and statistics (with 3 chapters devoted to introduce their elements). Principles of risk measurement, valuation and financial pricing as well as the economics of uncertainty are outlined in 5 chapters with numerous examples and applications. New results, extending classical models such as the CCAPM are presented providing insights to assess the risks and their price in an interconnected, dependent and strategic economic environment. In an environment departing from the fundamental assumptions we make regarding financial markets, the book provides a strategic/game-like approach to assess the risk and the opportunities that such an environment implies"--Back cover

A comprehensive guide to financial engineering that stresses real-world applications Financial engineering expert Charles S. Tapiero has his finger on the pulse of shifts coming to financial engineering and its applications. With an eye toward the future, he has crafted a comprehensive and accessible book for practitioners and students of Financial Engineering that emphasizes an intuitive approach to financial and quantitative foundations in financial and risk engineering. The book covers the theory from a practitioner perspective and applies it to a variety of real-world problems. Examines the cornerstone of the explosive growth in markets worldwide Presents important financial engineering techniques to price, hedge, and manage risks in general Author heads the largest financial engineering program in the world Author Charles Tapiero wrote the seminal work Risk and Financial Management.

"Charles Tapiero, as the head of the biggest financial engineering program in the world and business consultant, has his finger on the pulse of the shift that is coming in financial engineering applications and study. With an eye toward the future, he has crafted a comprehensive and practical book that emphasizes an intuitive approach to the financial and quantitative foundations of financial and risk engineering and its many applications to asset pricing and risk management. Covering the theory from a practitioner perspective, he then applies it to a variety of real world problems. The book presents important techniques to price, hedge, and manage risks in general - while acknowledging the high degree of uncertainty in the real world"-

AbstractThis paper formulates a problem of continuous quality production and maintenance of a machine. Quality is assumed to be a known function of the machine's (Markov diffusion process) degradation states. Applications to a specific quality function are used to obtain analytical solutions to an open‐loop and feedback stochastic control maintenance problem.

ABSTRACTIn this tutorial the author shows how graph theory can be used to model the structural relationships in a behavioral theory. The baśic elements of a graph and its related matrices are defined and illustrated. A survey of applications of graph theory in behavioral science is followed by an extensive bibliography.