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Probability Distributions in Risk Management Operations (Hardcover, 2015 ed.)
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Probability Distributions in Risk Management Operations (Hardcover, 2015 ed.)
Series: Intelligent Systems Reference Library, 83
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This book is about the formulations, theoretical investigations,
and practical applications of new stochastic models for fundamental
concepts and operations of the discipline of risk management. It
also examines how these models can be useful in the descriptions,
measurements, evaluations, and treatments of risks threatening
various modern organizations. Moreover, the book makes clear that
such stochastic models constitute very strong analytical tools
which substantially facilitate strategic thinking and strategic
decision making in many significant areas of risk management. In
particular the incorporation of fundamental probabilistic concepts
such as the sum, minimum, and maximum of a random number of
continuous, positive, independent, and identically distributed
random variables in the mathematical structure of stochastic models
significantly supports the suitability of these models in the
developments, investigations, selections, and implementations of
proactive and reactive risk management operations. The book makes
extensive use of integral and differential equations of
characteristic functions, mainly corresponding to important classes
of mixtures of probability distributions, as powerful analytical
tools for investigating the behavior of new stochastic models
suitable for the descriptions and implementations of fundamental
risk control and risk financing operations. These risk treatment
operations very often arise in a wide variety of scientific
disciplines of extreme practical importance.
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