Synopsis
From ancient soothsayers and astrologists to today’s pollsters and economists, probability theory has long been used to predict the future on the basis of past and present knowledge. Mathematical Models of Information and Stochastic Systems shows that the amount of knowledge about a system plays an important role in the mathematical models used to foretell the future of the system. It explains how this known quantity of information is used to derive a system’s probabilistic properties.
After an introduction, the book presents several basic principles that are employed in the remainder of the text to develop useful examples of probability theory. It examines both discrete and continuous distribution functions and random variables, followed by a chapter on the average values, correlations, and covariances of functions of variables as well as the probabilistic mathematical model of quantum mechanics. The author then explores the concepts of randomness and entropy and derives various discrete probabilities and continuous probability density functions from what is known about a particular stochastic system. The final chapters discuss information of discrete and continuous systems, time-dependent stochastic processes, data analysis, and chaotic systems and fractals.
By building a range of probability distributions based on prior knowledge of the problem, this classroom-tested text illustrates how to predict the behavior of diverse systems. A solutions manual is available for qualifying instructors.
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Philipp Kornreich
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Mathematical Models of Information and Stochastic Systems
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CRC Press, Boca Raton, 2008
ISBN 10: 1420058835
ISBN 13: 9781420058833
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Mathematical Models of Information and Stochastic Systems
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Mathematical Models of Information and Stochastic Systems (Hardcover)
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Taylor & Francis Inc, Bosa Roca, 2008
ISBN 10: 1420058835
ISBN 13: 9781420058833
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Hardcover. Condition: new. Hardcover. From ancient soothsayers and astrologists to todays pollsters and economists, probability theory has long been used to predict the future on the basis of past and present knowledge. Mathematical Models of Information and Stochastic Systems shows that the amount of knowledge about a system plays an important role in the mathematical models used to foretell the future of the system. It explains how this known quantity of information is used to derive a systems probabilistic properties.After an introduction, the book presents several basic principles that are employed in the remainder of the text to develop useful examples of probability theory. It examines both discrete and continuous distribution functions and random variables, followed by a chapter on the average values, correlations, and covariances of functions of variables as well as the probabilistic mathematical model of quantum mechanics. The author then explores the concepts of randomness and entropy and derives various discrete probabilities and continuous probability density functions from what is known about a particular stochastic system. The final chapters discuss information of discrete and continuous systems, time-dependent stochastic processes, data analysis, and chaotic systems and fractals. By building a range of probability distributions based on prior knowledge of the problem, this classroom-tested text illustrates how to predict the behavior of diverse systems. A solutions manual is available for qualifying instructors. Shows that the amount of knowledge about a system plays an important role in the mathematical models used to foretell the future of the system. This book explains how to derive probability distributions to predict the behaviour of systems based on what is known about the system. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9781420058833
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Mathematical Models of Information and Stochastic Systems
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Mathematical Models of Information and Stochastic Systems
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Mathematical Models of Information and Stochastic Systems
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ISBN 10: 1420058835
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Buch. Condition: Neu. Neuware - With a simple, accessible style, Mathematical Models of Information and Stochastic Systems presents basic principles of probability followed by important concepts derived from these principles. The book provides comprehensive coverage of joint, conditional, and total probabilities; random variables and their functions; conditional distribution functions; average values, moments, and correlations; randomness and average randomness; random systems; information; random processes; spectral densities; data analysis; and chaotic systems. Making it an ideal resource for students, the text features numerous case studies, examples, and problems as well as a solutions manual. Seller Inventory # 9781420058833
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Mathematical Models of Information and Stochastic Systems (Hardcover)
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Taylor & Francis Inc, Bosa Roca, 2008
ISBN 10: 1420058835
ISBN 13: 9781420058833
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Hardcover. Condition: new. Hardcover. From ancient soothsayers and astrologists to todays pollsters and economists, probability theory has long been used to predict the future on the basis of past and present knowledge. Mathematical Models of Information and Stochastic Systems shows that the amount of knowledge about a system plays an important role in the mathematical models used to foretell the future of the system. It explains how this known quantity of information is used to derive a systems probabilistic properties.After an introduction, the book presents several basic principles that are employed in the remainder of the text to develop useful examples of probability theory. It examines both discrete and continuous distribution functions and random variables, followed by a chapter on the average values, correlations, and covariances of functions of variables as well as the probabilistic mathematical model of quantum mechanics. The author then explores the concepts of randomness and entropy and derives various discrete probabilities and continuous probability density functions from what is known about a particular stochastic system. The final chapters discuss information of discrete and continuous systems, time-dependent stochastic processes, data analysis, and chaotic systems and fractals. By building a range of probability distributions based on prior knowledge of the problem, this classroom-tested text illustrates how to predict the behavior of diverse systems. A solutions manual is available for qualifying instructors. Shows that the amount of knowledge about a system plays an important role in the mathematical models used to foretell the future of the system. This book explains how to derive probability distributions to predict the behaviour of systems based on what is known about the system. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. Seller Inventory # 9781420058833
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