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Providing a non-technical introduction to probability theory this text covers the concept of probability and its relation to relative frequency, the properties of probability, discrete and continuous random variables and binomial, uniform, normal and chi-squared distributions.
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Chance --- Probabilities
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Probabilities --- Probability --- Probabilities. --- Mathematical Statistics
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Probabilities --- Probability --- Probabilities. --- Mathematical Statistics
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John Nelder is one of today's leading statisticians, having made an impact on many parts of the discipline. This book contains reviews of some of those areas, written by top researchers. It is accessible to non-specialists, and is noteworthy for its breadth of coverage.
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Now available in the Cambridge Mathematical Library, the classic work from Luis Santaló. Integral geometry originated with problems on geometrical probability and convex bodies. Its later developments, however, have proved to be useful in several fields ranging from pure mathematics (measure theory, continuous groups) to technical and applied disciplines (pattern recognition, stereology). The book is a systematic exposition of the theory and a compilation of the main results in the field. The volume can be used to complement courses on differential geometry, Lie groups or probability or differential geometry. It is ideal both as a reference and for those wishing to enter the field.
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To better understand the core concepts of probability and to see how they affect real-world decisions about design and system performance, engineers and scientists might want to ask themselves the following questions: what exactly is meant by probability? What is the precise definition of the 100-year load and how is it calculated? What is an 'extremal' probability distribution? What is the Bayesian approach? How is utility defined? How do games fit into probability theory? What is entropy? How do I apply these ideas in risk analysis? Starting from the most basic assumptions, this 2005 book develops a coherent theory of probability and broadens it into applications in decision theory, design, and risk analysis. This book is written for engineers and scientists interested in probability and risk. It can be used by undergraduates, graduate students, or practicing engineers.
Engineering --- Decision making --- Probabilities. --- Statistical methods.
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Mathematical statistics --- Bayesian statistical decision theory --- Probabilities
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