Igor Rychlik, Jesper Rydén

Probability and Risk Analysis (eBook, PDF)

An Introduction for Engineers

• Format: PDF

Produktbeschreibung

This book presents notions and ideas from the foundations of a statistical treatment of risks. Bayesian methods are frequently used in that area, hence a reasonable proportion of the presentation is devoted to such approaches. Modern statistical tools, namely Poisson regression, analysis of deviance, extreme-value theory and threshold methods are also used to identify and solve practical problems. The knowledge of such tools facilitates the understanding of the role of probability in risk analysis and proper use of outputs given by software packages.

The book is written with a student in mind who has studied elementary undergraduate courses in engineering mathematics, perhaps including an introductory course in statistics. The text emphasizes an understanding of the theory and methods presented. Hence, comments are given verbally and an intuitive reasoning is frequent. This is not just another new textbook on elementary probability and statistics, but focuses strongly on applications within the field of risk and safety analysis.

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Produktdetails

• Verlag: Springer Berlin Heidelberg
• Seitenzahl: 281
• Erscheinungstermin: 7. Oktober 2006
• Englisch
• ISBN-13: 9783540395218
• Artikelnr.: 43852679

Autorenporträt

Igor Rychlik, University of Lund, Sweden / Jesper Rydén, University of Lund, Sweden

Inhaltsangabe

Basic Probability.- Probabilities in Risk Analysis.- Distributions and Random Variables.- Fitting Distributions to Data - Classical Inference.- Conditional Distributions with Applications.- to Bayesian Inference.- Intensities and Poisson Models.- Failure Probabilities and Safety Indexes.- Estimation of Quantiles.- Design Loads and Extreme Values.

Rezensionen

From the reviews: "This is a textbook for students with basic (undergraduate courses) mathematical knowledge. In the first part, elementary statistical methods are explained including basic ideas of Bayesian inference and point processes. The second part is devoted to probabilistic assessment of risk in engineering problems. ... Each chapter ends with a section on exercises, short solutions are given in appendix." (Daniela JaruSková, Zentralblatt MATH, Vol. 1145, 2008)