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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.

Engineering mathematics. --- Probabilities. --- Reliability (Engineering) --- Probability --- Statistical inference --- Combinations --- Mathematics --- Chance --- Least squares --- Mathematical statistics --- Risk --- Reliability of equipment --- Systems reliability --- Engineering --- Maintainability (Engineering) --- Probabilities --- Systems engineering --- Plant performance --- Safety factor in engineering --- Structural failures --- Engineering analysis --- Mathematical analysis --- Statistics. --- Distribution (Probability theory. --- System safety. --- Civil engineering. --- Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences. --- Probability Theory and Stochastic Processes. --- Quality Control, Reliability, Safety and Risk. --- Civil Engineering. --- Statistical analysis --- Statistical data --- Statistical methods --- Statistical science --- Econometrics --- Public works --- Safety, System --- Safety of systems --- Systems safety --- Accidents --- Industrial safety --- Distribution functions --- Frequency distribution --- Characteristic functions --- Prevention --- Risk assessment --- Statistical methods. --- Statistics . --- Quality control. --- Reliability. --- Industrial safety. --- Industrial accidents --- Industries --- Job safety --- Occupational hazards, Prevention of --- Occupational health and safety --- Occupational safety and health --- Prevention of industrial accidents --- Prevention of occupational hazards --- Safety, Industrial --- Safety engineering --- Safety measures --- Safety of workers --- System safety --- Dependability --- Trustworthiness --- Conduct of life --- Factory management --- Industrial engineering --- Sampling (Statistics) --- Standardization --- Quality assurance --- Quality of products

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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.

Operational research. Game theory --- Statistical physics --- Engineering sciences. Technology --- Production management --- Civil engineering. Building industry --- statistische kwaliteitscontrole --- industriële statistieken --- stochastische analyse --- kwaliteitscontrole --- ingenieurswetenschappen --- kansrekening

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