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Preface | |
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Metrology, its role in today's world | |
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The convention du Metre and SI units | |
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Metrology in high-technology manufacturing industries | |
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The need for accuracy rather than simply reproducibility | |
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Metrology in human health and in environmental protection | |
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Metrology and fundamental physics | |
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The role of national and regional metrology organizations | |
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The cost of maintaining a national measurement system | |
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Final remarks - a personal view | |
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Basic concepts and definitions | |
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An example: tolerance checking | |
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Values and units of measurement | |
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Calibration and traceability | |
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Measurement uncertainty | |
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Measurement error, accuracy and precision | |
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The measurement model | |
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Some additional remarks | |
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Evaluating the standard uncertainty | |
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Quantities as random variables | |
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Standard, mutual and expanded uncertainties | |
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Some useful pdfs | |
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The law of propagation of uncertainties (LPU) | |
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The special case of only one input quantity | |
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Monte Carlo methods | |
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Imported primary quantities | |
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Directly measured primary quantities: type A analysis | |
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Digital display devices | |
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Correction quantities: systematic effects | |
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Correction quantities: calibration | |
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Evaluating the expanded uncertainty | |
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Coverage factor and coverage probability | |
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Coverage intervals and coverage uncertainties | |
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The consumer's and producer's risks | |
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The acceptance interval: guardbanding | |
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Type A analysis revisited | |
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Quantities evaluated from a measurement model | |
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Standard versus expanded uncertainty | |
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The joint treatment of several measurands | |
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Vectors and matrices | |
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The generalized law of propagation of uncertainties (GLPU) | |
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The input uncertainty matrix | |
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Applications of the generalized law of propagation | |
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Least-squares adjustment | |
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Curve-fitting | |
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Consistency analysis | |
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Applications of least-squares adjustment | |
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Bayesian inference | |
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Bayes' theorem (BT) | |
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BT in terms of probability density functions | |
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Example | |
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Non-informative priors | |
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Repeated measurements | |
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The principle of maximum entropy (PME) | |
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Evaluation of the producer's and consumer's risks | |
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The model prior | |
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Bayesian analysis of the model Z = M(X, Y) | |
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Probability tables | |
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Glossary | |
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References | |
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Index to chapters 2-6 | |