Evaluating the measurement uncertainty : fundamentals and practical guidance /
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| Author / Creator: | LIRA, IGNACIO. |
|---|---|
| Imprint: | Bristol, UK : Philadelphia, Pa. : Institute of Physics Publishing, 2002. |
| Description: | xvi, 243 p. : ill. : 24 cm. |
| Language: | English |
| Series: | Series in measurement science and technology |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/5169746 |
Table of Contents:
- 1. Metrology, its role in today's world
- 1.1. The convention du Metre and SI units
- 1.2. Metrology in high-technology manufacturing industries
- 1.3. The need for accuracy rather than simply reproducibility
- 1.4. Metrology in human health and in environmental protection
- 1.5. Metrology and fundamental physics
- 1.6. The role of national and regional metrology organizations
- 1.7. The cost of maintaining a national measurement system
- 1.8. Final remarks - a personal view
- 2. Basic concepts and definitions
- 2.1. An example: tolerance checking
- 2.2. Values and units of measurement
- 2.3. Calibration and traceability
- 2.4. Measurement uncertainty
- 2.5. Measurement error, accuracy and precision
- 2.6. The measurement model
- 2.7. Some additional remarks
- 3. Evaluating the standard uncertainty
- 3.1. Quantities as random variables
- 3.2. Standard, mutual and expanded uncertainties
- 3.3. Some useful pdfs
- 3.4. The law of propagation of uncertainties (LPU)
- 3.5. The special case of only one input quantity
- 3.6. Monte Carlo methods
- 3.7. Imported primary quantities
- 3.8. Directly measured primary quantities: type A analysis
- 3.9. Digital display devices
- 3.10. Correction quantities: systematic effects
- 3.11. Correction quantities: calibration
- 4. Evaluating the expanded uncertainty
- 4.1. Coverage factor and coverage probability
- 4.2. Coverage intervals and coverage uncertainties
- 4.3. The consumer's and producer's risks
- 4.4. The acceptance interval: guardbanding
- 4.5. Type A analysis revisited
- 4.6. Quantities evaluated from a measurement model
- 4.7. Standard versus expanded uncertainty
- 5. The joint treatment of several measurands
- 5.1. Vectors and matrices
- 5.2. The generalized law of propagation of uncertainties (GLPU)
- 5.3. The input uncertainty matrix
- 5.4. Applications of the generalized law of propagation
- 5.5. Least-squares adjustment
- 5.6. Curve-fitting
- 5.7. Consistency analysis
- 5.8. Applications of least-squares adjustment
- 6. Bayesian inference
- 6.1. Bayes' theorem (BT)
- 6.2. BT in terms of probability density functions
- 6.3. Example
- 6.4. Non-informative priors
- 6.5. Repeated measurements
- 6.6. The principle of maximum entropy (PME)
- 6.7. Evaluation of the producer's and consumer's risks
- 6.8. The model prior
- 6.9. Bayesian analysis of the model Z = M(X, Y). App. Probability tables.
