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Advanced Mathematical and Computational Tools in Metrology and Testing XII cover

This volume contains original, refereed contributions by researchers from national metrology institutes, universities and laboratories across the world involved in metrology and testing. The volume has been produced by the International Measurement Confederation Technical Committee 21, Mathematical Tools for Measurements and is the twelfth in the series. The papers cover topics in numerical analysis and computational tools, statistical inference, regression, calibration and metrological traceability, computer science and data provenance, and describe applications in a wide range of application domains. This volume is useful to all researchers, engineers and practitioners who need to characterize the capabilities of measurement systems and evaluate measurement data. It will also be of interest to scientists and engineers concerned with the reliability, trustworthiness and reproducibility of data and data analytics in data-driven systems in engineering, environmental and life sciences.

Sample Chapter(s)
Explicit unconditionally numerically stable solution of a class of cubic equations

  • Dedication
  • Foreword
  • Invited Paper:
    • Explicit Unconditionally Numerically Stable Solution of a Class of Cubic Equations (M G Cox)
  • Review Papers:
    • Effective Number of Degrees of Freedom Associated with Regression Models (A B Forbes)
    • Bayesian Signal Analysis and Parameter Estimation — A Tutorial Review (G A Kyriazis)
    • Review on Questionable Consistency Issues between the CGPM Resolution 1 on Revised SI (2018) and the 9th BIPM SI Brochure (2019) (F Pavese)
    • Statistical and Computational Tools for Metrologists (S Stoudt and A Possolo)
    • Measurement Results and Fuzzy Models (R Viertl)
  • Papers:
    • Uncertainty Calculation in Nanoflow Measurements Using Interferometry (E Batista, A Furtado, J Pereira, I Godinho, and R F Martins)
    • What If We Use Almost-Linear Functions Instead of Linear Ones as a First Approximation in Interval Computations (M Ceberio, O Kosheleva, and V Kreinovich)
    • Data Provenance, Curation and Quality in Metrology (J Cheney, A Chapman, J Davidson, and A B Forbes)
    • On Estimation of Linear Regression Confidence Bands: Analytical Solution and Monte Carlo Simulation (A G Chunovkina, A V Stepanov, and G Wimmer)
    • Repeatability, Reproducibility and Resampled Effects Models (A B Forbes and K Jagan)
    • Uncertainty Evaluation in Rheology Measurements (A Furtado, J Pereira, J A Sousa, M G Cox, and A S Ribeiro)
    • Measuring Instruments Comparison for Calibration and Check: Four Typical Tasks of Data Processing (V A Granovskii)
    • Discrete Wavelet Transform on Uncertain Data: Efficient Online Implementation for Practical Applications (M Gruber, T Dorst, A Schütze, S Eichstädt, and C Elster)
    • Digital Representation of Measurement Uncertainty for Metrological Traceability (B D Hall and D R White)
    • Software Representation of Measured Physical Quantities (B D Hall)
    • Combining Data Streams of Doubtful Provenance (K Jagan and A B Forbes)
    • Using Measurement Uncertainty in a Risk-Based Decision-Making Framework for Clinical Diagnosis (K Jagan, P M Harris, N A S Smith, J Teuho, R Siekkinen, J Schultz, and A Saraste)
    • Evaluation of Measurement Uncertainty in SBI — Single Burning Item Reaction to Fire Test (L L Martins, A S Ribeiro, M G Cox, and J A Sousa)
    • Type Systems for Programs Respecting Dimensions (C McBride and F Nordvall-Forsberg)
    • Measurement in Science: Between Evaluation and Prediction (F Pavese)
    • A Method Based on Combinations of Forecaster and Weighing Matrix to Detect Fault of Components in Diecasting Process (L Provezza, G Sansoni, M Lancini, and A Marini)
    • Practical Experiment Design of Task-Specific Uncertainty Evaluation for Coordinate Metrology (O Sato, T Takatsuji, and A Balsamo)
    • How to Separate Absolute and Relative Error Components: Interval Case (C Servin, O Kosheleva, and V Keinovich)
    • Proficiency Testing with Ordinal Categorical Data (T Suzuki, M Isono, and J Takashita)
    • How to Describe Measurement Errors: A Natural Generalization of the Central Limit Theorem Beyond Normal (and Other Infinitely Divisible) Distributions (J C Urenda, O Kosheleva, and V Keinovich)
    • Modelling of the Dynamic Gravimetric Preparation of Calibration Gas Mixtures Using Permeation of Trace Gas Analysis (A M H van der Veen, H Meuzelaar, M Čaušević, and M G Cox)
    • Adaptive Measuring System with Dynamic Error Estimation of the First-Order Sensor (A S Volosnikov)
Readership: Researchers, graduate students, academics and quality engineers working in metrology and its applications to manufacturing, environment, health and life sciences.

Free Access
  • Pages:i–xii

Invited Paper

Free Access
Explicit unconditionally numerically stable solution of a class of cubic equations
  • Pages:1–22

Review papers

No Access
Effective number of degrees of freedom associated with regression models
  • Pages:23–44

No Access
Bayesian signal analysis and parameter estimation – A tutorial review
  • Pages:45–79

No Access
Review on questionable consistency issues between the CGPM Resolution 1 on revised SI (2018) and the 9th BIPM SI Brochure (2019)
  • Pages:80–108

No Access
Statistical and computational tools for metrologists
  • Pages:109–125

No Access
Measurement results and fuzzy models
  • Pages:126–141


No Access
Uncertainty calculation in nanoflow measurements using interferometry
  • Pages:142–148

No Access
What if we use almost-linear functions instead of linear ones as a first approximation in interval computations
  • Pages:149–166

No Access
Data provenance, curation and quality in metrology
  • Pages:167–187

No Access
On estimation of linear regression confidence bands: Analytical solution and Monte Carlo simulation
  • Pages:188–196

No Access
Repeatability, reproducibility and resampled effects models
  • Pages:197–218

No Access
Uncertainty evaluation in rheology measurements
  • Pages:219–228

No Access
Measuring instruments comparison for calibration and check: Four typical tasks of data processing
  • Pages:229–248

No Access
Discrete wavelet transform on uncertain data: Efficient online implementation for practical applications
  • Pages:249–261

No Access
Digital representation of measurement uncertainty for metrological traceability
  • Pages:262–272

No Access
Software representation of measured physical quantities
  • Pages:273–284

No Access
Combining data streams of doubtful provenance
  • Pages:285–305

No Access
Using measurement uncertainty in a risk-based decision-making framework for clinical diagnosis
  • Pages:306–320

No Access
Evaluation of measurement uncertainty in SBI – Single Burning Item reaction to fire test
  • Pages:321–330

No Access
Type systems for programs respecting dimensions
  • Pages:331–345

No Access
Measurement in science: Between evaluation and prediction
  • Pages:346–363

No Access
A method based on combinations of forecaster and weighing matrix to detect fault of components in diecasting process
  • Pages:364–380

No Access
Practical experimental design of task-specific uncertainty evaluation for coordinate metrology
  • Pages:381–389

No Access
How to separate absolute and relative error components: Interval case
  • Pages:390–405

No Access
Proficiency testing with ordinal categorical data
  • Pages:406–417

No Access
How to describe measurement errors: A natural generalization of the Central Limit Theorem beyond normal (and other infinitely divisible) distributions
  • Pages:418–428

No Access
Modelling of the dynamic gravimetric preparation of calibration gas mixtures using permeation for trace gas analysis
  • Pages:429–440

No Access
Adaptive measuring system with dynamic error estimation of the first-order sensor
  • Pages:441–450

No Access
Method of estimation uncertainties of indirect multivariable measurements including the accuracy of processing function as extension of GUM-S2
  • Pages:451–464

No Access
Incompatibility of types of measurement uncertainty: A digital paradox and other examples
  • Pages:465–476

No Access
Invertible calibration curves: Hyperbolic segments and hyperbolic splines
  • Pages:477–488

No Access
A logical contradiction in the representation of constants by probability distributions: Premises and implications
  • Pages:489–500

No Access
Polycal - MATLAB algorithm for comparative polynomial calibration and its applications
  • Pages:501–512

No Access
Statistical models for similarity score comparisons in firearm evidence identification
  • Pages:513–524

Free Access
  • Pages:525–533