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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)
Foreword
Explicit unconditionally numerically stable solution of a class of cubic equations

Contents:
  • 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
FRONT MATTER
  • Pages:i–xii

https://doi.org/10.1142/9789811242380_fmatter

Invited Paper


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

https://doi.org/10.1142/9789811242380_0001

Review papers


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

https://doi.org/10.1142/9789811242380_0002

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

https://doi.org/10.1142/9789811242380_0003

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

https://doi.org/10.1142/9789811242380_0004

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

https://doi.org/10.1142/9789811242380_0005

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

https://doi.org/10.1142/9789811242380_0006

Papers


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

https://doi.org/10.1142/9789811242380_0007

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

https://doi.org/10.1142/9789811242380_0008

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

https://doi.org/10.1142/9789811242380_0009

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

https://doi.org/10.1142/9789811242380_0010

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

https://doi.org/10.1142/9789811242380_0011

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

https://doi.org/10.1142/9789811242380_0012

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

https://doi.org/10.1142/9789811242380_0013

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

https://doi.org/10.1142/9789811242380_0014

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

https://doi.org/10.1142/9789811242380_0015

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

https://doi.org/10.1142/9789811242380_0016

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

https://doi.org/10.1142/9789811242380_0017

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

https://doi.org/10.1142/9789811242380_0018

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

https://doi.org/10.1142/9789811242380_0019

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

https://doi.org/10.1142/9789811242380_0020

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

https://doi.org/10.1142/9789811242380_0021

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

https://doi.org/10.1142/9789811242380_0022

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

https://doi.org/10.1142/9789811242380_0023

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

https://doi.org/10.1142/9789811242380_0024

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

https://doi.org/10.1142/9789811242380_0025

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

https://doi.org/10.1142/9789811242380_0026

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

https://doi.org/10.1142/9789811242380_0027

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

https://doi.org/10.1142/9789811242380_0028

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

https://doi.org/10.1142/9789811242380_0029

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

https://doi.org/10.1142/9789811242380_0030

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

https://doi.org/10.1142/9789811242380_0031

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

https://doi.org/10.1142/9789811242380_0032

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

https://doi.org/10.1142/9789811242380_0033

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

https://doi.org/10.1142/9789811242380_0034

Free Access
BACK MATTER
  • Pages:525–533

https://doi.org/10.1142/9789811242380_bmatter