**Author**: Franco Pavese

**Publisher:** Springer Science & Business Media

**ISBN:**

**Category:** Mathematics

**Page:** 486

**View:** 818

This book provide a comprehensive set of modeling methods for data and uncertainty analysis, taking readers beyond mainstream methods and focusing on techniques with a broad range of real-world applications. The book will be useful as a textbook for graduate students, or as a training manual in the fields of calibration and testing. The work may also serve as a reference for metrologists, mathematicians, statisticians, software engineers, chemists, and other practitioners with a general interest in measurement science.

The main theme of the AMCTM 2008 conference, reinforced by the establishment of IMEKO TC21, was to provide a central opportunity for the metrology and testing community worldwide to engage with applied mathematicians, statisticians and software engineers working in the relevant fields. This review volume consists of reviewed papers prepared on the basis of the oral and poster presentations of the Conference participants. It covers all the general matters of advanced statistical modeling (e.g. uncertainty evaluation, experimental design, optimization, data analysis and applications, multiple measurands, correlation, etc.), metrology software (e.g. engineering aspects, requirements or specification, risk assessment, software development, software examination, software tools for data analysis, visualization, experiment control, best practice, standards, etc.), numerical methods (e.g. numerical data analysis, numerical simulations, inverse problems, uncertainty evaluation of numerical algorithms, applications, etc.), and data fusion techniques and design and analysis of inter-laboratory comparisons.

This volume contains original, refereed contributions by researchers from institutions and laboratories across the world that are involved in metrology and testing. They were adapted from presentations made at the eleventh edition of the Advanced Mathematical and Computational Tools in Metrology and Testing conference held at the University of Strathclyde, Glasgow, in September 2017, organized by IMEKO Technical Committee 21, the National Physical Laboratory, UK, and the University of Strathclyde. The papers present new modeling approaches, algorithms and computational methods for analyzing data from metrology systems and for evaluation of the measurement uncertainty, and describe their applications in a wide range of measurement areas.This volume is useful to all researchers, engineers and practitioners who need to characterize the capabilities of measurement systems and evaluate measurement data. Through the papers written by experts working in leading institutions, it covers the latest computational approaches and describes applications to current measurement challenges in engineering, environment and life sciences.

This volume contains original and refereed contributions from the tenth AMCTM Conference (http://www.nviim.ru/AMCTM2014) held in St. Petersburg (Russia) in September 2014 on the theme of advanced mathematical and computational tools in metrology and testing. The themes in this volume reflect the importance of the mathematical, statistical and numerical tools and techniques in metrology and testing and, also keeping the challenge promoted by the Metre Convention, to access a mutual recognition for the measurement standards. Contents:Fostering Diversity of Thought in Measurement Science (F Pavese and P De Bièvre)Polynomial Calibration Functions Revisited: Numerical and Statistical Issues (M G Cox and P Harris)Empirical Functions with Pre-Assigned Correlation Behaviour (A B Forbes)Models and Methods of Dynamic Measurements: Results Presented by St. Petersburg Metrologists (V A Granovskii)Interval Computations and Interval-Related Statistical Techniques: Estimating Uncertainty of the Results of Data Processing and Indirect Measurements (V Ya Kreinovich)Classification, Modeling and Quantification of Human Errors in Chemical Analysis (I Kuselman)Application of Nonparametric Goodness-of-Fit Tests: Problems and Solution (B Yu Lemeshko)Dynamic Measurements Based on Automatic Control Theory Approach (A L Shestakov)Models for the Treatment of Apparently Inconsistent Data (R Willink)Model for Emotion Measurements in Acoustic Signals and Its Analysis (Y Baksheeva, K Sapozhnikova and R Taymanov)Uncertainty Calculation in Gravimetric Microflow Measurements (E Batista, N Almeida, I Godinho and E Filipe)Uncertainties Propagation from Published Experimental Data to Uncertainties of Model Parameters Adjusted by the Least Squares (V I Belousov, V V Ezhela, Y V Kuyanov, S B Lugovsky, K S Lugovsky and N P Tkachenko)A New Approach for the Mathematical Alignment Machine Tool-Paths on a Five-Axis Machine and Its Effect on Surface Roughness (S Boukebbab, J Chaves-Jacob, J-M Linares and N Azzam)Goodness-of-Fit Tests for One-Shot Device Testing Data (E V Chimitova and N Balakrishan)Calculation of Coverage Intervals: Some Study Cases (A Stepanov, A Chunovkina and N Burmistrova)Application of Numerical Methods in Metrology of Electromagnetic Quantities (M Cundeva-Blajer)Calibration Method of Measuring Instruments in Operating Conditions (A A Danilov, Yu V Kucherenko, M V Berzhinskaya, N P Ordinartseva)Statistical Methods for Conformity Assessment When Dealing with Computationally Expensive Systems: Application to a Fire Engineering Case Study (S Demeyer, N Fischer, F Didieux and M Binacchi)Overview of EMRP Joint Reserch Project NEW06 "Traceability for Computationally-Intensive Metrology" (A B Forbes, I M Smith, F Härtig and K Wendt)Stable Units of Account for Economic Value Correct Measuring (N Hovanov)A Novel Approach for Uncertainty Evaluation Using Characteristic Function Theory (A B Ionov, N S Chernysheva and B P Ionov)Estimation of Test Uncertainty for TraCIM Reference Pairs (F Keller, K Wendt and F Härtig)Approaches for Assigning Numerical Uncertainty to Reference Data Pairs for Software Validation (G J P Kok and I M Smith)Uncertainty Evaluation for a Computationally Expensive Model of a Sonic Nozzle (G J P Kok and N Pelevic)EllipseFit4HC: A MATLAB Algorithm for Demodulation and Uncertainty Evaluation of the Quadrature Interferometer Signals (R Köning, G Wimmer and V Witkovský)Considerations on the Influence of Test Equipment Instability and Calibration Methods on Measurement Uncertainty of the Test Laboratory (A S Krivov, S V Marinko and I G Boyko)A Cartesian Method to Improve the Results and Save Computation Time in Bayesian Signal Analysis (G A Kyriazis)The Definition of the Reliability of Identification of Complex Organic Compounds Using HPLC and Base Chromatographic and Spectral Data (E V Kulyabina and Yu A Kudeyarov)Uncertainty Evaluation of Fluid Dynamic Simulation with One-Dimensional Riser Model by Means of Stochastic Differential Equations (E A O Lima, S B Melo, C C Dantas, F A S Teles and S Soares Bandiera)Simulation Method to Estimate the Uncertainties of ISO Specifications (J-M Linares and J M Sprauel)Adding a Virtual Layer in a Sensor Network to Improve Measurement Reliability (U Maniscalco and R Rizzo)Calibration Analysis of a Computational Optical System Applied in the Dimensional Monitoring of a Suspension Bridge (L L Martins, J M Rebordão and A S Ribeiro)Determination of Numerical Uncertainty Associated with Numerical Artefacts for Validating Coordinate Metrology Software (H D Minh, I M Smith and A B Forbes)Least-Squares Method and Type B Evaluation of Standard Uncertainty (R Palenčár, S Ďuriš, P Pavlásek, M Dovica, S Slosarčík and G Wimmer)Optimising Measurement Processes Using Automated Planning (S Parkinson, A Crampton and A P Longstaff)Software Tool for Conversion of Historical Temperature Scales (P Pavlásek, S Ďuriš, R Palenčár and A Merlone)Few Measurements, Non-Normality: A Statement on the Expanded Uncertainty (J Petry, B De Boeck, M Dobre and A Peruzzi)Quantifying Uncertainty in Accelerometer Sensitivity Studies (A L Rukhin and D J Evans)Metrological Aspects of Stopping Iterative Procedures in Inverse Problems for Static-Mode Measurements (K K Semenov)Inverse Problems in Theory and Practice of Measurements and Metrology (K K Semenov, G N Solopchenko and V Ya Kreinovich)Fuzzy Intervals as Foundation of Metrological Support for Computations with Inaccurate Data (K K Semenov, G N Solopchenko and V Ya Kreinovich)Testing Statistical Hypotheses for Generalized Semiparametric Proportional Hazards Models with Cross-Effect of Survival Functions (M A Semenova and E V Chimitova)Novel Reference Value and DOE Determination by Model Selection and Posterior Predictive Checking (K Shirono, H Tanaka, M Shiro and K Ehara)Certification of Algorithms for Constructing Calibration Curves of Measuring Instruments (T Siraya)Discrete and Fuzzy Encoding of the ECG-Signal for Multidisease Diagnostic System (V Uspenskiy, K Vorontsov, V Tselykh and V Bunakov)Application of Two Robust Methods in Inter-Laboratory Comparisons with Small Samples (E T Volodarsky and Z L Warsza)Validation of CMM Evaluation Software Using TraCIM (K Wendt, M Franke and F Härtig)Semi-Parametric Polynomial Method for Retrospective Estimation of the Change-Point of Parameters of Non-Gaussian Sequences (S V Zabolotnii and Z L Warsza)Use of a Bayesian Approach to Improve Uncertainty of Model-Based Measurements by Hybrid Multi-Tool Metrology (N-F Zhang, B M Barnes, R M Silver and H Zhou)Application of Effective Number of Observations and Effective Degrees of Freedom for Analysis of Autocorrelated Observations (A Zieba) Readership: Researchers, graduate students, academics and professionals in metrology. Key Features:Unique consolidated series of books (started in 1993) in mathematics, statistics and software specifically for metrology and testingAuthors are among the most prominent in the metrology and testing fieldsNo competing books in the same comprehensive fieldKeywords:Mathematics;Statistics;Modeling;Uncertainty;Metrology;Testing;Computational Tools;Measurement Science

Metrology is the science of measurements. It is traceable to measurement standards, thus to the concept of measurement accuracy, which is used in all natural and technical sciences, as well as in some fields of social sciences and liberal arts. The key problem is one of obtaining knowledge of the physical reality, which is observed through a prism of an assemblage of quantity properties describing the objectively-real world. One of the fundamental tasks of metrology is the development of theoretical and methodological aspects of the procedure of getting an accurate knowledge relating to objects and processes of the surrounding world. Due to the rapid development of information technologies and intelligent measurement systems and measuring instruments, as well as to the growing usage of mathematical methods in social and biological sciences, this monograph is dedicated to convey the fundamental theory.

This book constitutes thoroughly refereed revised selected papers from the First IAPR TC3 Workshop on Partially Supervised Learning, PSL 2011, held in Ulm, Germany, in September 2011. The 14 papers presented in this volume were carefully reviewed and selected for inclusion in the book, which also includes 3 invited talks. PSL 2011 dealt with methodological issues as well as real-world applications of PSL. The main methodological issues were: combination of supervised and unsupervised learning; diffusion learning; semi-supervised classification, regression, and clustering; learning with deep architectures; active learning; PSL with vague, fuzzy, or uncertain teaching signals; learning, or statistical pattern recognition; and PSL in cognitive systems. Applications of PSL included: image and signal processing; multi-modal information processing; sensor/information fusion; human computer interaction; data mining and Web mining; forensic anthropology; and bioinformatics.

Optical Measurements, Modeling, and Metrology represents one of eight volumes of technical papers presented at the Society for Experimental Mechanics Annual Conference on Experimental and Applied Mechanics, held at Uncasville, Connecticut, June 13-16, 2011. The full set of proceedings also includes volumes on Dynamic Behavior of Materials, Mechanics of Biological Systems and Materials, Mechanics of Time-Dependent Materials and Processes in Conventional and Multifunctional Materials; MEMS and Nanotechnology; Experimental and Applied Mechanics, Thermomechanics and Infra-Red Imaging, and Engineering Applications of Residual Stress.

This volume contains original, refereed worldwide contributions. They were prompted by presentations made at the ninth AMCTM Conference held in G teborg (Sweden) in June 2011 on the theme of advanced mathematical and computational tools in metrology and also, in the title of this book series, in testing. The themes in this volume reflect the importance of the mathematical, statistical and numerical tools and techniques in metrology and testing and, also in keeping the challenge promoted by the Metre Convention, to access a mutual recognition for the measurement standards.

This Springer Handbook of Metrology and Testing presents the principles of Metrology – the science of measurement – and the methods and techniques of Testing – determining the characteristics of a given product – as they apply to chemical and microstructural analysis, and to the measurement and testing of materials properties and performance, including modelling and simulation. The principal motivation for this Handbook stems from the increasing demands of technology for measurement results that can be used globally. Measurements within a local laboratory or manufacturing facility must be able to be reproduced accurately anywhere in the world. The book integrates knowledge from basic sciences and engineering disciplines, compiled by experts from internationally known metrology and testing institutions, and academe, as well as from industry, and conformity-assessment and accreditation bodies. The Commission of the European Union has expressed this as there is no science without measurements, no quality without testing, and no global markets without standards.

Metrology and its applications e.g. in chemical or food analysis or in environmental monitoring are entering our daily life. This book provides a basic overview over the relevant metrological concepts like traceability, ISO uncertainties or cause-and-effect diagrams. The applications described in great detail range from progression-of-error type evaluation of the measurement uncertainty budget to complex applications like pH measurement or speciation calculations for aqueous solutions. The consequences of a measurement uncertainty concept for chemical data are outlined for geochemical modeling applied to transport in the subsurface and to nuclear waste disposal. Special sections deal with the deficits of existing thermodynamic data for these applications and with the current position of chemical metrology in respect to other quality assurance measures, e.g. ISO 900x, GLP, European and U.S.-American standards.