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1

Hall, Blair. "Modelling Metrological Traceability." Metrology 5, no. 2 (2025): 25. https://doi.org/10.3390/metrology5020025.

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Metrological traceability is essential for ensuring the accuracy of measurement results and enabling a comparison of results to support decision-making in society. This paper explores a structured approach to modelling traceability chains, focusing on the role of residual measurement errors and their impact on measurement accuracy. This work emphasises a scientific description of these errors as physical quantities. By adopting a simple modelling framework grounded in physical principles, the paper offers a formal way to account for the effects of errors through an entire traceability chain, f
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Białek, Agnieszka, Sarah Douglas, Joel Kuusk, et al. "Example of Monte Carlo Method Uncertainty Evaluation for Above-Water Ocean Colour Radiometry." Remote Sensing 12, no. 5 (2020): 780. http://dx.doi.org/10.3390/rs12050780.

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We describe a method to evaluate an uncertainly budget for the in situ Ocean Colour Radiometric measurements. A Monte Carlo approach is chosen to propagate the measurement uncertainty inputs through the measurements model. The measurement model is designed to address instrument characteristics and uncertainty associated with them. We present the results for a particular example when the radiometers were fully characterised and then use the same data to show a case when such characterisation is missing. This, depending on the measurement and the wavelength, can increase the uncertainty value si
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Johnson, Steven, and Anja Einseln. "An Uncertain Approach to Measurement Uncertainty." Forensic Science International: Synergy 1 (August 2019): S2. http://dx.doi.org/10.1016/j.fsisyn.2019.06.008.

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Cecinati, Francesca, Antonio Moreno-Ródenas, Miguel Rico-Ramirez, Marie-claire ten Veldhuis, and Jeroen Langeveld. "Considering Rain Gauge Uncertainty Using Kriging for Uncertain Data." Atmosphere 9, no. 11 (2018): 446. http://dx.doi.org/10.3390/atmos9110446.

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In urban hydrological models, rainfall is the main input and one of the main sources of uncertainty. To reach sufficient spatial coverage and resolution, the integration of several rainfall data sources, including rain gauges and weather radars, is often necessary. The uncertainty associated with rain gauge measurements is dependent on rainfall intensity and on the characteristics of the devices. Common spatial interpolation methods do not account for rain gauge uncertainty variability. Kriging for Uncertain Data (KUD) allows the handling of the uncertainty of each rain gauge independently, mo
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Sukirno, Sukirno, Sri Murniasih, Rosidi Rosidi, and Samin Samin. "Evaluasi Ketidakpastian Pengukuran Multi-Unsur Dalam Mineral Zirkon Dengan Metode Analisis Aktivasi Neutron." EKSPLORIUM 36, no. 1 (2015): 45. http://dx.doi.org/10.17146/eksplorium.2015.36.1.2770.

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Evaluasi analisis multi-unsur yang disertai perhitungan ketidakpastian unsur pada mineral zirkon yang berasal dari Sampit, Kalimantan Tengah dan Pulau Bangka telah dilakukan dengan metode Analisis Aktivasi Neutron (AAN). Tujuan penelitian ini adalah menentukan komposisi dan nilai ketidakpastian multi-unsur dalam mineral zirkon untuk memenuhi persyaratan ISO/IEC guide 17025-2008 yang telah diterapkan pada laboratorium AAN. Analisis menggunakan spektrometri gamma dengan detektor HPGe menghasilkan 21 unsur terdeteksi yang dibagi menjadi tiga kelompok (mayor, minor, dan kelumit). Evaluasi ketidakp
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Liu, Wen-Cheng, Wei-Che Huang, and Chih-Chieh Young. "Uncertainty Analysis for Image-Based Streamflow Measurement: The Influence of Ground Control Points." Water 15, no. 1 (2022): 123. http://dx.doi.org/10.3390/w15010123.

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Large-scale particle image velocimetry (LSPIV) provides a cost-effective, rapid, and secure monitoring tool for streamflow measurements. However, surveys of ground control points (GCPs) might affect the camera parameters through the solution of collinearity equations and then impose uncertainty on the measurement results. In this paper, we explore and present an uncertainty analysis for image-based streamflow measurements with the main focus on the ground control points. The study area was Yufeng Creek, which is upstream of the Shimen Reservoir in Northern Taiwan. A monitoring system with dual
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Venteris, E. R., and I. M. Whillans. "Variability of accumulation rate in the catchments of Ice Streams B, C, D and E, Antarctica." Annals of Glaciology 27 (1998): 227–30. http://dx.doi.org/10.3189/1998aog27-1-227-230.

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A model of error and variability in snow arrumulation rate is formulated to determine the reliability of accumulation-rate point measurements as regional and temporal means. The uncertainty model is applied to data from 70 shallow firn cores covering the Ross Sea drainage of the West Antarctic ice sheet. The model includes measurement error, local spatial variation and time variation. Average uncertainly in accumulation rate is 0.016maice equivalent or about 15%. Considering that measurement and depositional uncertainties are independent from core-to-core, an uncertainty of 0.01 m a−1 applies
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8

Shen, Y., and N. A. Duffie. "An Uncertainty Analysis Method for Coordinate Referencing in Manufacturing Systems." Journal of Engineering for Industry 117, no. 1 (1995): 42–48. http://dx.doi.org/10.1115/1.2803276.

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Accurate and consistent transformations between design and manufacturing coordinate systems are essential for high quality part production. Fixturing and coordinate measurement are common coordinate referencing techniques which are used to locate points or measurement points on workpiece reference surfaces to establish these coordinate transformations. However, uncertainty sources such as geometric form deviations in workpiece surfaces, tolerances on fixture locators, and errors in coordinate measurements exist. A result is that coordinate transformations established using the locating and mea
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9

Xu, Ning, Jing Fang Guo, and Jin Fang Han. "Measurements and Mathematical Characterization of Uncertain Information." Applied Mechanics and Materials 530-531 (February 2014): 591–96. http://dx.doi.org/10.4028/www.scientific.net/amm.530-531.591.

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This paper, the problems of mathematical characteristics and measurements for three kind of uncertainty information are descussed by means of the logical analysis method. Firstly, By virtue of the analysis for the importance of uncertain information research in scientific development, a research chain: uncertainty informationinformation theorycomplexity is presented. Secondly, the mathematical characterization and measurements for three kind of uncertainty information are obtained in terms of the characteristic analysis for uncertain information .
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10

Clasing, Robert, and Enrique Muñoz. "Estimating the Optimal Velocity Measurement Time in Rivers’ Flow Measurements: An Uncertainty Approach." Water 10, no. 8 (2018): 1010. http://dx.doi.org/10.3390/w10081010.

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The gauging process can be very extensive and time-consuming due to the procedures involved. Since velocity measurement time (VMT) is one of the main variables that would allow gauging times to be reduced, this study seeks to determine the optimal point VMT and, thereby, reduce the overall gauging time. An uncertainty approach based on the USGS area-velocity method and the GLUE methodology applied to eight gauging samples taken in shallow rivers located in South-central Chile was used. The average point velocity was calculated as the average of 1 to 70 randomly selected instant velocity sample
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Chuangui, Yang, Liu Xingbao, Yue Xiaobin, et al. "Uncertainty analysis and evaluation of measurement of the positioning repeatability for industrial robots." Industrial Robot: An International Journal 45, no. 4 (2018): 492–504. http://dx.doi.org/10.1108/ir-06-2017-0109.

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PurposeThis paper aims to solve the nonlinear problem in the uncertainty evaluation of the measurement of the positioning repeatability (RP) of industrial robots and provide guidance to restrict the uncertainty of measurement of RP (uRP).Design/methodology/approachFirstly, some uncertain sources existing in the measurement procedure of RP are identified. Secondly, the probability distribution function (PDF) of every source is established on the basis of its measurements. Some spatial combined normal distributions are adopted. Then, a method, based on Monte Carlo method (MCM) and established me
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Zaporozhets, Artur, and Denys Kataiev. "Method of compensating for instrumental uncertainty in measurements using a coordinate measuring ARM." System Research in Energy 2024, no. 1 (2024): 45–53. http://dx.doi.org/10.15407/srenergy2024.01.045.

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Due to the influence of dynamic factors in various measurement configurations, the degree of uncertainty in measurements using a Coordinate Measuring Arm (CMA) is directly related to the measurement configuration. However, existing models for compensating CMA errors do not account dynamic factors, which impose certain limits for improving the accuracy of CMAs. To solve this issue, a method for residual error correction based on a polynomial model for single-point measurements was proposed. The influence of the CMA configuration on the residual probe error was analyzed. To enhance accuracy, a p
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Narciso, João, Cristina Paixão Araújo, Leonardo Azevedo, Ruben Nunes, João Filipe Costa, and Amílcar Soares. "A Geostatistical Simulation of a Mineral Deposit using Uncertain Experimental Data." Minerals 9, no. 4 (2019): 247. http://dx.doi.org/10.3390/min9040247.

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In the geostatistical modeling and characterization of natural resources, the traditional approach for determining the spatial distribution of a given deposit using stochastic sequential simulation is to use the existing experimental data (i.e., direct measurements) of the property of interest as if there is no uncertainty involved in the data. However, any measurement is prone to error from different sources, for example from the equipment, the sampling method, or the human factor. It is also common to have distinct measurements for the same property with different levels of resolution and un
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Shi, Zhao Yao, Jia Chun Lin, and Michael Paul Krystek. "Uncertainty Analysis of Helical Deviation Measurements." Key Engineering Materials 437 (May 2010): 212–16. http://dx.doi.org/10.4028/www.scientific.net/kem.437.212.

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The helix is a complex geometrical element. During the process of a dynamical measurement of the helical deviations, many factors, including the machine and the environment, lead to measurement errors. Although ISO as well as national standards stipulate the tolerances and assessment methods for helical deviations, these standards contribute little to the uncertainty calculations concerning such measurements. According to the Guide to the Expression of Uncertainty in Measurement (GUM), all measurement results must have a stated uncertainty associated to them. But in most cases of helical devia
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15

Chornoivanenko, Kateryna, and Yevhen Povzlo. "EVALUATION OF MICROHARDNESS UNCERTAINTY COMPONENTS OF COMPOSITE MATERIAL." Measuring Equipment and Metrology 86, no. 2 (2025): 73–79. https://doi.org/10.23939/istcmtm2025.02.073.

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The study substantiates the necessity of evaluating measurement uncertainty in the context of product quality control. The evaluation of uncertainty in determining measurement accuracy provides an evidence-based approach to verifying whether the measured quality characteristic complies with established standards. The process of uncertainty evaluation in quality control is complex and labor-intensive, involving the identification of uncertainty sources, detection of correlations among input quantities, determination of probability distribution laws of influencing factors, calculation of sensiti
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Elnur Allahyarov, Elnur Allahyarov. "MEASUREMENT ERRORS OF THE FLOW OF NATURAL GAS IN UNCERTAINTY CONDITIONS." PAHTEI-Procedings of Azerbaijan High Technical Educational Institutions 145, no. 05 (2024): 67–76. https://doi.org/10.36962/pahtei149052024-67.

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The relevance of the topic related to improving the processing of fuzzy information in the control and management system of the natural gas transportation process is substantiated. Factors influencing the errors of instruments that provide gas flow measurement in gas transportation process monitoring and control systems, additional errors arising depending on the influence of the environment, gas content, humidity and hydration in the process of gas flow measurement are determined, and ways and methods for their elimination are analyzed. An analysis of current literature sources, which examine
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17

Ritchie, Nicholas W. M. "Embracing Uncertainty: Modeling the Standard Uncertainty in Electron Probe Microanalysis—Part I." Microscopy and Microanalysis 26, no. 3 (2020): 469–83. http://dx.doi.org/10.1017/s1431927620001555.

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AbstractThis is the first in a series of articles which present a new framework for computing the standard uncertainty in electron excited X-ray microanalysis measurements. This article will discuss the framework and apply it to a handful of simple, but useful, subcomponents of the larger problem. Subsequent articles will handle more complex aspects of the measurement model. The result will be a framework in which sophisticated and practical models of the uncertainty for real-world measurements. It will include many long overlooked contributions like surface roughness and coating thickness. Th
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18

Fischer, Andreas. "Limiting Uncertainty Relations in Laser-Based Measurements of Position and Velocity Due to Quantum Shot Noise." Entropy 21, no. 3 (2019): 264. http://dx.doi.org/10.3390/e21030264.

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With the ongoing progress of optoelectronic components, laser-based measurement systems allow measurements of position as well as displacement, strain and velocity with unbeatable speed and low measurement uncertainty. The performance limit is often studied for a single measurement setup, but a fundamental comparison of different measurement principles with respect to the ultimate limit due to quantum shot noise is rare. For this purpose, the Cramér-Rao bound is described as a universal information theoretic tool to calculate the minimal achievable measurement uncertainty for different measure
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19

KOIKE, Masayoshi. "Expression of Uncertainty in Measuremnet. Evaluation Methods of Uncertainty in Measurement." Journal of the Japan Society for Precision Engineering 65, no. 7 (1999): 941–44. http://dx.doi.org/10.2493/jjspe.65.941.

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20

Pegoraro, Marco, Merih Seran Uysal, and Wil M. P. van der Aalst. "Efficient Time and Space Representation of Uncertain Event Data." Algorithms 13, no. 11 (2020): 285. http://dx.doi.org/10.3390/a13110285.

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Process mining is a discipline which concerns the analysis of execution data of operational processes, the extraction of models from event data, the measurement of the conformance between event data and normative models, and the enhancement of all aspects of processes. Most approaches assume that event data is accurately captured behavior. However, this is not realistic in many applications: data can contain uncertainty, generated from errors in recording, imprecise measurements, and other factors. Recently, new methods have been developed to analyze event data containing uncertainty; these te
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21

Wang, Wei, Guohua Liu, and Dingjia Liu. "Chebyshev Similarity Match between Uncertain Time Series." Mathematical Problems in Engineering 2015 (2015): 1–13. http://dx.doi.org/10.1155/2015/105128.

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In real application scenarios, the inherent impreciseness of sensor readings, the intentional perturbation of privacy-preserving transformations, and error-prone mining algorithms cause much uncertainty of time series data. The uncertainty brings serious challenges for the similarity measurement of time series. In this paper, we first propose a model of uncertain time series inspired by Chebyshev inequality. It estimates possible sample value range and central tendency range in terms of sample estimation interval and central tendency estimation interval, respectively, at each time slot. In com
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Pillarz, Marc, Axel von Freyberg, Dirk Stöbener, and Andreas Fischer. "Gear Shape Measurement Potential of Laser Triangulation and Confocal-Chromatic Distance Sensors." Sensors 21, no. 3 (2021): 937. http://dx.doi.org/10.3390/s21030937.

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The demand for extensive gear shape measurements with single-digit µm uncertainty is growing. Tactile standard gear tests are precise but limited in speed. Recently, faster optical gear shape measurement systems have been examined. Optical gear shape measurements are challenging due to potential deviation sources such as the tilt angles between the surface normal and the sensor axis, the varying surface curvature, and the surface properties. Currently, the full potential of optical gear shape measurement systems is not known. Therefore, laser triangulation and confocal-chromatic gear shape mea
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Zhang, Ya, Jian Zhong Fu, and Zi Chen Chen. "Application of Monte Carlo Method in the Measurement Process Design According to next Generation of GPS." Advanced Materials Research 189-193 (February 2011): 96–101. http://dx.doi.org/10.4028/www.scientific.net/amr.189-193.96.

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Measurement process has an important impact on the reliability of measurement. The reliability of measurement is weighed by measurement uncertainty. It is very difficult to estimate the uncertainty in the indirect measurements according to the transfer formula given by GUM (Guide to the Expression of Uncertainty in Measurement). Monte Carlo method was proposed to solve the problem of uncertainty estimation and seek suitable measurement process in the indirect measurements. The mathematical relation between the measurand and the direct measures is established firstly. Then Monte Carlo method wa
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Vulevic, Branislav, Cedomir Belic, and Luka Perazic. "Measurement uncertainty in broadband radiofrequency radiation level measurements." Nuclear Technology and Radiation Protection 29, no. 1 (2014): 53–57. http://dx.doi.org/10.2298/ntrp1401053v.

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For the evaluation of measurement uncertainty in the measurement of broadband radio frequency radiation, in this paper we propose a new approach based on the experience of the authors of the paper with measurements of radiofrequency electric field levels conducted in residential areas of Belgrade and over 35 municipalities in Serbia. The main objective of the paper is to present practical solutions in the evaluation of broadband measurement uncertainty for the in-situ RF radiation levels.
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Bernstein, Johannes, and Albert Weckenmann. "Measurement uncertainty evaluation of optical multi-sensor-measurements." Measurement 45, no. 10 (2012): 2309–20. http://dx.doi.org/10.1016/j.measurement.2011.10.032.

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Ray, Jr., Elden F. "Measurement uncertainty in conducting environmental sound level measurements." Noise Control Engineering Journal 48, no. 1 (2000): 8. http://dx.doi.org/10.3397/1.2827978.

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27

de la Torre, Juan Carlos, Pablo Pavón-Domínguez, Bernabé Dorronsoro, Pedro L. Galindo, and Patricia Ruiz. "Multi-Signal Multifractal Detrended Fluctuation Analysis for Uncertain Systems —Application to the Energy Consumption of Software Programs in Microcontrollers." Fractal and Fractional 7, no. 11 (2023): 794. http://dx.doi.org/10.3390/fractalfract7110794.

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Uncertain systems are those wherein some variability is observed, meaning that different observations of the system will produce different measurements. Studying such systems demands the use of statistical methods over multiple measurements, which allows overcoming the uncertainty, based on the premise that a single measurement is not representative of the system’s behavior. In such cases, the current multifractal detrended fluctuation analysis (MFDFA) method cannot offer confident conclusions. This work presents multi-signal MFDFA (MS-MFDFA), a novel methodology for accurately characterizing
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Bekmirzayevich, Atamirzaev Nodirbek, and Khamidov Doniyor Bakhodirovich. "SOURCES OF UNCERTAINTY IN MEASUREMENTS OF PHYSICOCHEMICAL QUANTITIES." International Journal of Advance Scientific Research 05, no. 12 (2024): 135–42. https://doi.org/10.37547/ijasr-04-12-21.

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The article discusses the main sources of uncertainty in measurements of physicochemical quantities, which are an integral part of any experimental research in physics and chemistry. Various factors affecting the accuracy and reliability of measurement results are analyzed, including errors in instrumental systems, the influence of external conditions, and the human factor. Particular attention is paid to methods for estimating and minimizing uncertainty, such as the use of standards, instrument calibration, and statistical data processing. The work also provides examples of practical measurem
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Heltzel, Robert, Derek Johnson, Mohammed Zaki, Aron Gebreslase, and Omar I. Abdul-Aziz. "Understanding the Accuracy Limitations of Quantifying Methane Emissions Using Other Test Method 33A." Environments 9, no. 4 (2022): 47. http://dx.doi.org/10.3390/environments9040047.

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Researchers have utilized Other Test Method (OTM) 33A to quantify methane emissions from natural gas infrastructure. Historically, errors have been reported based on a population of measurements compared to known controlled releases of methane. These errors have been reported as 2σ errors of ±70%. However, little research has been performed on the minimum attainable uncertainty of any one measurement. We present two methods of uncertainty estimation. The first was the measurement uncertainty of the state-of-the-art equipment, which was determined to be ±3.8% of the estimate. This was determine
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Fan, En, Weixin Xie, Jihong Pei, Keli Hu, Xiaobin Li, and Vid Podpečan. "Improved Joint Probabilistic Data Association (JPDA) Filter Using Motion Feature for Multiple Maneuvering Targets in Uncertain Tracking Situations." Information 9, no. 12 (2018): 322. http://dx.doi.org/10.3390/info9120322.

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To track multiple maneuvering targets in cluttered environments with uncertain measurement noises and uncertain target dynamic models, an improved joint probabilistic data association-fuzzy recursive least squares filter (IJPDA-FRLSF) is proposed. In the proposed filter, two uncertain models of measurements and observed angles are first established. Next, these two models are further employed to construct an additive fusion strategy, which is then utilized to calculate generalized joint association probabilities of measurements belonging to different targets. Moreover, the obtained probabiliti
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Vasilevskyi, Oleksandr. "Methodology for assessing the accuracy of a measuring instrument for the ion concentration using its measurement model." Acta IMEKO 14, no. 1 (2025): 1–10. https://doi.org/10.21014/actaimeko.v14i1.1938.

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To analyze the metrological characteristics of measuring instruments, it was proposed to expand the conversion equation into a Taylor series. The components of this series yield equations that describe the instrument’s sensitivity as well as its additive and multiplicative errors. Additionally, a mathematical model is introduced, allowing the conversion of these additive and multiplicative errors into measurement uncertainty. The proposed models were tested using a measurement model for ion concentration based on ion-selective electrodes. The measurement accuracy assessment methodology demonst
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SICOE, Gina Mihaela. "Uncertainty of measurement -Important parameter for product conformity assessment." University of Pitesti. Scientific Bulletin - Automotive Series 30, no. 1 (2020): 1–6. http://dx.doi.org/10.26825/bup.ar.2020.008.

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The measurements are widely used to ensure the quality of products. It is known that the measurement process is influenced by many factors which lead to measurement errors. The uncertainty of measurement is an essential parameter because the expression of the results accompanied by uncertainty offers more confidence in the results. The research presented in this article focuses on methods forcalculating uncertainty and explaining the rules for making decisions when we use uncertainty. Two case studies are presented, one for dimensional measurements and the other for the estimation of the uncer
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Shojaie, Seyed Ehsan, Seyed Jafar Sadjadi, and Reza Tavakkoli-Moghaddam. "Malmquist productivity index for two-stage network systems under data uncertainty: A real-world case study." PLOS ONE 19, no. 7 (2024): e0307277. http://dx.doi.org/10.1371/journal.pone.0307277.

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The measurement of productivity change in decision-making units (DMUs) is crucial for assessing their performance and supporting efficient decision-making processes. In this paper, we propose a new approach for measuring productivity change using the Malmquist productivity index (MPI) within the context of two-stage network data envelopment analysis (TSNDEA) under data uncertainty. The two-stage network structure represents a realistic model for DMUs in various fields, such as insurance companies, bank branches, and mutual funds. However, traditional DEA models do not adequately address the is
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Stefopoulos, Georgios, Stylianos Rigas, Panagiotis Tsirikoglou, and Anestis I. Kalfas. "Evaluation of pressure and species concentration measurement using uncertainty propagation." E3S Web of Conferences 345 (2022): 02008. http://dx.doi.org/10.1051/e3sconf/202234502008.

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This paper presents a probabilistic uncertainity evaluation method as described in the Guide to the Expression of Uncertainty in Measurements (GUM) and its application to probe measurements on pressure and fuel concentration. All sources of unceratinties are expressed as probability distributions. Consequently, the overall standard uncertainty of the quantity can be calculated using the Gaussian error propagation formula. The result of the uncertainty evaluation yields the most probable value of the measurand and describes its distribution in terms of rectangular (standard uncertainty) or gaus
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Shrestha, Rajesh R., and Slobodan P. Simonovic. "Fuzzy set theory based methodology for the analysis of measurement uncertainties in river discharge and stage." Canadian Journal of Civil Engineering 37, no. 3 (2010): 429–40. http://dx.doi.org/10.1139/l09-151.

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The discharge and stage measurements in a river system are characterized by a number of sources of uncertainty, which affects the accuracy of a rating curve established from measurements. This paper presents a fuzzy set theory based methodology for consideration of different sources of uncertainty in the stage and discharge measurements and their aggregation into a combined uncertainty. The uncertainty in individual measurements of stage and discharge is represented using triangular fuzzy numbers, and their spread is determined according to the International Organization for Standardization (I
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Kaslis, Kyriakos, Samel Arslanagic, and Olav Breinbjerg. "Accurate and Fast Numerical Estimation of Pattern Uncertainty for Mechanical Alignment Errors in High-Accuracy Spherical Near-Field Antenna Measurements." Sensors 25, no. 13 (2025): 4227. https://doi.org/10.3390/s25134227.

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Every experimental measurement is affected by random and/or systematic error sources, causing the measurand to have an associated uncertainty quantified in terms of a confidence interval and confidence level. For high-accuracy spherical near-field antenna measurements, there are approximately 20 error sources whose individual contributions to the measurand uncertainty must be estimated for each antenna under test; thus, this uncertainty estimation is a required task in each measurement project. The error sources associated with the mechanical alignment of the antenna under test are of particul
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Hall, Blair D. "The GUM Tree Calculator: A Python Package for Measurement Modelling and Data Processing with Automatic Evaluation of Uncertainty." Metrology 2, no. 1 (2022): 128–49. http://dx.doi.org/10.3390/metrology2010009.

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There is currently interest in the digitalisation of metrology because technologies that can measure, analyse, and make critical decisions autonomously are beginning to emerge. The notions of metrological traceability and measurement uncertainty should be supported, following the recommendations in the Guide to the Expression of Uncertainty in Measurement (GUM). However, GUM offers no specific guidance. Here, we report on a Python package that implements algorithmic data processing using ‘uncertain numbers’, which satisfy the general criteria in GUM for an ideal format to express uncertainty.
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Helko, van den Brom, van Leeuwen Ronald, and Hornecker Ralph. "Characterization of DC Current Sensors With AC Distortion for Railway Applications." IEEE Transactions on Instrumentation and Measurement 68, no. 3 (2019): 2084–90. https://doi.org/10.1109/TIM.2019.2898014.

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To assess the reliability of dc energy measurement equipment on-board trains, a setup was developed to characterize current transducers under realistic operating conditions. The operating principle is based on a current ratio measurement technique. The reference sensor is a high-precision zero-flux current transducer in combination with a broadband high-precision current shunt. The influence of ac distortion on this reference sensor was found to be within a few parts in 10&nbsp;<sup>6</sup>&nbsp;using an initial version of the setup, in which ac distortion was applied through a separate windin
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Ritchie, Nicholas W. M. "Embracing Uncertainty: Modeling Uncertainty in EPMA—Part II." Microscopy and Microanalysis 27, no. 1 (2021): 74–89. http://dx.doi.org/10.1017/s1431927620024691.

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AbstractThis, the second in a series of articles present a new framework for considering the computation of uncertainty in electron excited X-ray microanalysis measurements, will discuss matrix correction. The framework presented in the first article will be applied to the matrix correction model called “Pouchou and Pichoir's Simplified Model” or simply “XPP.” This uncertainty calculation will consider the influence of beam energy, take-off angle, mass absorption coefficient, surface roughness, and other parameters. Since uncertainty calculations and measurement optimization are so intimately
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Zhou, Jin, Akira Mita, and Liu Mei. "An Improved Bayesian Structural Identification Using the First Two Derivatives of Log-Likelihood Measure." Journal of Structures 2015 (March 17, 2015): 1–9. http://dx.doi.org/10.1155/2015/236475.

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The posterior density of structural parameters conditioned by the measurement is obtained by a differential evolution adaptive Metropolis algorithm (DREAM). The surface of the formal log-likelihood measure is studied considering the uncertainty of measurement error to illustrate the problem of equifinality. To overcome the problem of equifinality, the first two derivatives of the log-likelihood measure are proposed to formulate a new informal likelihood measure for the sake of improving the accuracy of the estimator. Moreover, the proposed measure also reduces the standard deviation (uncertain
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He, Qin Shu, Shi Fu Xiao, and Xin En Liu. "Application of ANN and SVM for Uncertainty Quantification and Propagation." Advanced Materials Research 230-232 (May 2011): 192–96. http://dx.doi.org/10.4028/www.scientific.net/amr.230-232.192.

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All measurements have error that obscures the true value. The error creates uncertainty about the quality of the measured value, which is requiring testing and calibration laboratories to provide estimates of uncertainty with their measurements. Measurement uncertainties include input uncertainty, the propagation of input uncertainty, the output uncertainty and the systematic error uncertainty. Several methods for estimating the uncertainty of measurements have been introduced for different kinds of uncertainty quantification, and two data mining methodologies-Artificial Neural Network (ANN) a
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Kristiansen, Jesper. "The Guide to Expression of Uncertainty in Measurement Approach for Estimating Uncertainty." Clinical Chemistry 49, no. 11 (2003): 1822–29. http://dx.doi.org/10.1373/clinchem.2003.021469.

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Abstract Background: The aim of the Guide to Expression of Uncertainty in Measurement (GUM) is to harmonize the different practices for estimating and reporting uncertainty of measurement. Although there are clear advantages in having a common approach for evaluating uncertainty, application of the GUM approach to chemistry measurements is not straightforward. In the above commentary, Krouwer suggests that the GUM approach should not be applied to diagnostic assays, because (a) the quality of diagnostic assays is to low, and (b) the GUM uncertainty intervals are too narrow to predict the outli
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Zaytsev, Sergey V. "UNCERTAINTY ASSESSMENT AND TOOLS FOR OPTIMIZING REGIONAL TAX POLICY AND APPLYING A REGULARIZING BAYESIAN APPROACH." EKONOMIKA I UPRAVLENIE: PROBLEMY, RESHENIYA 5/7, no. 146 (2024): 217–28. http://dx.doi.org/10.36871/ek.up.p.r.2024.05.07.025.

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Measurement uncertainty is a quantitative measure of the quality of measurement results, without which they cannot be compared with each other, with specified reference values or with a reference point. Uncertainty assessment is essential to ensure metrological traceability of measurement results and to ensure accuracy and reliability. In addition, measurement uncertainty should be taken into account whenever a decision is made based on measurement results, for example in acceptance/rejection or transmission, deviation processes. The purpose of this article is to consider the main aspects of u
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Kim, Pyung Soo. "Selective Finite Memory Structure Filtering Using the Chi-Square Test Statistic for Temporarily Uncertain Systems." Applied Sciences 9, no. 20 (2019): 4257. http://dx.doi.org/10.3390/app9204257.

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In this paper, a finite memory structure (FMS) filtering with two kinds of measurement windows is proposed using the chi-square test statistic to cover nominal systems as well as temporarily uncertain systems. First, the simple matrix form for the FMS filter is developed from the conditional density of the current state given finite past measurements. Then, one of the two FMS filters, the primary FMS filter or the secondary FMS filter, with different measurement windows is operated selectively according to the presence or absence of uncertainty, to obtain a valid estimate. The primary FMS filt
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Logar, John. "Accounting for Measurement Uncertainty and Variability in Dose Measurements." Biomedical Instrumentation & Technology 50, s3 (2016): 3–8. http://dx.doi.org/10.2345/0899-8205-50.s3.3.

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Moffat, R. J. "The measurement chain and validation of experimental measurements." ACTA IMEKO 3, no. 1 (2014): 16. http://dx.doi.org/10.21014/acta_imeko.v3i1.196.

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&lt;p&gt;This is a reissue of a paper which appeared in ACTA IMEKO 1973, Proceedings of the 6th Congress of the International Measurement Confederation, "Measurement and instrumentation", 17.-23.6.1973, Dresden, vol. 1, pp. 45-53.&lt;/p&gt;&lt;p&gt;The paper witnesses the sophisticated discussion that, well before the publication of the Guide to the Expression of Uncertainty in Measurement (GUM), was active in the measurement science community around the subject of error and uncertainty, and its consequences on the structure of the measuring process and the way it is performed.&lt;/p&gt;
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Machado, João P. Z., Gabriel Thaler, Antonio L. S. Pacheco, and Rodolfo C. C. Flesch. "Impact of Angular Speed Calculation Methods from Encoder Measurements on the Test Uncertainty of Electric Motor Efficiency." Metrology 4, no. 2 (2024): 164–80. http://dx.doi.org/10.3390/metrology4020011.

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The imperative need to advance the development of more efficient electric motors requires the meticulous measurement of small increments while minimizing the associated uncertainty in dynamometer tests. One of the key variables in such tests is the angular speed, which is typically obtained based on encoder measurements. This paper proposes a systematic measurement uncertainty assessment method based on the Guide to the Expression of Uncertainty for the two most widely used methods for angular speed measurement, namely, the frequency and period methods. In addition, the impact of the angular s
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Huang Xinxin, 黄新欣, 任永杰 Ren Yongjie, 马可瑶 Ma Keyao та 牛志远 Niu Zhiyuan. "基于测量不确定度的视觉惯性自适应融合算法". Acta Optica Sinica 43, № 21 (2023): 2112003. http://dx.doi.org/10.3788/aos230851.

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Mueller, Thomas, Andreas Poesch, and Eduard Reithmeier. "Measurement Uncertainty of Microscopic Laser Triangulation on Technical Surfaces." Microscopy and Microanalysis 21, no. 6 (2015): 1443–54. http://dx.doi.org/10.1017/s1431927615015330.

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AbstractLaser triangulation is widely used to measure three-dimensional structure of surfaces. The technique is suitable for macroscopic and microscopic surface measurements. In this paper, the measurement uncertainty of laser triangulation is investigated on technical surfaces for microscopic measurement applications. Properties of technical surfaces are, for example, reflectivity, surface roughness, and the presence of scratches and pores. These properties are more influential in the microscopic laser triangulation than in the macroscopic one. In the Introduction section of this paper, the m
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Nabi Iskandarov, Elmin Baghishov, Nabi Iskandarov, Elmin Baghishov, and Elchin Isgandarzada Elchin Isgandarzada. "THE IMPORTANCE OF UNCERTAINTY DETERMINATION DURING TECHNOLOGICAL TEMPERATURE MEASUREMENTS." PIRETC-Proceeding of The International Research Education & Training Centre 27, no. 06 (2023): 05–11. http://dx.doi.org/10.36962/piretc27062023-05.

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As we know, one of the trends in the development of metrological control activities of enterprises and organizations is the calibration of measuring instruments through the assessment of measurement uncertainty. This process is an important factor to increase the accuracy of measurements, ensuring product quality, minimize the amount of waste products and increase the competitiveness of the organization. Such a parameter can be, for example, the standard deviation (mean squared error of the measurement results) or a number that is exactly divisible by it, or the width of the confidence interva
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