Uncertainty Calibration And Probability
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Uncertainty Calibration And Probability
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Author : Cornelius Frank Dietrich
language : en
Publisher:
Release Date : 1973
Uncertainty Calibration And Probability written by Cornelius Frank Dietrich and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Business & Economics categories.
Uncertainty Calibration And Probability
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Author : C.F Dietrich
language : en
Publisher: Routledge
Release Date : 2017-07-12
Uncertainty Calibration And Probability written by C.F Dietrich and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-12 with Science categories.
All measurements are subject to error because no quantity can be known exactly; hence, any measurement has a probability of lying within a certain range. The more precise the measurement, the smaller the range of uncertainty. Uncertainty, Calibration and Probability is a comprehensive treatment of the statistics and methods of estimating these calibration uncertainties. The book features the general theory of uncertainty involving the combination (convolution) of non-Gaussian, student t, and Gaussian distributions; the use of rectangular distributions to represent systematic uncertainties; and measurable and nonmeasurable uncertainties that require estimation. The author also discusses sources of measurement errors and curve fitting with numerous examples of uncertainty case studies. Many useful tables and computational formulae are included as well. All formulations are discussed and demonstrated with the minimum of mathematical knowledge assumed. This second edition offers additional examples in each chapter, and detailed additions and alterations made to the text. New chapters consist of the general theory of uncertainty and applications to industry and a new section discusses the use of orthogonal polynomials in curve fitting. Focusing on practical problems of measurement, Uncertainty, Calibration and Probability is an invaluable reference tool for R&D laboratories in the engineering/manufacturing industries and for undergraduate and graduate students in physics, engineering, and metrology.
Measurement Uncertainties
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Author : S. V. Gupta
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-01-13
Measurement Uncertainties written by S. V. Gupta and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-01-13 with Technology & Engineering categories.
This book fulfills the global need to evaluate measurement results along with the associated uncertainty. In the book, together with the details of uncertainty calculations for many physical parameters, probability distributions and their properties are discussed. Definitions of various terms are given and will help the practicing metrologists to grasp the subject. The book helps to establish international standards for the evaluation of the quality of raw data obtained from various laboratories for interpreting the results of various national metrology institutes in an international inter-comparisons. For the routine calibration of instruments, a new idea for the use of pooled variance is introduced. The uncertainty calculations are explained for (i) independent linear inputs, (ii) non-linear inputs and (iii) correlated inputs. The merits and limitations of the Guide to the Expression of Uncertainty in Measurement (GUM) are discussed. Monte Carlo methods for the derivation of the output distribution from the input distributions are introduced. The Bayesian alternative for calculation of expanded uncertainty is included. A large number of numerical examples is included.
Decision Making And Change In Human Affairs
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Author : H. Jungermann
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Decision Making And Change In Human Affairs written by H. Jungermann and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Social Science categories.
It is only just recently that people have the tools to judge how well they are doing when making decisions. These tools were conceptualized in the seventeenth century. Since then many people have worked to sharpen the concepts, and to explore how these can be applied further. The problems of decision-making and the theory developed correspondingly have drawn the interest of mathematicians, psychologists, statisticians, economists, philosophers, organizational experts, sociologists, not only for their general relevance, but also for a more intrinsic fascination. There are quite a few institutionalized activities to disseminate results and stimulate research in decision-making. For about a decade now a European organizational structure, centered mainly around the psy chological interest in decision-making. There have been conferences in Hamburg, Amsterdam, Uxbridge, Rome and Darmstadt. Conference papers have been partly published+. The organization has thus stabilized, and its re latively long history makes it interesting to see what kind of developments occurred, within the area of interest.
Probability And Bayesian Modeling
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Author : Jim Albert
language : en
Publisher: CRC Press
Release Date : 2019-12-06
Probability And Bayesian Modeling written by Jim Albert and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-06 with Mathematics categories.
Probability and Bayesian Modeling is an introduction to probability and Bayesian thinking for undergraduate students with a calculus background. The first part of the book provides a broad view of probability including foundations, conditional probability, discrete and continuous distributions, and joint distributions. Statistical inference is presented completely from a Bayesian perspective. The text introduces inference and prediction for a single proportion and a single mean from Normal sampling. After fundamentals of Markov Chain Monte Carlo algorithms are introduced, Bayesian inference is described for hierarchical and regression models including logistic regression. The book presents several case studies motivated by some historical Bayesian studies and the authors’ research. This text reflects modern Bayesian statistical practice. Simulation is introduced in all the probability chapters and extensively used in the Bayesian material to simulate from the posterior and predictive distributions. One chapter describes the basic tenets of Metropolis and Gibbs sampling algorithms; however several chapters introduce the fundamentals of Bayesian inference for conjugate priors to deepen understanding. Strategies for constructing prior distributions are described in situations when one has substantial prior information and for cases where one has weak prior knowledge. One chapter introduces hierarchical Bayesian modeling as a practical way of combining data from different groups. There is an extensive discussion of Bayesian regression models including the construction of informative priors, inference about functions of the parameters of interest, prediction, and model selection. The text uses JAGS (Just Another Gibbs Sampler) as a general-purpose computational method for simulating from posterior distributions for a variety of Bayesian models. An R package ProbBayes is available containing all of the book datasets and special functions for illustrating concepts from the book. A complete solutions manual is available for instructors who adopt the book in the Additional Resources section.
2021 Ieee Intelligent Vehicles Symposium Iv
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Author : IEEE Staff
language : en
Publisher:
Release Date : 2021-07-11
2021 Ieee Intelligent Vehicles Symposium Iv written by IEEE Staff and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-11 with categories.
The 32nd IEEE Intelligent Vehicles Symposium (IV2020) is a premier annual technical forum sponsored by the IEEE Intelligent Transportation Systems Society (ITSS) It brings together researchers and practitioners from universities, industry, and government agencies worldwide to share and discuss the latest advances in theory and technology related to intelligent vehicles Papers concerning all aspects of intelligent vehicles as well as proposals for workshops and specials sessions are invited for IV2021 Additionally, related technical Demonstrations and Exhibiti
Handbook Of Metrology And Applications
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Author : Dinesh K. Aswal
language : en
Publisher: Springer Nature
Release Date : 2023-08-23
Handbook Of Metrology And Applications written by Dinesh K. Aswal and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-08-23 with Technology & Engineering categories.
This handbook provides comprehensive and up-to-date information on the topic of scientific, industrial and legal metrology. It discusses the state-of-art review of various metrological aspects pertaining to redefinition of SI Units and their implications, applications of time and frequency metrology, certified reference materials, industrial metrology, industry 4.0, metrology in additive manufacturing, digital transformations in metrology, soft metrology and cyber security, optics in metrology, nano-metrology, metrology for advanced communication, environmental metrology, metrology in biomedical engineering, legal metrology and global trade, ionizing radiation metrology, advanced techniques in evaluation of measurement uncertainty, etc. The book has contributed chapters from world’s leading metrologists and experts on the diversified metrological theme. The internationally recognized team of editors adopt a consistent and systematic approach and writing style, including ample cross reference among topics, offering readers a user-friendly knowledgebase greater than the sum of its parts, perfect for frequent consultation. Moreover, the content of this volume is highly interdisciplinary in nature, with insights from not only metrology but also mechanical/material science, optics, physics, chemistry, biomedical and more. This handbook is ideal for academic and professional readers in the traditional and emerging areas of metrology and related fields.
Advanced Mathematical And Computational Tools In Metrology And Testing Xi
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Author : Alistair B Forbes
language : en
Publisher: World Scientific
Release Date : 2018-10-16
Advanced Mathematical And Computational Tools In Metrology And Testing Xi written by Alistair B Forbes and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-16 with Mathematics categories.
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.
Design Decisions Under Uncertainty With Limited Information
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Author : Efstratios Nikolaidis
language : en
Publisher: CRC Press
Release Date : 2011-02-18
Design Decisions Under Uncertainty With Limited Information written by Efstratios Nikolaidis and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-02-18 with Technology & Engineering categories.
Today's business environment involves design decisions with significant uncertainty. To succeed, decision-makers should replace deterministic methods with a risk-based approach that accounts for the decision maker‘s risk tolerance. In many problems, it is impractical to collect data because rare or one-time events are involved. Therefore, we need a
Molecular Dynamics Probability And Uncertainty
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Author : Peter V. Coveney
language : en
Publisher: Oxford University Press
Release Date : 2025-05-15
Molecular Dynamics Probability And Uncertainty written by Peter V. Coveney and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-05-15 with Science categories.
Embark on a fascinating exploration of molecular dynamics, which combines the authors' new probabilistic interpretation with cutting-edge simulations, some of which are performed on the largest supercomputers on our planet. From fundamental principles to innovative applications, this book covers the rich tapestry of molecular dynamics and its intersections with biological and medical sciences, materials science and engineering, and artificial intelligence, alongside uncertainty quantification. This enables the authors to highlight the critical role of molecular dynamics in delivering actionable outcomes for drug discovery, materials design and beyond. Beginning with a solid introduction to the intricate world of molecular dynamics, the book goes on to describe its modern probabilistic formulation. It investigates ensemble-based molecular dynamics simulations and free energies, uncovering both the way that ensemble techniques revolutionize simulation methodologies and how they empower researchers to generate new insights. Further, the book explores the exciting realm of simulations for advanced materials and discusses verification, validation and uncertainty quantification, illuminating the synergies between molecular dynamics and artificial intelligence and their potential for transformative breakthroughs. Whether you are a seasoned researcher seeking to expand your knowledge or a curious student eager to investigate the complexities of molecular dynamics, this book serves as an indispensable resource, challenging conventional approaches, offering fresh perspectives and unlocking new insights into real-world problems in this captivating field.