In this book, Grabe illustrates the breakdown of traditional error calculus in the face of modern measurement techniques. Revising Gauß` error calculus ab initio, he treats random and unknown systematic errors on an equal footing from the outset. Furthermore, Grabe also proposes what may be called well defined measuring conditions, a prerequisite for defining confidence intervals that are consistent with basic statistical concepts. The resulting measurement uncertainties are as robust and reliable as required by modern-day science, engineering and technology.
Measurement Uncertainties in Science and Technology
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At the turn of the 19th century, Carl Friedrich Gauß founded error calculus by predicting the then unknown position of the planet Ceres. Ever since, error calculus has occupied a place at the heart of science. In this book, Grabe illustrates the breakdown of traditional error calculus in the face of modern measurement techniques. Revising Gauß’ error calculus ab initio, he treats random and unknown systematic errors on an equal footing from the outset. Furthermore, Grabe also proposes what may be called well defined measuring conditions, a prerequisite for defining confidence intervals that are consistent with basic statistical concepts. The resulting measurement uncertainties are as robust and reliable as required by modern-day science, engineering and technology.
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Inside This Book
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First Sentence:
To measure is to compare. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
empirical variance covariance matrix, unknown systematic errors, error calculus, weighted adjustment, worst case estimation, empirical covariance, theoretical covariance, uncertainty band, theoretical variances, empirical variances, confidence ellipsoids, uncertainty region, minimized sum, parent distribution, repeat measurements, least squares adjustment, solution vector, squares adjustments Key Phrases - Capitalized Phrases (CAPs): (learn more)
Basic Ideas of Measurement, Fisher Behrens New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
To measure is to compare. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
empirical variance covariance matrix, unknown systematic errors, error calculus, weighted adjustment, worst case estimation, empirical covariance, theoretical covariance, uncertainty band, theoretical variances, empirical variances, confidence ellipsoids, uncertainty region, minimized sum, parent distribution, repeat measurements, least squares adjustment, solution vector, squares adjustments Key Phrases - Capitalized Phrases (CAPs): (learn more)
Basic Ideas of Measurement, Fisher Behrens New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 11
books:
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- Probability, Random Variables and Stochastic Processes with Errata Sheet by Athanasios Papoulis in Back Matter
- Applied Regression Analysis (Wiley Series in Probability and Statistics) by Norman R. Draper in Back Matter
- Linear Algebra (Undergraduate Texts in Mathematics) by Larry Smith in Back Matter
- Linear Regression Analysis (Wiley Series in Probability and Statistics) by George A. F. Seber in Back Matter
- Linear Algebra and Its Applications by Gilbert Strang in Back Matter
See all 11 books this book cites
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