Uncertainty, calibration, and probability : the statistics of scientific and industrial measurement
著者
書誌事項
Uncertainty, calibration, and probability : the statistics of scientific and industrial measurement
（The Adam Hilger series on measurement science and technology）
A. Hilger, 1991
2nd ed
大学図書館所蔵 全6件
注記
Includes bibliographical references and index
内容説明・目次
内容説明
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.
目次
Uncertainties and frequency distributions. The Gaussian distribution. General distributions. Rectangular distributions. Applications. Distributions ancillary to the Gaussian. A general theory of uncertainty. The estimation of calibration uncertainties. Consistency and significance tests. Method of least squares. Theorems of Bernoulli and Stirling and the binomial, Poisson and hypergeometric distributions. Appendices. Bibliography. Index.
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