Generalized Gaussian Error CalculusSpringer Science & Business Media, 04.02.2010 - 301 Seiten This book addresses a rigorous, complete and self-consistent revision of the Gaussian error calculus. It integrates mathematics and its applications to physical measurements, and serves as a text for graduate students and a reference for researchers. |
Inhalt
Part II Generalized Gaussian Error Calculus | 22 |
Part III Error Propagation | 37 |
Part IV Essence of Metrology | 89 |
Part V Fitting of Straight Lines | 115 |
Part VI Fitting of Planes | 153 |
Part VII Fitting of Parabolas | 191 |
Part VIII Nonlinear Fitting | 225 |
Part IX Appendices | 243 |
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arithmetic means B₁ B₂ Bo,k components confidence ellipse confidence ellipsoid confidence intervals consider covariance matrix Data Simulation denote density design matrix empirical covariance empirical variance empirical variance-covariance matrix EP-region EPC hull equal systematic errors error equations estimators B1 expect expected value fs,i fs,y ƒs,x ƒs,y grand mean Hence input data least squares plane linear system localize the true localize the tuple measurand measurement uncertainties measuring errors metrology normally distributed ordinates orthogonal projection Overall Uncertainties parabola propagated systematic error random errors random variables repeated measurements respect security polygon security polyhedron solution vector ẞk theoretical variance tp(m tp(n traceability true parabola true straight line true value xo tuple uncertainty band unknown systematic errors worst-case estimation xo,i y-intercept Yo,i Yo,m µÿ ΟΦ ӘФ двк ду