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Error analysis (Mathematics)

Most popular at the top

  • Generalized Least Squaresby Takeaki Kariya; Hiroshi Kurata

    John Wiley & Sons, Ltd. 2004; US$ 165.00

    Generalised Least Squares adopts a concise and mathematically rigorous approach.  It will provide an up-to-date self-contained introduction to the unified theory of generalized least squares estimations, adopting a concise and mathematically rigorous approach. The book covers in depth the 'lower and upper bounds approach', pioneered by the first author, which is widely regarded as a very powerful and useful tool for generalized least squares estimation, helping the reader develop their understanding of the theory. The book also contains exercises at the end of each chapter and applications to statistics, econometrics, and biometrics, enabling use for self-study or as a course text.   more...

  • A Posteriori Error Analysis via Duality Theoryby Weimin Han

    Springer-Verlag New York Inc 2006; US$ 134.00

    Provides a posteriori error analysis for mathematical idealizations in modeling boundary value problems, especially those arising in mechanical applications, and for numerical approximations of numerous nonlinear variational problems. Many examples are included to show the usefulness of the derived error estimates. more...

  • Data Analysis Using the Method of Least Squaresby John Wolberg

    Springer-Verlag Berlin and Heidelberg GmbH & Co. KG 2006; US$ 79.95

    Discusses linear and non-linear least squares, the use of experimental error estimates for data weighting, procedures to include prior estimates, methodology for selecting and testing models, prediction analysis, and some non-parametric methods. This book is useful for scientists, engineers, and students in science and engineering. more...

  • Error Calculus for Finance and Physicsby Nicolas Bouleau

    Walter de Gruyter, Inc. 2003; US$ 69.95

    Many recent advances in modelling within the applied sciences and engineering have focused on the increasing importance of sensitivity analyses. For a given physical, financial or environmental model, increased emphasis is now placed on assessing the consequences of changes in model outputs that result from small changes or errors in both the hypotheses and parameters. The approach proposed in this book is entirely new and features two main characteristics. Even when extremely small, errors possess biases and variances. The methods presented here are able, thanks to a specific differential calculus, to provide information about the correlation between errors in different parameters of the model, as well as information about the biases introduced... more...

  • Dealing with Uncertaintiesby Manfred Drosg

    Springer 2007; US$ 89.95

    Showing that uncertainties are the consequence of modern science rather than of measurements and stressing the importance of the deductive approach to uncertainties, this monograph proposes and explains a fresh approach for the analysis of uncertainties. It also discusses the weakness of using statistical weights in regression analysis. more...

  • Dealing with Uncertaintiesby Springer

    Springer 2009; US$ 159.00

    more...

  • Measurement Errorby Jane Binner; David Edgerton; Thomas Elger

    Emerald Group Publishing Limited 2009; US$ 134.95

    The conference, 'Measurement Error: Econometrics and Practice' was recently hosted by Aston University and organised jointly by researchers from Aston University and Lund University to highlight the enormous problems caused by measurement error in Economic and Financial data which often go largely unnoticed. Thanks to the sponsorship from Eurostat, a number of distinguished researchers were invited to present keynote lectures. Professor Arnold Zellner from University of Chicago shared his knowledge on measurement error in general; Professor William Barnett from the University of Kansas gave a lecture on implications of measurement error on monetary policy, whilst Dennis Fixler shared his knowledge on how statistical agencies deal with... more...

  • Measurement Error Modelsby Wayne A. Fuller

    John Wiley & Sons, Inc. 2009; US$ 210.00

    The Wiley-Interscience Paperback Series consists of selected books that have been made more accessible to consumers in an effort to increase global appeal and general circulation. With these new unabridged softcover volumes, Wiley hopes to extend the lives of these works by making them available to future generations of statisticians, mathematicians, and scientists. "The effort of Professor Fuller is commendable . . . [the book] provides a complete treatment of an important and frequently ignored topic. Those who work with measurement error models will find it valuable. It is the fundamental book on the subject, and statisticians will benefit from adding this book to their collection or to university or departmental libraries." -Biometrics... more...

  • Measurement Errorby John P. Buonaccorsi

    Chapman & Hall/CRC 2010; US$ 89.95

    Over the last 20 years, comprehensive strategies for treating measurement error in complex models and accounting for the use of extra data to estimate measurement error parameters have emerged. Focusing on both established and novel approaches, "Measurement Error: Models, Methods, and Applications" provides an overview of the main techniques and illustrates their application in various models. It describes the impacts of measurement errors on naive analyses that ignore them and presents ways to correct for them across a variety of statistical models, from simple one-sample problems to regression models to more complex mixed and time series models. The book covers correction methods based on known measurement error parameters, replication,... more...