Download or read book Formulas for the Fitting of Polynomials to Data by the Method of Least Squares written by Voris V. Latshaw and published by . This book was released on 1930 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Least square Distance Curve fitting Technique written by John Q. Howell and published by . This book was released on 1971 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Procedure for Finding the Coefficients of the Best Fitting Second and Third Degree Polynomials by Application of the Method of Least Squares written by Asko Visapää and published by . This book was released on 1966 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Rapid Fitting of a Certain Class of Empirical Formulae by the Method of Least Squares written by Edward Uhler Condon and published by . This book was released on 1927 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Use of Orthonormal Polynomials in Fitting Curves and Estimating Their First and Second Derivatives written by J. E. Barker and published by . This book was released on 1958 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Consideration is directed to the use in least-squares problems of polynomials so constructed as to be orthonormal with respect to summation over a set of discrete data points. Recurrence formulas for the generation of such polynomials and their coefficients are given. The role which these polynomials play in obtaining least-squares estimates of first and second derivatives and in obtaining measures of the reliability of such estimates is discussed at some length. Brief consideration is also given to the problem of so designing experiments involving position-time measurements as to obtain the most reliable estimates of velocity and acceleration. This is followed by a discussion of the difficult problem of determining the proper degree of polynomial fit to the data points. The report is then brought to a close by appendices briefly summarizing the older classical methods employed in least-squares curve fitting and giving the derivation of the recurrence formula for the generation of the orthonormal polynomials. Extensive tables of orthonormal polynomials for equally spaced and equally weighted data points and of certain related quantities needed in statistical analyses of results obtained in the use of these polynomials in data reduction appear under separate cover--Abstract.
Download or read book FITLOS a FORTRAN Program for Fitting Low order Polynomial Splines by the Method of Least Squares written by Patricia J. Smith and published by . This book was released on 1971 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Least Squares Cubic Splines written by Victor L. Corbin and published by . This book was released on 1973 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt: An important feature of ordinary cubic splines results from the conditions of continuity of the function and its first two derivatives that are improved at each data point. Consequently, this method is not useful with experimental data, which is the sum of the true value of a function and some random noise. The authors have combined the least squares criteria with the spline conditions to obtain a set of equations which allow one to perform least squares curve fitting with cubic splines. (Author).
Download or read book Data Analysis Using the Method of Least Squares written by John Wolberg and published by Springer Science & Business Media. This book was released on 2006-02-08 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: Develops the full power of the least-squares method Enables engineers and scientists to apply the method to their specific problem Deals with linear as well as with non-linear least-squares, parametric as well as non-parametric methods
Download or read book Least squares Approximation written by Open University. Linear Mathematics Course Team and published by . This book was released on 1972 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Polynomial Approximation by the Method of Least Squares written by Harold Thayer Davis and published by . This book was released on 1933 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Fitting Models to Biological Data Using Linear and Nonlinear Regression written by Harvey Motulsky and published by Oxford University Press. This book was released on 2004-05-27 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most biologists use nonlinear regression more than any other statistical technique, but there are very few places to learn about curve-fitting. This book, by the author of the very successful Intuitive Biostatistics, addresses this relatively focused need of an extraordinarily broad range of scientists.
Download or read book Solving Least Squares Problems written by Charles L. Lawson and published by SIAM. This book was released on 1995-12-01 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Classic edition includes a new appendix which summarizes the major developments since the book was originally published in 1974. The additions are organized in short sections associated with each chapter. An additional 230 references have been added, bringing the bibliography to over 400 entries. Appendix C has been edited to reflect changes in the associated software package and software distribution method.
Download or read book Least Squares Data Fitting with Applications written by Per Christian Hansen and published by JHU Press. This book was released on 2013-01-15 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: Included are; an overview of computational methods together with their properties and advantages; topics from statistical regression analysis that help readers to understand and evaluate the computed solutions; many examples that illustrate the techniques and algorithmsLeast Squares Data Fitting with Applications can be used as a textbook for advanced undergraduate or graduate courses and professionals in the sciences and in engineering.
Download or read book Sparsity Methods for Systems and Control written by Masaaki Nagahara and published by . This book was released on 2020-09-30 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: The method of sparsity has been attracting a lot of attention in the fields related not only to signal processing, machine learning, and statistics, but also systems and control. The method is known as compressed sensing, compressive sampling, sparse representation, or sparse modeling. More recently, the sparsity method has been applied to systems and control to design resource-aware control systems. This book gives a comprehensive guide to sparsity methods for systems and control, from standard sparsity methods in finite-dimensional vector spaces (Part I) to optimal control methods in infinite-dimensional function spaces (Part II). The primary objective of this book is to show how to use sparsity methods for several engineering problems. For this, the author provides MATLAB programs by which the reader can try sparsity methods for themselves. Readers will obtain a deep understanding of sparsity methods by running these MATLAB programs. Sparsity Methods for Systems and Control is suitable for graduate level university courses, though it should also be comprehendible to undergraduate students who have a basic knowledge of linear algebra and elementary calculus. Also, especially part II of the book should appeal to professional researchers and engineers who are interested in applying sparsity methods to systems and control.
Download or read book Least Squares Fitting of Polynomial Equations The Interactive Program POLYFIT written by Thomas E. Hayes and published by . This book was released on 1974 with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt: A program, POLYFIT, has been converted to CDC FORTRAN Extended that provides true least-squares fits to bivariate data of equations of the form: y = (A sub 0) + (A sub 1)x + ... + (A sub m)(x sub m).
Download or read book Numerical Methods for Least Squares Problems written by Ake Bjorck and published by SIAM. This book was released on 1996-01-01 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: The method of least squares was discovered by Gauss in 1795. It has since become the principal tool to reduce the influence of errors when fitting models to given observations. Today, applications of least squares arise in a great number of scientific areas, such as statistics, geodetics, signal processing, and control. In the last 20 years there has been a great increase in the capacity for automatic data capturing and computing. Least squares problems of large size are now routinely solved. Tremendous progress has been made in numerical methods for least squares problems, in particular for generalized and modified least squares problems and direct and iterative methods for sparse problems. Until now there has not been a monograph that covers the full spectrum of relevant problems and methods in least squares. This volume gives an in-depth treatment of topics such as methods for sparse least squares problems, iterative methods, modified least squares, weighted problems, and constrained and regularized problems. The more than 800 references provide a comprehensive survey of the available literature on the subject.
Download or read book Econometric Methods with Applications in Business and Economics written by Christiaan Heij and published by OUP Oxford. This book was released on 2004-03-25 with total page 816 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nowadays applied work in business and economics requires a solid understanding of econometric methods to support decision-making. Combining a solid exposition of econometric methods with an application-oriented approach, this rigorous textbook provides students with a working understanding and hands-on experience of current econometrics. Taking a 'learning by doing' approach, it covers basic econometric methods (statistics, simple and multiple regression, nonlinear regression, maximum likelihood, and generalized method of moments), and addresses the creative process of model building with due attention to diagnostic testing and model improvement. Its last part is devoted to two major application areas: the econometrics of choice data (logit and probit, multinomial and ordered choice, truncated and censored data, and duration data) and the econometrics of time series data (univariate time series, trends, volatility, vector autoregressions, and a brief discussion of SUR models, panel data, and simultaneous equations). · Real-world text examples and practical exercise questions stimulate active learning and show how econometrics can solve practical questions in modern business and economic management. · Focuses on the core of econometrics, regression, and covers two major advanced topics, choice data with applications in marketing and micro-economics, and time series data with applications in finance and macro-economics. · Learning-support features include concise, manageable sections of text, frequent cross-references to related and background material, summaries, computational schemes, keyword lists, suggested further reading, exercise sets, and online data sets and solutions. · Derivations and theory exercises are clearly marked for students in advanced courses. This textbook is perfect for advanced undergraduate students, new graduate students, and applied researchers in econometrics, business, and economics, and for researchers in other fields that draw on modern applied econometrics.
