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Author : Hilmar Drygas
Publisher :
ISBN 13 :
Total Pages : 114 pages
Book Rating : 4.:/5 (46 download)
Download or read book Linear Models in a Coordinate-free Form written by Hilmar Drygas and published by . This book was released on 1980 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Michael J. Wichura
Publisher : Cambridge University Press
ISBN 13 : 1139461044
Total Pages : 188 pages
Book Rating : 4.1/5 (394 download)
Download or read book The Coordinate-Free Approach to Linear Models written by Michael J. Wichura and published by Cambridge University Press. This book was released on 2006-10-23 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about the coordinate-free, or geometric, approach to the theory of linear models; more precisely, Model I ANOVA and linear regression models with non-random predictors in a finite-dimensional setting. This approach is more insightful, more elegant, more direct, and simpler than the more common matrix approach to linear regression, analysis of variance, and analysis of covariance models in statistics. The book discusses the intuition behind and optimal properties of various methods of estimating and testing hypotheses about unknown parameters in the models. Topics covered range from linear algebra, such as inner product spaces, orthogonal projections, book orthogonal spaces, Tjur experimental designs, basic distribution theory, the geometric version of the Gauss-Markov theorem, optimal and non-optimal properties of Gauss-Markov, Bayes, and shrinkage estimators under assumption of normality, the optimal properties of F-test, and the analysis of covariance and missing observations.
Author : Michael J. Wichura
Publisher :
ISBN 13 :
Total Pages : 260 pages
Book Rating : 4.E/5 ( download)
Download or read book Lecture Notes on the Coordinate-free Approach to Linear Models written by Michael J. Wichura and published by . This book was released on 1983 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Gabriela Beganu
Publisher : LAP Lambert Academic Publishing
ISBN 13 : 9783659199233
Total Pages : 68 pages
Book Rating : 4.1/5 (992 download)
Download or read book A Coordinate-Free Approach of Estimation in Mixed Linear Models written by Gabriela Beganu and published by LAP Lambert Academic Publishing. This book was released on 2012-08 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt: The existence conditions of both the best linear unbiased estimator of expected mean and the best quadratic unbiased estimators of covariance components in multivariate mixed linear models are presented in this book by using a coordinate-free approach. These conditions are extended to a family of multivariate growth curve models. The use of the coordinate-free approach of estimation offers an attractive computational form and allows to define certain finite dimensional Hilbert spaces corresponding to the considered models.
Author : Ronald Christensen
Publisher : Springer Science & Business Media
ISBN 13 : 1475719515
Total Pages : 392 pages
Book Rating : 4.4/5 (757 download)
Download or read book Plane Answers to Complex Questions written by Ronald Christensen and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book was written to rigorously illustrate the practical application of the projective approach to linear models. To some, this may seem contradictory. I contend that it is possible to be both rigorous and illustrative and that it is possible to use the projective approach in practical applications. Therefore, unlike many other books on linear models, the use of projections and sub spaces does not stop after the general theory. They are used wherever I could figure out how to do it. Solving normal equations and using calculus (outside of maximum likelihood theory) are anathema to me. This is because I do not believe that they contribute to the understanding of linear models. I have similar feelings about the use of side conditions. Such topics are mentioned when appropriate and thenceforward avoided like the plague. On the other side of the coin, I just as strenuously reject teaching linear models with a coordinate free approach. Although Joe Eaton assures me that the issues in complicated problems frequently become clearer when considered free of coordinate systems, my experience is that too many people never make the jump from coordinate free theory back to practical applications. I think that coordinate free theory is better tackled after mastering linear models from some other approach. In particular, I think it would be very easy to pick up the coordinate free approach after learning the material in this book. See Eaton (1983) for an excellent exposition of the coordinate free approach.
Author : Anders Lindquist
Publisher : Springer
ISBN 13 : 3662457504
Total Pages : 788 pages
Book Rating : 4.6/5 (624 download)
Download or read book Linear Stochastic Systems written by Anders Lindquist and published by Springer. This book was released on 2015-04-24 with total page 788 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a treatise on the theory and modeling of second-order stationary processes, including an exposition on selected application areas that are important in the engineering and applied sciences. The foundational issues regarding stationary processes dealt with in the beginning of the book have a long history, starting in the 1940s with the work of Kolmogorov, Wiener, Cramér and his students, in particular Wold, and have since been refined and complemented by many others. Problems concerning the filtering and modeling of stationary random signals and systems have also been addressed and studied, fostered by the advent of modern digital computers, since the fundamental work of R.E. Kalman in the early 1960s. The book offers a unified and logically consistent view of the subject based on simple ideas from Hilbert space geometry and coordinate-free thinking. In this framework, the concepts of stochastic state space and state space modeling, based on the notion of the conditional independence of past and future flows of the relevant signals, are revealed to be fundamentally unifying ideas. The book, based on over 30 years of original research, represents a valuable contribution that will inform the fields of stochastic modeling, estimation, system identification, and time series analysis for decades to come. It also provides the mathematical tools needed to grasp and analyze the structures of algorithms in stochastic systems theory.
Author : Daniel Zelterman
Publisher : Oxford University Press, USA
ISBN 13 : 0191523437
Total Pages : 297 pages
Book Rating : 4.1/5 (915 download)
Download or read book Models for Discreet Data written by Daniel Zelterman and published by Oxford University Press, USA. This book was released on 1999-01-21 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discrete or count data arise in experiments where the outcome variables are the numbers of individuals classified into unique, non-overlapping categories. This revised edition describes the statistical models used in the analysis and summary of such data, and provides a sound introduction to the subject for graduate students and practitioners needing a review of the methodology. With many numerical examples throughout, it includes topics not covered in depth elsewhere, such as thenegative multinomial distribution; the many forms of the hypergeometric distribution; and coordinate free models. A detailed treatment of sample size estimation and power are given in terms of both exact inference and asymptotic, non-central chi-squared methods. A new section covering Poissonregression has also been included. An important feature of this book, missing elsewhere, is the integration of the software into the text.Many more exercises are provided (including 84% more applied exercises) than in the previous edition, helping consolidate the reader's understanding of all subjects covered, and making the book highly suitable for use in a classroom setting. Several new datasets, mostly from the health and medical sector, are discussed, including previously unpublished data from a study of Tourette's Syndrome in children.
Author : Paul Van Den Hof
Publisher : Elsevier
ISBN 13 : 9780080437095
Total Pages : 2080 pages
Book Rating : 4.4/5 (37 download)
Download or read book System Identification (SYSID '03) written by Paul Van Den Hof and published by Elsevier. This book was released on 2004-06-29 with total page 2080 pages. Available in PDF, EPUB and Kindle. Book excerpt: The scope of the symposium covers all major aspects of system identification, experimental modelling, signal processing and adaptive control, ranging from theoretical, methodological and scientific developments to a large variety of (engineering) application areas. It is the intention of the organizers to promote SYSID 2003 as a meeting place where scientists and engineers from several research communities can meet to discuss issues related to these areas. Relevant topics for the symposium program include: Identification of linear and multivariable systems, identification of nonlinear systems, including neural networks, identification of hybrid and distributed systems, Identification for control, experimental modelling in process control, vibration and modal analysis, model validation, monitoring and fault detection, signal processing and communication, parameter estimation and inverse modelling, statistical analysis and uncertainty bounding, adaptive control and data-based controller tuning, learning, data mining and Bayesian approaches, sequential Monte Carlo methods, including particle filtering, applications in process control systems, motion control systems, robotics, aerospace systems, bioengineering and medical systems, physical measurement systems, automotive systems, econometrics, transportation and communication systems *Provides the latest research on System Identification *Contains contributions written by experts in the field *Part of the IFAC Proceedings Series which provides a comprehensive overview of the major topics in control engineering.
Author : R. Gilchrist
Publisher : Springer Science & Business Media
ISBN 13 : 1461257719
Total Pages : 195 pages
Book Rating : 4.4/5 (612 download)
Download or read book GLIM 82: Proceedings of the International Conference on Generalised Linear Models written by R. Gilchrist and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume of Lecture Notes in Statistics consists of the published proceedings of the first international conference to be held on the topic of generalised linear models. This conference was held from 13 - 15 September 1982 at the Polytechnic of North London and marked an important stage in the development and expansion of the GLIM system. The range of the new system, tentatively named Prism, is here outlined by Bob Baker. Further sections of the volume are devoted to more detailed descriptions of the new facilities, including information on the two different numerical methods now available. Most of the data analyses in this volume are carried out using the GLIM system but this is, of course, not necessary. There are other ways of analysing generalised linear models and Peter Green here discusses the many attractive features of APL, including its ability to analyse generalised linear models. Later sections of the volume cover other invited and contributed papers on the theory and application of generalised linear models. Included amongst these is a paper by Murray Aitkin, proposing a unified approach to statistical modelling through direct likelihood inference, and a paper by Daryl Pregibon showing how GLIM can be programmed to carry out score tests. A paper by Joe Whittaker extends the recent discussion of the relationship between conditional independence and log-linear models and John Hinde considers the introduction of an independent random variable into a linear model to allow for unexplained variation in Poisson data.
Author : David A. Harville
Publisher : CRC Press
ISBN 13 : 1351264664
Total Pages : 811 pages
Book Rating : 4.3/5 (512 download)
Download or read book Linear Models and the Relevant Distributions and Matrix Algebra written by David A. Harville and published by CRC Press. This book was released on 2018-03-22 with total page 811 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear Models and the Relevant Distributions and Matrix Algebra provides in-depth and detailed coverage of the use of linear statistical models as a basis for parametric and predictive inference. It can be a valuable reference, a primary or secondary text in a graduate-level course on linear models, or a resource used (in a course on mathematical statistics) to illustrate various theoretical concepts in the context of a relatively complex setting of great practical importance. Features: Provides coverage of matrix algebra that is extensive and relatively self-contained and does so in a meaningful context Provides thorough coverage of the relevant statistical distributions, including spherically and elliptically symmetric distributions Includes extensive coverage of multiple-comparison procedures (and of simultaneous confidence intervals), including procedures for controlling the k-FWER and the FDR Provides thorough coverage (complete with detailed and highly accessible proofs) of results on the properties of various linear-model procedures, including those of least squares estimators and those of the F test. Features the use of real data sets for illustrative purposes Includes many exercises David Harville served for 10 years as a mathematical statistician in the Applied Mathematics Research Laboratory of the Aerospace Research Laboratories at Wright-Patterson AFB, Ohio, 20 years as a full professor in Iowa State University’s Department of Statistics where he now has emeritus status, and seven years as a research staff member of the Mathematical Sciences Department of IBM’s T.J. Watson Research Center. He has considerable relevant experience, having taught M.S. and Ph.D. level courses in linear models, been the thesis advisor of 10 Ph.D. graduates, and authored or co-authored two books and more than 80 research articles. His work has been recognized through his election as a Fellow of the American Statistical Association and of the Institute of Mathematical Statistics and as a member of the International Statistical Institute.
Author : Shein-Chung Chow
Publisher : Routledge
ISBN 13 : 1351468553
Total Pages : 568 pages
Book Rating : 4.3/5 (514 download)
Download or read book Advanced Linear Models written by Shein-Chung Chow and published by Routledge. This book was released on 2018-05-04 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work details the statistical inference of linear models including parameter estimation, hypothesis testing, confidence intervals, and prediction. The authors discuss the application of statistical theories and methodologies to various linear models such as the linear regression model, the analysis of variance model, the analysis of covariance model, and the variance components model.
Author : H. Drygas
Publisher : Springer Science & Business Media
ISBN 13 : 3642651488
Total Pages : 125 pages
Book Rating : 4.6/5 (426 download)
Download or read book The Coordinate-Free Approach to Gauss-Markov Estimation written by H. Drygas and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 125 pages. Available in PDF, EPUB and Kindle. Book excerpt: These notes originate from a couple of lectures which were given in the Econometric Workshop of the Center for Operations Research and Econometrics (CORE) at the Catholic University of Louvain. The participants of the seminars were recommended to read the first four chapters of Seber's book [40], but the exposition of the material went beyond Seber's exposition, if it seemed necessary. Coordinate-free methods are not new in Gauss-Markov estimation, besides Seber the work of Kolmogorov [11], SCheffe [36], Kruskal [21], [22] and Malinvaud [25], [26] should be mentioned. Malinvaud's approach however is a little different from that of the other authors, because his optimality criterion is based on the ellipsoid of c- centration. This criterion is however equivalent to the usual c- cept of minimal covariance-matrix and therefore the result must be the same in both cases. While the usual theory gives no indication how small the covariance-matrix can be made before the optimal es timator is computed, Malinvaud can show how small the ellipsoid of concentration can be made: it is at most equal to the intersection of the ellipssoid of concentration of the observed random vector and the linear space in which the (unknown) expectation value of the observed random vector is lying. This exposition is based on the observation, that in regression ~nalysis and related fields two conclusions are or should preferably be applied repeatedly.
Author : David H. Laidlaw
Publisher : Springer Science & Business Media
ISBN 13 : 3540883789
Total Pages : 379 pages
Book Rating : 4.5/5 (48 download)
Download or read book Visualization and Processing of Tensor Fields written by David H. Laidlaw and published by Springer Science & Business Media. This book was released on 2009-03-30 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides researchers an inspirational look at how to process and visualize complicated 2D and 3D images known as tensor fields. With numerous color figures, it details both the underlying mathematics and the applications of tensor fields.
Author : Tamás Rudas
Publisher : SAGE
ISBN 13 : 9780761903628
Total Pages : 92 pages
Book Rating : 4.9/5 (36 download)
Download or read book Odds Ratios in the Analysis of Contingency Tables written by Tamás Rudas and published by SAGE. This book was released on 1998 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume the author shows how odds ratios can be used as a framework for understanding log-linear models. The book moves from paradigmatic 2x2 case to more complicated cases. The author also carefully defines the odds ratio.
Author : Gregory S. Chirikjian
Publisher : Springer Science & Business Media
ISBN 13 : 0817649433
Total Pages : 460 pages
Book Rating : 4.8/5 (176 download)
Download or read book Stochastic Models, Information Theory, and Lie Groups, Volume 2 written by Gregory S. Chirikjian and published by Springer Science & Business Media. This book was released on 2011-11-15 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique two-volume set presents the subjects of stochastic processes, information theory, and Lie groups in a unified setting, thereby building bridges between fields that are rarely studied by the same people. Unlike the many excellent formal treatments available for each of these subjects individually, the emphasis in both of these volumes is on the use of stochastic, geometric, and group-theoretic concepts in the modeling of physical phenomena. Stochastic Models, Information Theory, and Lie Groups will be of interest to advanced undergraduate and graduate students, researchers, and practitioners working in applied mathematics, the physical sciences, and engineering. Extensive exercises, motivating examples, and real-world applications make the work suitable as a textbook for use in courses that emphasize applied stochastic processes or differential geometry.
Author :
Publisher :
ISBN 13 :
Total Pages : 542 pages
Book Rating : 4.:/5 (319 download)
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1995 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Martin Aksel Hjortso
Publisher : World Scientific
ISBN 13 : 9813270896
Total Pages : 640 pages
Book Rating : 4.8/5 (132 download)
Download or read book Linear Mathematical Models In Chemical Engineering (Second Edition) written by Martin Aksel Hjortso and published by World Scientific. This book was released on 2018-07-13 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics remains a core area of engineering. Formulating and analyzing mathematical models of basic engineering systems is an essential skill that all engineering students should endeavor to acquire.This book will serve as an excellent introduction to linear mathematics for engineering students, both seniors and graduate students. It is the result of a collaboration between a chemical engineer and a mathematician, both of whom have taught classes on modelling and applied mathematics. It provides a broad collection of chemical engineering modelling examples to train students in model formulation and model simplification as well as give a thorough coverage of the mathematical tools used to analyze and solve linear chemical engineering models.Solution manual is provided for free to instructors who adopt this textbook. Please send your request to [email protected].
