Download or read book Linear Models and Generalizations written by C. Radhakrishna Rao and published by Springer Science & Business Media. This book was released on 2007-10-15 with total page 583 pages. Available in PDF, EPUB and Kindle. Book excerpt: Revised and updated with the latest results, this Third Edition explores the theory and applications of linear models. The authors present a unified theory of inference from linear models and its generalizations with minimal assumptions. They not only use least squares theory, but also alternative methods of estimation and testing based on convex loss functions and general estimating equations. Highlights of coverage include sensitivity analysis and model selection, an analysis of incomplete data, an analysis of categorical data based on a unified presentation of generalized linear models, and an extensive appendix on matrix theory.

Download or read book Linear Models written by C.Radhakrishna Rao and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is based on both authors' several years of experience in teaching linear models at various levels. It gives an up-to-date account of the theory and applications of linear models. The book can be used as a text for courses in statistics at the graduate level and as an accompanying text for courses in other areas. Some of the highlights in this book are as follows. A relatively extensive chapter on matrix theory (Appendix A) provides the necessary tools for proving theorems discussed in the text and offers a selection of classical and modern algebraic results that are useful in research work in econometrics, engineering, and optimization theory. The matrix theory of the last ten years has produced a series of fundamental results about the definiteness of matrices, especially for the differences of matrices, which enable superiority comparisons of two biased estimates to be made for the first time. We have attempted to provide a unified theory of inference from linear models with minimal assumptions. Besides the usual least-squares theory, alternative methods of estimation and testing based on convex loss func tions and general estimating equations are discussed. Special emphasis is given to sensitivity analysis and model selection. A special chapter is devoted to the analysis of categorical data based on logit, loglinear, and logistic regression models. The material covered, theoretical discussion, and its practical applica tions will be useful not only to students but also to researchers and con sultants in statistics.

Download or read book Selected Papers of C R Rao written by Calyampudi Radhakrishna Rao and published by Taylor & Francis. This book was released on 1989 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Volume Five Of Selected Papers Of C.R. Rao Consists Of 32 Papers That Appeared In Various Publications From 1985. These Papers Are Selected To Showcase Some Of The Fundamental Contributions In Characterizations Of Probability Distributions, Density Estimation, Analysis Of Multivariate Familial Data, Correspondence Analysis, Shape And Size Analysis, Signal Detection, Inference Based On Quadratic Entropy, Bootstrap, L-L Norm, Convex Discrepancy Function Etc., Estimation Problems In Univariate And Multivariate Linear Models And Regression Models Using Unified Theory Of Linear Estimation, M-Estimates, Lad Estimates Etc. And Many More Novel Concepts And Ideas With Enormous Potential For Further Research And In Which Active Research Is Being Carried Out.The Highlight Of This Volume Is The Stimulating Retrospection Of Prof. C.R. Rao About His Work Spanning The Last Three Score Years. An Updated Bibliography And A Brief Biographical Profile Of Prof. Rao Are Also Included.These Volumes Are Intended Not Only As A Ready Reference To Most Of Prof. Rao'S Oft Quoted And Used Results But Also To Inspire And Initiate Research Workers To The Broad Spectrum Of Areas In Theoretical And Applied Statistics In Which Prof. Rao Has Contributed.

Download or read book Linear Models written by Calyampudi R. Rao and published by Springer Science & Business Media. This book was released on 2006-04-06 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: An up-to-date account of the theory and applications of linear models, for use as a textbook in statistics at graduate level as well as an accompanying text for other courses in which linear models play a part. The authors present a unified theory of inference from linear models with minimal assumptions, not only through least squares theory, but also using alternative methods of estimation and testing based on convex loss functions and general estimating equations. Highlights include: - a special emphasis on sensitivity analysis and model selection; - a chapter devoted to the analysis of categorical data based on logic, loglinear, and logistic regression models; - a chapter devoted to incomplete data sets; - an extensive appendix on matrix theory; - a chapter devoted to the analysis of categorical data based on a unified presentation of generalized linear models including GEE-methods for correlated response; - a chapter devoted to incomplete data sets including regression diagnostics to identify Non-MCAR-processes The material covered is thus invaluable not only to graduates, but also to researchers and consultants in statistics.

Download or read book Advances In Statistics Proceedings Of The Conference In Honor Of Professor Zhidong Bai On His 65th Birthday written by Zehua Chen and published by World Scientific. This book was released on 2008-02-22 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, which is split into two parts, is about Prof. Zhidong Bai's life and his contributions to statistics and probability. The first part contains an interview with Zhidong Bai conducted by Dr Atanu Biswas from the Indian Statistical Institute, and seven short articles detailing Bai's contributions. The second part is a collection of his selected seminal papers in the areas of random matrix theory, Edgeworth expansion, M-estimation, model selection, adaptive design in clinical trials, applied probability in algorithms, small area estimation, and time series, among others. This book provides an easy access to Zhidong Bai's important works, and serves as a useful reference for researchers who are working in the relevant areas.

Download or read book Probability And Statistics Proceedings Of The Special Program At The Nankai Institute Of Mathematics written by Ze Pei Jiang and published by World Scientific. This book was released on 1992-01-27 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main topics covered in this proceedings include: Interacting Particle Systems, Markov Processes and Potential Theory, Random Fields, Stochastic Analysis, Large Deviation Theory, Fractals and Superprocesses; Nonparametric Analysis, Robust Analysis, Multivariate Analysis, The Projection Pursuit, The Jackknife, Time Series, Linear Model, Regression and Limit Theorems.

Download or read book Advances in Statistics written by Zhidong Bai and published by World Scientific. This book was released on 2008 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: Throughout history, men have repeatedly made judgments regarding their own conduct and that of their fellow men. Some acts have been judged to be right or good, while other acts have been denounced as wrong or evil. Ethical judgment in medicine, as in other areas of life, is an attempt to distinguish between good and bad conduct. This book is based on three lectures given by the author as the Medical Director of Eye Clinic Singapura International. The first lecture was an address delivered to medical undergraduates at the National University of Singapore in 1975. The second was a Commonwealth Medical Association lecture delivered a decade ago. The third was a Singapore Medical Association lecture delivered in 1981. This volume, emphasizing the principles of medical ethics, has been kept simple and brief, and it is hoped that it will make interesting reading for both medical professionals and the general public.

Download or read book L1 statistical Procedures and Related Topics written by Yadolah Dodge and published by IMS. This book was released on 1997 with total page 550 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book L1 Norm and L Norm Estimation written by Richard Farebrother and published by Springer Science & Business Media. This book was released on 2013-04-03 with total page 59 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is concerned with the fitting of linear relationships in the context of the linear statistical model. As alternatives to the familiar least squared residuals procedure, it investigates the relationships between the least absolute residuals, the minimax absolute residual and the least median of squared residuals procedures. It is intended for graduate students and research workers in statistics with some command of matrix analysis and linear programming techniques.​

Download or read book Applications of Linear and Nonlinear Models written by Erik Grafarend and published by Springer Science & Business Media. This book was released on 2012-08-15 with total page 1026 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here we present a nearly complete treatment of the Grand Universe of linear and weakly nonlinear regression models within the first 8 chapters. Our point of view is both an algebraic view as well as a stochastic one. For example, there is an equivalent lemma between a best, linear uniformly unbiased estimation (BLUUE) in a Gauss-Markov model and a least squares solution (LESS) in a system of linear equations. While BLUUE is a stochastic regression model, LESS is an algebraic solution. In the first six chapters we concentrate on underdetermined and overdeterimined linear systems as well as systems with a datum defect. We review estimators/algebraic solutions of type MINOLESS, BLIMBE, BLUMBE, BLUUE, BIQUE, BLE, BIQUE and Total Least Squares. The highlight is the simultaneous determination of the first moment and the second central moment of a probability distribution in an inhomogeneous multilinear estimation by the so called E-D correspondence as well as its Bayes design. In addition, we discuss continuous networks versus discrete networks, use of Grassmann-Pluecker coordinates, criterion matrices of type Taylor-Karman as well as FUZZY sets. Chapter seven is a speciality in the treatment of an overdetermined system of nonlinear equations on curved manifolds. The von Mises-Fisher distribution is characteristic for circular or (hyper) spherical data. Our last chapter eight is devoted to probabilistic regression, the special Gauss-Markov model with random effects leading to estimators of type BLIP and VIP including Bayesian estimation. A great part of the work is presented in four Appendices. Appendix A is a treatment, of tensor algebra, namely linear algebra, matrix algebra and multilinear algebra. Appendix B is devoted to sampling distributions and their use in terms of confidence intervals and confidence regions. Appendix C reviews the elementary notions of statistics, namely random events and stochastic processes. Appendix D introduces the basics of Groebner basis algebra, its careful definition, the Buchberger Algorithm, especially the C. F. Gauss combinatorial algorithm.

Download or read book Methodology in Robust and Nonparametric Statistics written by Jana Jurečková and published by CRC Press. This book was released on 2012-07-20 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: Robust and nonparametric statistical methods have their foundation in fields ranging from agricultural science to astronomy, from biomedical sciences to the public health disciplines, and, more recently, in genomics, bioinformatics, and financial statistics. These disciplines are presently nourished by data mining and high-level computer-based algorithms, but to work actively with robust and nonparametric procedures, practitioners need to understand their background. Explaining the underpinnings of robust methods and recent theoretical developments, Methodology in Robust and Nonparametric Statistics provides a profound mathematically rigorous explanation of the methodology of robust and nonparametric statistical procedures. Thoroughly up-to-date, this book Presents multivariate robust and nonparametric estimation with special emphasis on affine-equivariant procedures, followed by hypotheses testing and confidence sets Keeps mathematical abstractions at bay while remaining largely theoretical Provides a pool of basic mathematical tools used throughout the book in derivations of main results The methodology presented, with due emphasis on asymptotics and interrelations, will pave the way for further developments on robust statistical procedures in more complex models. Using examples to illustrate the methods, the text highlights applications in the fields of biomedical science, bioinformatics, finance, and engineering. In addition, the authors provide exercises in the text.

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1988 with total page 956 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Statistical Sciences and Data Analysis written by Kameo Matusita and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-05-18 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "Statistical Sciences and Data Analysis".

Download or read book Current Index to Statistics Applications Methods and Theory written by and published by . This book was released on 1998 with total page 798 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Current Index to Statistics (CIS) is a bibliographic index of publications in statistics, probability, and related fields.

Download or read book Robust Statistical Procedures written by Jana Jurecková and published by John Wiley & Sons. This book was released on 1996-04-19 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: A broad and unified methodology for robust statistics—with exciting new applications Robust statistics is one of the fastest growing fields in contemporary statistics. It is also one of the more diverse and sometimes confounding areas, given the many different assessments and interpretations of robustness by theoretical and applied statisticians. This innovative book unifies the many varied, yet related, concepts of robust statistics under a sound theoretical modulation. It seamlessly integrates asymptotics and interrelations, and provides statisticians with an effective system for dealing with the interrelations between the various classes of procedures. Drawing on the expertise of researchers from around the world, and covering over a decade's worth of developments in the field, Robust Statistical Procedures: Asymptotics and Interrelations: Discusses both theory and applications in its two parts, from the fundamentals to robust statistical inference Thoroughly explores the interrelations between diverse classes of procedures, unlike any other book Compares nonparametric procedures with robust statistics, explaining in detail asymptotic representations for various estimators Provides a timesaving list of mathematical tools for the problems under discussion Keeps mathematical abstractions to a minimum, in spite of its largely theoretical content Includes useful problems and exercises at the end of each chapter Offers strategies for more complex models when using robust statistical procedures Self-contained and rounded in approach, this book is invaluable for both applied statisticians and theoretical researchers; for graduate students in mathematical statistics; and for anyone interested in the influence of this methodology.

Download or read book Quantile Regression written by Roger Koenker and published by Cambridge University Press. This book was released on 2005-05-05 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantile regression is gradually emerging as a unified statistical methodology for estimating models of conditional quantile functions. By complementing the exclusive focus of classical least squares regression on the conditional mean, quantile regression offers a systematic strategy for examining how covariates influence the location, scale and shape of the entire response distribution. This monograph is the first comprehensive treatment of the subject, encompassing models that are linear and nonlinear, parametric and nonparametric. The author has devoted more than 25 years of research to this topic. The methods in the analysis are illustrated with a variety of applications from economics, biology, ecology and finance. The treatment will find its core audiences in econometrics, statistics, and applied mathematics in addition to the disciplines cited above.

Download or read book Technical Reports Awareness Circular TRAC written by and published by . This book was released on 1988-07 with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt: