Linear Minimax Estimation in the Three Parameter Case

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ISBN 13 :
Total Pages : 7 pages
Book Rating : 4.:/5 (164 download)

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Book Synopsis Linear Minimax Estimation in the Three Parameter Case by : Hilmar Drygas

Download or read book Linear Minimax Estimation in the Three Parameter Case written by Hilmar Drygas and published by . This book was released on 1998 with total page 7 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Determination of the Minimax Linear Estimator (MILE) in the Three Parameter Case

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ISBN 13 :
Total Pages : 28 pages
Book Rating : 4.:/5 (164 download)

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Book Synopsis Determination of the Minimax Linear Estimator (MILE) in the Three Parameter Case by : Hilmar Drygas

Download or read book Determination of the Minimax Linear Estimator (MILE) in the Three Parameter Case written by Hilmar Drygas and published by . This book was released on 1998 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Restricted Parameter Space Estimation Problems

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Publisher : Springer Science & Business Media
ISBN 13 : 038748809X
Total Pages : 172 pages
Book Rating : 4.3/5 (874 download)

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Book Synopsis Restricted Parameter Space Estimation Problems by : Constance van Eeden

Download or read book Restricted Parameter Space Estimation Problems written by Constance van Eeden and published by Springer Science & Business Media. This book was released on 2006-12-15 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is addressed to anyone interested in the subject of restrict- parameter-space estimation, and in particular to those who want to learn, or bring their knowledge up to date, about (in)admissibility and minimaxity problems for such parameter spaces. The coverage starts in the early 1950s when the subject of inference for - stricted parameter spaces began to be studied and ends around the middle of 2004. It presents known, and also some new, results on (in)admissibility and minimaxity for nonsequential point estimation problems in restricted ?ni- dimensional parameter spaces. Relationships between various results are d- cussed and open problems are pointed out. Few complete proofs are given, but outlines of proofs are often supplied. The reader is always referred to the published papers and often results are clari?ed by presenting examples of the kind of problems an author solves, or of problems that cannot be solved by a particular result. The monograph does not touch on the subject of testing hypotheses in - stricted parameter spaces. The latest books on that subject are by Robertson, Wright and Dykstra (1988) and Akkerboom (1990), but many new results in that area have been obtained since. The monograph does have a chapter in which questions about the existence of maximum likelihood estimators are discussed. Some of their properties are also given there as well as some algorithms for computing them. Most of these results cannot be found in the Robertson, Wright, Dykstra book.

Probastat '98

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ISBN 13 :
Total Pages : 352 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Probastat '98 by : Andrej Pázman

Download or read book Probastat '98 written by Andrej Pázman and published by . This book was released on 1999 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Foundations of Estimation Theory

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Publisher : Elsevier
ISBN 13 : 0444598081
Total Pages : 335 pages
Book Rating : 4.4/5 (445 download)

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Book Synopsis Foundations of Estimation Theory by : L. Kubacek

Download or read book Foundations of Estimation Theory written by L. Kubacek and published by Elsevier. This book was released on 2012-12-02 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: The application of estimation theory renders the processing of experimental results both rational and effective, and thus helps not only to make our knowledge more precise but to determine the measure of its reliability. As a consequence, estimation theory is indispensable in the analysis of the measuring processes and of experiments in general.The knowledge necessary for studying this book encompasses the disciplines of probability and mathematical statistics as studied in the third or fourth year at university. For readers interested in applications, comparatively detailed chapters on linear and quadratic estimations, and normality of observation vectors have been included. Chapter 2 includes selected items of information from algebra, functional analysis and the theory of probability, intended to facilitate the reading of the text proper and to save the reader looking up individual theorems in various textbooks and papers; it is mainly devoted to the reproducing kernel Hilbert spaces, helpful in solving many estimation problems. The text proper of the book begins with Chapter 3. This is divided into two parts: the first deals with sufficient statistics, complete sufficient statistics, minimal sufficient statistics and relations between them; the second contains the mostimportant inequalities of estimation theory for scalar and vector valued parameters and presents properties of the exponential family of distributions.The fourth chapter is an introduction to asymptotic methods of estimation. The method of statistical moments and the maximum-likelihood method are investigated. The sufficient conditions for asymptotical normality of the estimators are given for both methods. The linear and quadratic methods of estimation are dealt with in the fifth chapter. The method of least squares estimation is treated. Five basic regular versions of the regression model and the unified linear model of estimation are described. Unbiased estimators for unit dispersion (factor of the covariance matrix) are given for all mentioned cases. The equivalence of the least-squares method to the method of generalized minimum norm inversion of the design matrix of the regression model is studied in detail. The problem of estimating the covariance components in the mixed model is mentioned as well. Statistical properties of linear and quadratic estimators developed in the fifth chapter in the case of normally distributed errors of measurement are given in Chapter 6. Further, the application of tensor products of Hilbert spaces generated by the covariance matrix of random error vector of observations is demonstrated. Chapter 7 reviews some further important methods of estimation theory. In the first part Wald's method of decision functions is applied to the construction of estimators. The method of contracted estimators and the method of Hoerl and Kennard are presented in the second part. The basic ideas of robustness and Bahadur's approach to estimation theory are presented in the third and fourth parts of this last chapter.

Parametric Statistical Inference

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Publisher : Elsevier
ISBN 13 : 1483150496
Total Pages : 404 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis Parametric Statistical Inference by : Shelemyahu Zacks

Download or read book Parametric Statistical Inference written by Shelemyahu Zacks and published by Elsevier. This book was released on 2014-05-20 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: Parametric Statistical Inference: Basic Theory and Modern Approaches presents the developments and modern trends in statistical inference to students who do not have advanced mathematical and statistical preparation. The topics discussed in the book are basic and common to many fields of statistical inference and thus serve as a jumping board for in-depth study. The book is organized into eight chapters. Chapter 1 provides an overview of how the theory of statistical inference is presented in subsequent chapters. Chapter 2 briefly discusses statistical distributions and their properties. Chapter 3 is devoted to the problem of sufficient statistics and the information in samples, and Chapter 4 presents some basic results from the theory of testing statistical hypothesis. In Chapter 5, the classical theory of estimation is developed. Chapter 6 discusses the efficiency of estimators and some large sample properties, while Chapter 7 studies the topics on confidence intervals. Finally, Chapter 8 is about decision theoretic and Bayesian approach in testing and estimation. Senior undergraduate and graduate students in statistics and mathematics, and those who have taken an introductory course in probability will highly benefit from this book.

Linear Minimax Estimation Under Ellipsoidal Parameter Space and Related Bayes L-optimal Design

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ISBN 13 :
Total Pages : 15 pages
Book Rating : 4.:/5 (632 download)

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Book Synopsis Linear Minimax Estimation Under Ellipsoidal Parameter Space and Related Bayes L-optimal Design by : Norbert Gaffke

Download or read book Linear Minimax Estimation Under Ellipsoidal Parameter Space and Related Bayes L-optimal Design written by Norbert Gaffke and published by . This book was released on 1988 with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Regression Estimators

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Publisher : JHU Press
ISBN 13 : 0801894263
Total Pages : 425 pages
Book Rating : 4.8/5 (18 download)

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Book Synopsis Regression Estimators by : Marvin H. J. Gruber

Download or read book Regression Estimators written by Marvin H. J. Gruber and published by JHU Press. This book was released on 2010-06-30 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for the first edition --

Linear Regression

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Publisher : Springer Science & Business Media
ISBN 13 : 364255864X
Total Pages : 400 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Linear Regression by : Jürgen Groß

Download or read book Linear Regression written by Jürgen Groß and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book covers the basic theory of linear regression models and presents a comprehensive survey of different estimation techniques as alternatives and complements to least squares estimation. Proofs are given for the most relevant results, and the presented methods are illustrated with the help of numerical examples and graphics. Special emphasis is placed on practicability and possible applications. The book is rounded off by an introduction to the basics of decision theory and an appendix on matrix algebra.

Robustness of Statistical Methods and Nonparametric Statistics

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Publisher : Springer Science & Business Media
ISBN 13 : 9400965281
Total Pages : 177 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Robustness of Statistical Methods and Nonparametric Statistics by : Dieter Rasch

Download or read book Robustness of Statistical Methods and Nonparametric Statistics written by Dieter Rasch and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains most of the invited and contributed papers presented at the Conference on Robustness of Statistical Methods and Nonparametric Statistics held in the castle oj'Schwerin, Mai 29 - June 4 1983. This conference was organized by the Mathematical Society of the GDR in cooperation with the Society of Physical and Mathematical Biology of the GDR, the GDR-Region of the International Biometric Society and the Academy of Agricultural Sciences of the GDR. All papers included were thoroughly reviewed by scientist listed under the heading "Editorial Collabora tories·'. Some contributions, we are sorry to report, were not recommended for publi cation by the rf'vif'wers and do not appear in these proceedings. The editors thank the reviewers for their valuable comments and suggestions. The conference was organizf'd bv a Programme Committee, its chairman was Prof. Dr. Dieter Rasch (Research Centre of Animal Production, Dummerstorf-Rostock). The members of the Programme Committee were Prof. Dr., Johannes Adam (Martin-Luther-University Halle) Prof. Dr. Heinz Ahrens (Academy of Sciences of the GDR, Berlin) Doz. Dr. Jana Jureckova (Charles University Praha) Prof. Dr. Moti Lal Tiku (McMaster University, Hamilton, Ontario) The aim of the conference was to discuss several aspects of robustness but mainly to present new results regarding the robustness of classical statistical methods especially tests, confidence estimations, and selection procedures, and to compare their perfor mance with nonparametric procedures. Robustness in this sens~ is understood as intensivity against. violation of the normal assumption.

The Linear Prediction of Deterministic Signals

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ISBN 13 :
Total Pages : 20 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The Linear Prediction of Deterministic Signals by : Samuel Zahl

Download or read book The Linear Prediction of Deterministic Signals written by Samuel Zahl and published by . This book was released on 1964 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt: The exact algebraic solution is given for prediction of linear signals for up to three observations and is compared with the solution based on Wiener's theory.

Improving Efficiency by Shrinkage

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Publisher : Routledge
ISBN 13 : 1351439162
Total Pages : 648 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Improving Efficiency by Shrinkage by : Marvin Gruber

Download or read book Improving Efficiency by Shrinkage written by Marvin Gruber and published by Routledge. This book was released on 2017-11-01 with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offers a treatment of different kinds of James-Stein and ridge regression estimators from a frequentist and Bayesian point of view. The book explains and compares estimators analytically as well as numerically and includes Mathematica and Maple programs used in numerical comparison.;College or university bookshops may order five or more copies at a special student rate, available on request.

Scientific and Technical Aerospace Reports

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ISBN 13 :
Total Pages : 556 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1993 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Statistics

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Publisher : Routledge
ISBN 13 : 1351433105
Total Pages : 592 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Mathematical Statistics by : A A Borokov

Download or read book Mathematical Statistics written by A A Borokov and published by Routledge. This book was released on 2019-01-22 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: A wide-ranging, extensive overview of modern mathematical statistics, this work reflects the current state of the field while being succinct and easy to grasp. The mathematical presentation is coherent and rigorous throughout. The author presents classical results and methods that form the basis of modern statistics, and examines the foundations o

Shrinkage Estimation

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Publisher : Springer
ISBN 13 : 3030021858
Total Pages : 339 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Shrinkage Estimation by : Dominique Fourdrinier

Download or read book Shrinkage Estimation written by Dominique Fourdrinier and published by Springer. This book was released on 2018-11-27 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a coherent framework for understanding shrinkage estimation in statistics. The term refers to modifying a classical estimator by moving it closer to a target which could be known a priori or arise from a model. The goal is to construct estimators with improved statistical properties. The book focuses primarily on point and loss estimation of the mean vector of multivariate normal and spherically symmetric distributions. Chapter 1 reviews the statistical and decision theoretic terminology and results that will be used throughout the book. Chapter 2 is concerned with estimating the mean vector of a multivariate normal distribution under quadratic loss from a frequentist perspective. In Chapter 3 the authors take a Bayesian view of shrinkage estimation in the normal setting. Chapter 4 introduces the general classes of spherically and elliptically symmetric distributions. Point and loss estimation for these broad classes are studied in subsequent chapters. In particular, Chapter 5 extends many of the results from Chapters 2 and 3 to spherically and elliptically symmetric distributions. Chapter 6 considers the general linear model with spherically symmetric error distributions when a residual vector is available. Chapter 7 then considers the problem of estimating a location vector which is constrained to lie in a convex set. Much of the chapter is devoted to one of two types of constraint sets, balls and polyhedral cones. In Chapter 8 the authors focus on loss estimation and data-dependent evidence reports. Appendices cover a number of technical topics including weakly differentiable functions; examples where Stein’s identity doesn’t hold; Stein’s lemma and Stokes’ theorem for smooth boundaries; harmonic, superharmonic and subharmonic functions; and modified Bessel functions.

Advanced Econometrics

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Publisher : Harvard University Press
ISBN 13 : 9780674005600
Total Pages : 540 pages
Book Rating : 4.0/5 (56 download)

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Book Synopsis Advanced Econometrics by : Takeshi Amemiya

Download or read book Advanced Econometrics written by Takeshi Amemiya and published by Harvard University Press. This book was released on 1985 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main features of this text are a thorough treatment of cross-section models—including qualitative response models, censored and truncated regression models, and Markov and duration models—and a rigorous presentation of large sample theory, classical least-squares and generalized least-squares theory, and nonlinear simultaneous equation models.

Selected Papers of C.R. Rao

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Publisher : Taylor & Francis
ISBN 13 : 9788122412130
Total Pages : 422 pages
Book Rating : 4.4/5 (121 download)

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Book Synopsis Selected Papers of C.R. Rao by : Calyampudi Radhakrishna Rao

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 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Is The Fourth Volume Of Selected Papers Of C. R. Rao Consisting Of 39 Papers Published During 1975-1985. These Papers Represent The Development Of Some Of The Basic Concepts Proposed By The Author In The Fields Of Unified Theory Of Least Squares Estimation, Weighted Distributions, Bayesian Statistical Inference, Generalised Inverses Of Matrices And Their Applications In Which Contemporary Research Is Carried Out Extensively. Work On Solutions Of Functional Equations And Their Application In Characterizations Of Distributions Is Also Of Current Interest. Introduction Of Measures Of Diversity, Quadratic Entropy And Allied Concepts Find Applications In Various Fields Such As Anthropology And Social Sciences. As In The Earlier Volumes, The Papers That Have Originally Appeared In Different Publications Have Been Retypeset To Maintain Uniformity In Presentation.The Final Volume With More Papers, An Updated Bibliography Of Works And A Comprehensive Overview Of The Total Opus Of Professor C. R. Rao Is Going To Come Out Soon.