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Some Investigations In Minimax Estimation Theory
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Book Synopsis Minimax and Applications by : Ding-Zhu Du
Download or read book Minimax and Applications written by Ding-Zhu Du and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Techniques and principles of minimax theory play a key role in many areas of research, including game theory, optimization, and computational complexity. In general, a minimax problem can be formulated as min max f(x, y) (1) ",EX !lEY where f(x, y) is a function defined on the product of X and Y spaces. There are two basic issues regarding minimax problems: The first issue concerns the establishment of sufficient and necessary conditions for equality minmaxf(x,y) = maxminf(x,y). (2) "'EX !lEY !lEY "'EX The classical minimax theorem of von Neumann is a result of this type. Duality theory in linear and convex quadratic programming interprets minimax theory in a different way. The second issue concerns the establishment of sufficient and necessary conditions for values of the variables x and y that achieve the global minimax function value f(x*, y*) = minmaxf(x, y). (3) "'EX !lEY There are two developments in minimax theory that we would like to mention.
Book Synopsis Selected Works of E. L. Lehmann by : Javier Rojo
Download or read book Selected Works of E. L. Lehmann written by Javier Rojo and published by Springer Science & Business Media. This book was released on 2012-01-16 with total page 1103 pages. Available in PDF, EPUB and Kindle. Book excerpt: These volumes present a selection of Erich L. Lehmann’s monumental contributions to Statistics. These works are multifaceted. His early work included fundamental contributions to hypothesis testing, theory of point estimation, and more generally to decision theory. His work in Nonparametric Statistics was groundbreaking. His fundamental contributions in this area include results that came to assuage the anxiety of statisticians that were skeptical of nonparametric methodologies, and his work on concepts of dependence has created a large literature. The two volumes are divided into chapters of related works. Invited contributors have critiqued the papers in each chapter, and the reprinted group of papers follows each commentary. A complete bibliography that contains links to recorded talks by Erich Lehmann – and which are freely accessible to the public – and a list of Ph.D. students are also included. These volumes belong in every statistician’s personal collection and are a required holding for any institutional library.
Book Synopsis Some Investigations in Minimax Estimation Theory by : Stanisław Trybula
Download or read book Some Investigations in Minimax Estimation Theory written by Stanisław Trybula and published by . This book was released on 1985 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Applicationes mathematicae written by and published by . This book was released on 1991 with total page 622 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Local Polynomial Modelling and Its Applications by : Jianqing Fan
Download or read book Local Polynomial Modelling and Its Applications written by Jianqing Fan and published by Routledge. This book was released on 2018-05-02 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: Data-analytic approaches to regression problems, arising from many scientific disciplines are described in this book. The aim of these nonparametric methods is to relax assumptions on the form of a regression function and to let data search for a suitable function that describes the data well. The use of these nonparametric functions with parametric techniques can yield very powerful data analysis tools. Local polynomial modeling and its applications provides an up-to-date picture on state-of-the-art nonparametric regression techniques. The emphasis of the book is on methodologies rather than on theory, with a particular focus on applications of nonparametric techniques to various statistical problems. High-dimensional data-analytic tools are presented, and the book includes a variety of examples. This will be a valuable reference for research and applied statisticians, and will serve as a textbook for graduate students and others interested in nonparametric regression.
Book Synopsis Mathematical Statistics by : Aleksandr Petrovich Korostelev
Download or read book Mathematical Statistics written by Aleksandr Petrovich Korostelev and published by American Mathematical Soc.. This book was released on 2011 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: iPositive Give a man a fish, he eats for a day, but if you teach him to fish, you feed him for life. Such is the approach of iPositive. One day at the gym doesnt make a person fit for life; its a consistent dedication to getting the body in shape that eventually yields results. The lessons in iPositive work in much the same way: They challenge the reader to work to keep the mind in shape. The book is a powerful guide to personal happiness through positivity. Its concepts provide empowerment to overcome self-doubt, disbelief and inferiority complexes in order to transcend the negativity in life. iPositive is geared toward helping individuals become more focused on the things they most want in life, like happiness, love and success, or banish anchors that may be weighting them down, like stress, smoking or excess weight. The book gives readers the practical means to become more focused on those things they want in life, and serves as an inspirational manual for a life of fulfillment, and strength in body, mind and spirit.
Book Synopsis Representations of Orlicz Lattices by : Witold Wnuk
Download or read book Representations of Orlicz Lattices written by Witold Wnuk and published by . This book was released on 1984 with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Minimax Theory of Image Reconstruction by : A.P. Korostelev
Download or read book Minimax Theory of Image Reconstruction written by A.P. Korostelev and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: There exists a large variety of image reconstruction methods proposed by different authors (see e. g. Pratt (1978), Rosenfeld and Kak (1982), Marr (1982)). Selection of an appropriate method for a specific problem in image analysis has been always considered as an art. How to find the image reconstruction method which is optimal in some sense? In this book we give an answer to this question using the asymptotic minimax approach in the spirit of Ibragimov and Khasminskii (1980a,b, 1981, 1982), Bretagnolle and Huber (1979), Stone (1980, 1982). We assume that the image belongs to a certain functional class and we find the image estimators that achieve the best order of accuracy for the worst images in the class. This concept of optimality is rather rough since only the order of accuracy is optimized. However, it is useful for comparing various image reconstruction methods. For example, we show that some popular methods such as simple linewise processing and linear estimation are not optimal for images with sharp edges. Note that discontinuity of images is an important specific feature appearing in most practical situations where one has to distinguish between the "image domain" and the "background" . The approach of this book is based on generalization of nonparametric regression and nonparametric change-point techniques. We discuss these two basic problems in Chapter 1. Chapter 2 is devoted to minimax lower bounds for arbitrary estimators in general statistical models.
Download or read book Rozprawy Matematyczne written by and published by . This book was released on 1990 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book GWAI-84 written by Joachim Laubsch and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Dissertationes Mathematicae written by and published by . This book was released on 1990 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Existence and Regularity of Solutions of Some Elliptic System in Domains with Edges by : Wojciech M. Zajączkowski
Download or read book Existence and Regularity of Solutions of Some Elliptic System in Domains with Edges written by Wojciech M. Zajączkowski and published by . This book was released on 1988 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Separation Axioms, Covering Properties and Inverse Limits Generated by Developable Topological Spaces by : Harald Brandenburg
Download or read book Separation Axioms, Covering Properties and Inverse Limits Generated by Developable Topological Spaces written by Harald Brandenburg and published by . This book was released on 1989 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Reviews written by and published by . This book was released on 1995 with total page 692 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Logic of Categories of Partial Functions and Its Applications by : Adam Obtułowicz
Download or read book The Logic of Categories of Partial Functions and Its Applications written by Adam Obtułowicz and published by . This book was released on 1986 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Lipschitz Equisingularity by : Tadeusz Mostowski
Download or read book Lipschitz Equisingularity written by Tadeusz Mostowski and published by . This book was released on 1985 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Fundamenta Mathematicae written by and published by . This book was released on 1986 with total page 816 pages. Available in PDF, EPUB and Kindle. Book excerpt: