Evaluating Statistical Functionals By Means Of Projections Onto Convex Cones In Hilbert Spaces
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Applied Mathematics Reviews
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Author : George A Anastassiou
language : en
Publisher: World Scientific
Release Date : 2000-06-09
Applied Mathematics Reviews written by George A Anastassiou and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-06-09 with Mathematics categories.
Applied mathematics connects the mathematical theory to the reality by solving real world problems and shows the power of the science of mathematics, greatly improving our lives. Therefore it plays a very active and central role in the scientific world. This volume contains 14 high quality survey articles — incorporating original results and describing the main research activities of contemporary applied mathematics — written by top people in the field. The articles have been written in review style, so that the researcher can have a quick and thorough view of what is happening in the main subfields of applied mathematics. Contents:Two Contemporary Computational Concepts in Numerical Analysis (I K Argyros)On the Simultaneous Approximation of Functions and Their Derivatives (T Kilgore)Copositive Polynomial Approximation Revisited (Y K Hu & X M Yu)Sampling Theory and Function Spaces (H-J Schmeisser & W Sickel)Evaluating Statistical Functionals by Means of Projections onto Convex Cones in Hilbert Spaces: Part I and II (T Rychlik)Extrapolation: From Calculation of π to Finite Element Method of Partial Differential Equations (X-P Shen)A Survey on Scaling Function Interpolation and Approximation (E-B Lin)and other papers Readership: Applied mathematicians, statisticians, economists and engineers. Keywords:Singular Integrals;Numerical Analysis;Convolution Operators;Approximation of Functions;Minimal Projection;Fuzzy Control;Sampling Theory;Stable Financial Modelling;Ill-Posed Problems;Finite Element Method
Applied Mathematics Reviews
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Author : George A. Anastassiou
language : en
Publisher: World Scientific
Release Date : 2000
Applied Mathematics Reviews written by George A. Anastassiou and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.
Applied mathematics connects the mathematical theory to the reality by solving real world problems and shows the power of the science of mathematics, greatly improving our lives. Therefore it plays a very active and central role in the scientific world. This volume contains 14 high quality survey articles -- incorporating original results and describing the main research activities of contemporary applied mathematics -- written by top people in the field. The articles have been written in review style, so that the researcher can have a quick and thorough view of what is happening in the main subfields of applied mathematics.
Projecting Statistical Functionals
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Author : Tomasz Rychlik
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Projecting Statistical Functionals written by Tomasz Rychlik and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
This book presents a method of establishing explicit solutions to classical problems of calculating the best lower and upper mean-variance bounds. The following families of distributions are taken into account: arbitrary, symmetric, symmetric unimodal, and U-shaped. The book is addressed to students, researchers, and practitioners in statistics and applied probability. Most of the results are recent, and a significant part of them has not been published yet. Numerous open problems are stated in the text.
Applied Mathematics Reviews
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Author : George A. Anastassiou
language : en
Publisher: OECD Publishing
Release Date : 2000
Applied Mathematics Reviews written by George A. Anastassiou and has been published by OECD Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.
Convergence of generalized singular integrals to the unit, multivariate case / George A. Anastassiou and Sorin G. Gal -- Two contemporary computational concepts in numerical analysis / Ioannis K. Argyros -- Linear integral operators with homogeneous kernel: Approximation properties in modular spaces. Applications to Mellin-type convolution operators and to some classes of fractional operators / Carlo Bardaro and Ilaria Mantellini -- On the simultaneous approximation of functions and their derivatives / Theodore Kilgore -- On the computation of minimal projections: Millennium report / B.L. Chalmers, F.T. Metcalf, and B. Shekhtman -- Copositive polynomial approximation revisited / Ying Kang Hu and Xiang Ming Yu -- Neuro-fuzzy adaptive control: Structure, algorithms, and performance / Augustine O. Esogbue -- Sampling theory and function spaces / Hans-Jurgen Schmeisser and Winfried Sickel -- Computational issues in stable financial modeling / Carlo Marinelli and Svetlozar T. Rachev -- Performance measurements: The stable paretian approach / G. Gotzenberger, S.T. Rachev, and E. Schwarz -- Evaluating statistical functionals by means of projections onto convex cones in Hilbert spaces: Part I & II / Thomas Rychlik -- Dynamical systems and discrete methods for solving nonlinear ill-posed problems / Ruben G. Airapetyan and Alexander G. Ramm -- Extrapolation: From calculation of [symbol] to finite element method of partial differential equations / Xiaoping Shen -- A survey on scaling function interpolation and approximation / En-Bing Lin
Projecting Statistical Functionals
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Author : Tomasz Rychlik
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-04-20
Projecting Statistical Functionals written by Tomasz Rychlik and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-04-20 with Mathematics categories.
This book presents a method of establishing explicit solutions to classical problems of calculating the best lower and upper mean-variance bounds. The following families of distributions are taken into account: arbitrary, symmetric, symmetric unimodal, and U-shaped. The book is addressed to students, researchers, and practitioners in statistics and applied probability. Most of the results are recent, and a significant part of them has not been published yet. Numerous open problems are stated in the text.
Mathematical Reviews
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Author :
language : en
Publisher:
Release Date : 2001
Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.
Teorii A Veroi A Tnoste I Ee Primenenii A
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Author :
language : ru
Publisher:
Release Date : 2002
Teorii A Veroi A Tnoste I Ee Primenenii A written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Probabilities categories.
Convex Optimization
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Author : Stephen P. Boyd
language : en
Publisher: Cambridge University Press
Release Date : 2004-03-08
Convex Optimization written by Stephen P. Boyd and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-03-08 with Business & Economics categories.
Convex optimization problems arise frequently in many different fields. This book provides a comprehensive introduction to the subject, and shows in detail how such problems can be solved numerically with great efficiency. The book begins with the basic elements of convex sets and functions, and then describes various classes of convex optimization problems. Duality and approximation techniques are then covered, as are statistical estimation techniques. Various geometrical problems are then presented, and there is detailed discussion of unconstrained and constrained minimization problems, and interior-point methods. The focus of the book is on recognizing convex optimization problems and then finding the most appropriate technique for solving them. It contains many worked examples and homework exercises and will appeal to students, researchers and practitioners in fields such as engineering, computer science, mathematics, statistics, finance and economics.
Proximal Algorithms
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Author : Neal Parikh
language : en
Publisher: Now Pub
Release Date : 2013-11
Proximal Algorithms written by Neal Parikh and has been published by Now Pub this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11 with Mathematics categories.
Proximal Algorithms discusses proximal operators and proximal algorithms, and illustrates their applicability to standard and distributed convex optimization in general and many applications of recent interest in particular. Much like Newton's method is a standard tool for solving unconstrained smooth optimization problems of modest size, proximal algorithms can be viewed as an analogous tool for nonsmooth, constrained, large-scale, or distributed versions of these problems. They are very generally applicable, but are especially well-suited to problems of substantial recent interest involving large or high-dimensional datasets. Proximal methods sit at a higher level of abstraction than classical algorithms like Newton's method: the base operation is evaluating the proximal operator of a function, which itself involves solving a small convex optimization problem. These subproblems, which generalize the problem of projecting a point onto a convex set, often admit closed-form solutions or can be solved very quickly with standard or simple specialized methods. Proximal Algorithms discusses different interpretations of proximal operators and algorithms, looks at their connections to many other topics in optimization and applied mathematics, surveys some popular algorithms, and provides a large number of examples of proximal operators that commonly arise in practice.
Semidefinite Optimization And Convex Algebraic Geometry
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Author : Grigoriy Blekherman
language : en
Publisher: SIAM
Release Date : 2013-03-21
Semidefinite Optimization And Convex Algebraic Geometry written by Grigoriy Blekherman and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-21 with Mathematics categories.
An accessible introduction to convex algebraic geometry and semidefinite optimization. For graduate students and researchers in mathematics and computer science.