Sign Based Methods In Linear Statistical Models
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Sign Based Methods In Linear Statistical Models
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Author : M. V. Boldin
language : en
Publisher: American Mathematical Soc.
Release Date : 1997-04-22
Sign Based Methods In Linear Statistical Models written by M. V. Boldin and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-04-22 with Mathematics categories.
For nonparametric statistics, the last half of this century was the time when rank-based methods originated, were vigorously developed, reached maturity, and received wide recognition. The rank-based approach in statistics consists in ranking the observed values and using only the ranks rather than the original numerical data. In fitting relationships to observed data, the ranks of residuals from the fitted dependence are used. The signed-based approach is based on the assumption that random errors take positive or negative values with equal probabilities. Under this assumption, the sign procedures are distribution-free. These procedures are robust to violations of model assumptions, for instance, to even a considerable number of gross errors in observations. In addition, sign procedures have fairly high relative asymptotic efficiency, in spite of the obvious loss of information incurred by the use of signs instead of the corresponding numerical values. In this work, sign-based methods in the framework of linear models are developed. In the first part of the book, there are linear and factor models involving independent observations. In the second part, linear models of time series, primarily autoregressive models, are considered.
Sign Based Methods In Linear Statistical Models
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Author : M. V. Boldin
language : en
Publisher:
Release Date : 1997
Sign Based Methods In Linear Statistical Models written by M. V. Boldin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Linear models (Statistics) categories.
For nonparametric statistics, the last half of this century was the time when rank-based methods originated, were vigorously developed, reached maturity, and received wide recognition. The rank-based approach in statistics consists in ranking the observed values and using only the ranks rather than the original numerical data. In fitting relationships to observed data, the ranks of residuals from the fitted dependence are used. The signed-based approach is based on the assumption that random errors take positive or negative values with equal probabilities. Under this assumption, the sign proce.
Far From Equilibrium Dynamics
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Author : Yasumasa Nishiura
language : en
Publisher: American Mathematical Soc.
Release Date : 2002
Far From Equilibrium Dynamics written by Yasumasa Nishiura and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
When different scales exist in the spatial direction, it produces non- uniformity that is frequently characterized by identifiable patterns. This monograph investigates the dynamics of spatio-temporal patterns created by the coexistence of different scales. Of particular concern is how the loss of uniformity requires the fixing of particular scales that cause the loss of the global picture of the system. Singular perturbation theories are discussed as a way out of that dilemma. Various methodologies for studying dissipative systems from the standpoint of separation and unification of scales are presented. The interface dynamics caused by the difference of spatial scales is also given a prominent place in the discussion. Translated from the 1999 Japanese work Hisenkei mondai. 1, Patan keisei no suri. Annotation copyrighted by Book News, Inc., Portland, OR.
An Introduction To Morse Theory
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Author : Yukio Matsumoto
language : en
Publisher: American Mathematical Soc.
Release Date : 2002
An Introduction To Morse Theory written by Yukio Matsumoto and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
This book introduces basic concepts related to finite dimensions, including critical points, the Hessian, and handle decompressions. It first uses surfaces to illustrate these ideas, and then generalizes them to apply to higher dimensions. This treatment then informs a discussion of handlebodies, homology, and low-dimensional manifold theory. Illustrations are provided throughout. c. Book News Inc.
Algebraic Geometry 1
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Author : Kenji Ueno
language : en
Publisher: American Mathematical Soc.
Release Date : 1999
Algebraic Geometry 1 written by Kenji Ueno and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.
By studying algebraic varieties over a field, this book demonstrates how the notion of schemes is necessary in algebraic geometry. It gives a definition of schemes and describes some of their elementary properties.
Analysis Of Several Complex Variables
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Author : Takeo Ōsawa
language : en
Publisher: American Mathematical Soc.
Release Date : 2002
Analysis Of Several Complex Variables written by Takeo Ōsawa and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
This monograph describes real analysis approaches to the study of functions of several complex variables, and describes how these methods produce global existence theorems in the theory of functions. The book brings particular attention to recent results with implications for the understanding of pseudoconvexity and plurisubharmonic functions. Based on Oka's theorems and his schema for the grouping of problems, the discussion integrates the theory of analytic functions of several variables and mathematical analysis. Annotation copyrighted by Book News, Inc., Portland, OR.
Second Order Equations Of Elliptic And Parabolic Type
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Author : E. M. Landis
language : en
Publisher: American Mathematical Soc.
Release Date : 1997-12-02
Second Order Equations Of Elliptic And Parabolic Type written by E. M. Landis and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-12-02 with categories.
Most books on elliptic and parabolic equations emphasize existence and uniqueness of solutions. By contrast, this book focuses on the qualitative properties of solutions. In addition to the discussion of classical results for equations with smooth coefficients (Schauder estimates and the solvability of the Dirichlet problem for elliptic equations; the Dirichlet problem for the heat equation), the book describes properties of solutions to second order elliptic and parabolic equations with measurable coefficients near the boundary and at infinity. The book presents a fine elementary introduction to the theory of elliptic and parabolic equations of second order. The precise and clear exposition is suitable for graduate students as well as for research mathematicians who want to get acquainted with this area of the theory of partial differential equations.
Algebraic Topology An Intuitive Approach
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Author : Hajime Satō
language : en
Publisher: American Mathematical Soc.
Release Date : 1999
Algebraic Topology An Intuitive Approach written by Hajime Satō and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.
Develops an introduction to algebraic topology mainly through simple examples built on cell complexes. Topics covers include homeomorphisms, topological spaces and cell complexes, homotopy, homology, cohomology, the universal coefficient theorem, fiber bundles and vector bundles, and spectral sequences. Includes chapter summaries, exercises, and answers. Includes an appendix of definitions in sets, topology, and groups. Originally published in Japanese by Iwanami Shoten, Publishers, Tokyo, 1996. Annotation copyrighted by Book News, Inc., Portland, OR
Advances In Moduli Theory
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Author : Kenji Ueno
language : en
Publisher: American Mathematical Soc.
Release Date : 2002
Advances In Moduli Theory written by Kenji Ueno and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
The word ``moduli'' in the sense of this book first appeared in the epoch-making paper of B. Riemann, Theorie der Abel'schen Funktionen, published in 1857. Riemann defined a Riemann surface of an algebraic function field as a branched covering of a one-dimensional complex projective space, and found out that Riemann surfaces have parameters. This work gave birth to the theory of moduli. However, the viewpoint regarding a Riemann surface as an algebraic curve became the mainstream,and the moduli meant the parameters for the figures (graphs) defined by equations. In 1913, H. Weyl defined a Riemann surface as a complex manifold of dimension one. Moreover, Teichmuller's theory of quasiconformal mappings and Teichmuller spaces made a start for new development of the theory ofmoduli, making possible a complex analytic approach toward the theory of moduli of Riemann surfaces. This theory was then investigated and made complete by Ahlfors, Bers, Rauch, and others. However, the theory of Teichmuller spaces utilized the special nature of complex dimension one, and it was difficult to generalize it to an arbitrary dimension in a direct way. It was Kodaira-Spencer's deformation theory of complex manifolds that allowed one to study arbitrary dimensional complex manifolds.Initial motivation in Kodaira-Spencer's discussion was the need to clarify what one should mean by number of moduli. Their results, together with further work by Kuranishi, provided this notion with intrinsic meaning. This book begins by presenting the Kodaira-Spencer theory in its original naiveform in Chapter 1 and introduces readers to moduli theory from the viewpoint of complex analytic geometry. Chapter 2 briefly outlines the theory of period mapping and Jacobian variety for compact Riemann surfaces, with the Torelli theorem as a goal. The theory of period mappings for compact Riemann surfaces can be generalized to the theory of period mappings in terms of Hodge structures for compact Kahler manifolds. In Chapter 3, the authors state the theory of Hodge structures, focusingbriefly on period mappings. Chapter 4 explains conformal field theory as an application of moduli theory. This is the English translation of a book originally published in Japanese. Other books by Kenji Ueno published in this AMS series, Translations of Mathematical Monographs, include An Introduction toAlgebraic Geometry, Volume 166, Algebraic Geometry 1: From Algebraic Varieties to Schemes, Volume 185, and Algebraic Geometry 2: Sheaves and Cohomology, Volume 197.
Modelling Community Structure In Freshwater Ecosystems
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Author : Sovan Lek
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-02-14
Modelling Community Structure In Freshwater Ecosystems written by Sovan Lek 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 2005-02-14 with Science categories.
This volume presents approaches and methodologies for predicting the structure and diversity of key aquatic communities (namely, diatoms, benthic macroinvertebrates and fish), under natural conditions and under man-made disturbance. The intent is to offer an organized means for modeling, evaluating and restoring freshwater ecosystems.