Algebraic Methods In Statistics And Probability Ii
Algebraic Methods In Statistics And Probability Ii Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Algebraic Methods In Statistics And Probability Ii book. This book definitely worth reading, it is an incredibly well-written.
Algebraic Methods in Statistics and Probability II by Marlos A. G. Viana Pdf
A decade after the publication of Contemporary Mathematics Vol. 287, the present volume demonstrates the consolidation of important areas, such as algebraic statistics, computational commutative algebra, and deeper aspects of graphical models. --
Marlos A. G. Viana,Ams Special Session on Algebraic Methods in Statistics,Donald St. P. Richards
Author : Marlos A. G. Viana,Ams Special Session on Algebraic Methods in Statistics,Donald St. P. Richards Publisher : American Mathematical Soc. Page : 354 pages File Size : 55,7 Mb Release : 2001 Category : Algebra ISBN : 9780821826874
Algebraic Methods in Statistics and Probability by Marlos A. G. Viana,Ams Special Session on Algebraic Methods in Statistics,Donald St. P. Richards Pdf
The 23 papers report recent developments in using the technique to help clarify the relationship between phenomena and data in a number of natural and social sciences. Among the topics are a coordinate-free approach to multivariate exponential families, some rank-based hypothesis tests for covariance structure and conditional independence, deconvolution density estimation on compact Lie groups, random walks on regular languages and algebraic systems of generating functions, and the extendibility of statistical models. There is no index. c. Book News Inc.
Lectures on Algebraic Statistics by Mathias Drton,Bernd Sturmfels,Seth Sullivant Pdf
How does an algebraic geometer studying secant varieties further the understanding of hypothesis tests in statistics? Why would a statistician working on factor analysis raise open problems about determinantal varieties? Connections of this type are at the heart of the new field of "algebraic statistics". In this field, mathematicians and statisticians come together to solve statistical inference problems using concepts from algebraic geometry as well as related computational and combinatorial techniques. The goal of these lectures is to introduce newcomers from the different camps to algebraic statistics. The introduction will be centered around the following three observations: many important statistical models correspond to algebraic or semi-algebraic sets of parameters; the geometry of these parameter spaces determines the behaviour of widely used statistical inference procedures; computational algebraic geometry can be used to study parameter spaces and other features of statistical models.
Algebraic statistics uses tools from algebraic geometry, commutative algebra, combinatorics, and their computational sides to address problems in statistics and its applications. The starting point for this connection is the observation that many statistical models are semialgebraic sets. The algebra/statistics connection is now over twenty years old, and this book presents the first broad introductory treatment of the subject. Along with background material in probability, algebra, and statistics, this book covers a range of topics in algebraic statistics including algebraic exponential families, likelihood inference, Fisher's exact test, bounds on entries of contingency tables, design of experiments, identifiability of hidden variable models, phylogenetic models, and model selection. With numerous examples, references, and over 150 exercises, this book is suitable for both classroom use and independent study.
Statistics in the Public Interest by Alicia L. Carriquiry,Judith M. Tanur,William F. Eddy Pdf
This edited volume surveys a variety of topics in statistics and the social sciences in memory of the late Stephen Fienberg. The book collects submissions from a wide range of contemporary authors to explore the fields in which Fienberg made significant contributions, including contingency tables and log-linear models, privacy and confidentiality, forensics and the law, the decennial census and other surveys, the National Academies, Bayesian theory and methods, causal inference and causes of effects, mixed membership models, and computing and machine learning. Each section begins with an overview of Fienberg’s contributions and continues with chapters by Fienberg’s students, colleagues, and collaborators exploring recent advances and the current state of research on the topic. In addition, this volume includes a biographical introduction as well as a memorial concluding chapter comprised of entries from Stephen and Joyce Fienberg’s close friends, former students, colleagues, and other loved ones, as well as a photographic tribute.
Mathematical Optics by Vasudevan Lakshminarayanan,María L. Calvo,Tatiana Alieva Pdf
Going beyond standard introductory texts, Mathematical Optics: Classical, Quantum, and Computational Methods brings together many new mathematical techniques from optical science and engineering research. Profusely illustrated, the book makes the material accessible to students and newcomers to the field. Divided into six parts, the text presents state-of-the-art mathematical methods and applications in classical optics, quantum optics, and image processing. Part I describes the use of phase space concepts to characterize optical beams and the application of dynamic programming in optical waveguides. Part II explores solutions to paraxial, linear, and nonlinear wave equations. Part III discusses cutting-edge areas in transformation optics (such as invisibility cloaks) and computational plasmonics. Part IV uses Lorentz groups, dihedral group symmetry, Lie algebras, and Liouville space to analyze problems in polarization, ray optics, visual optics, and quantum optics. Part V examines the role of coherence functions in modern laser physics and explains how to apply quantum memory channel models in quantum computers. Part VI introduces super-resolution imaging and differential geometric methods in image processing. As numerical/symbolic computation is an important tool for solving numerous real-life problems in optical science, many chapters include Mathematica® code in their appendices. The software codes and notebooks as well as color versions of the book’s figures are available at www.crcpress.com.
High Dimensional Probability II by Evarist Giné,David M. Mason,Jon A. Wellner Pdf
High dimensional probability, in the sense that encompasses the topics rep resented in this volume, began about thirty years ago with research in two related areas: limit theorems for sums of independent Banach space valued random vectors and general Gaussian processes. An important feature in these past research studies has been the fact that they highlighted the es sential probabilistic nature of the problems considered. In part, this was because, by working on a general Banach space, one had to discard the extra, and often extraneous, structure imposed by random variables taking values in a Euclidean space, or by processes being indexed by sets in R or Rd. Doing this led to striking advances, particularly in Gaussian process theory. It also led to the creation or introduction of powerful new tools, such as randomization, decoupling, moment and exponential inequalities, chaining, isoperimetry and concentration of measure, which apply to areas well beyond those for which they were created. The general theory of em pirical processes, with its vast applications in statistics, the study of local times of Markov processes, certain problems in harmonic analysis, and the general theory of stochastic processes are just several of the broad areas in which Gaussian process techniques and techniques from probability in Banach spaces have made a substantial impact. Parallel to this work on probability in Banach spaces, classical proba bility and empirical process theory were enriched by the development of powerful results in strong approximations.
Probability Measures on Semigroups by Göran Högnäs,Arunava Mukherjea Pdf
This second edition presents up-to-date material on the theory of weak convergance of convolution products of probability measures in semigroups, the theory of random walks on semigroups, and their applications to products of random matrices. In addition, this unique work examines the essentials of abstract semigroup theory and its application to concrete semigroups of matrices. This substantially revised text includes exercises at various levels at the end of each section and includes the best available proofs on the most important theorems used in a book, making it suitable for a one semester course on semigroups. In addition, it could also be used as a main text or supplementary material for courses focusing on probability on algebraic structures or weak convergance. This book is ideally suited to graduate students in mathematics, and students in other fields, such as engineering and the sciences with an interest in probability. Students in statistics using advanced probability will also find this book useful.
Combinatorial Algebraic Geometry by Gregory G. Smith,Bernd Sturmfels Pdf
This volume consolidates selected articles from the 2016 Apprenticeship Program at the Fields Institute, part of the larger program on Combinatorial Algebraic Geometry that ran from July through December of 2016. Written primarily by junior mathematicians, the articles cover a range of topics in combinatorial algebraic geometry including curves, surfaces, Grassmannians, convexity, abelian varieties, and moduli spaces. This book bridges the gap between graduate courses and cutting-edge research by connecting historical sources, computation, explicit examples, and new results.
Simplified Algebra (Volume 2) by Kingsley Augustine Pdf
This book, Simplified Algebra (Volume 2): with Statistics and Probability, has been carefully written to teach you the major topics in statistics and probability by explaining them with a mindset to fully equip you in the topics. This eBook is a mathematics teacher which is suitable for students in high schools and colleges. It also serves as a useful tool for students who are preparing for entrance examinations into colleges and universities. The step by step explanations presented in the numerous worked examples are easy to understand since care was taken to sufficiently explain salient points and mathematical ideas. This book will boost your level of understanding of algebra, statistics and probability. Numerous exercises at the end of each chapter are given to test students' understanding of the topics. The topics covered in this eBook include: QUADRATIC EQUATION WORD PROBLEMS LEADING TO QUADRATIC EQUATIONS VARIATION SIMULTANEOUS LINEAR AND QUADRATIC EQUATIONS LINEAR INEQUALITY AND LINEAR PROGRAMMING QUADRATIC INEQUALITY INTRODUCTORY VECTOR ALGEBRA COLLECTION AND TABULATION OF DATA MEAN, MEDIAN AND MODE OF UNGROUPED DATA COLLECTION AND TABULATION OF GROUPED DATA MEAN, MEDIAN AND MODE OF GROUPED DATA MEAN DEVIATION VARIANCE AND STANDARD DEVIATION QUARTILES AND PERCENTILES BY INTERPOLATION METHOD THE BASIC THEORY OF PROBABILITY PROBABILITY ON SIMPLE EVENTS PROBABILITY ON PACK OF PLAYING CARDS PROBABILITY ON TOSSING OF COINS PROBABILITY ON THROWING OF DICE MISCELLANEOUS PROBLEMS ON PROBABILITY These topics are well simplified for easy understanding. There are three more books in this series. I strongly recommend each of them to candidates, students and teachers of Mathematics.
Algebraic Aspects of Darboux Transformations, Quantum Integrable Systems and Supersymmetric Quantum Mechanics by Primitivo B. Acosta Humanez Pdf
This volume represents the 2010 Jairo Charris Seminar in Algebraic Aspects of Darboux Transformations, Quantum Integrable Systems and Supersymmetric Quantum Mechanics, which was held at the Universidad Sergio Arboleda in Santa Marta, Colombia. The papers cover the fields of Supersymmetric Quantum Mechanics and Quantum Integrable Systems, from an algebraic point of view. Some results presented in this volume correspond to the analysis of Darboux Transformations in higher order as well as some exceptional orthogonal polynomials. The reader will find an interesting Galois approach to study finite gap potentials. This book is published in cooperation with Instituto de Matematicas y sus Aplicaciones (IMA).
Topology of Algebraic Varieties and Singularities by José Ignacio Cogolludo-Agustín,Eriko Hironaka Pdf
This volume contains invited expository and research papers from the conference Topology of Algebraic Varieties, in honour of Anatoly Libgober's 60th birthday, held June 22-26, 2009, in Jaca, Spain.
Understanding Advanced Statistical Methods by Peter Westfall,Kevin S. S. Henning Pdf
Providing a much-needed bridge between elementary statistics courses and advanced research methods courses, Understanding Advanced Statistical Methods helps students grasp the fundamental assumptions and machinery behind sophisticated statistical topics, such as logistic regression, maximum likelihood, bootstrapping, nonparametrics, and Bayesian me
