Algebraic Statistics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Algebraic Statistics write by Seth Sullivant. This book was released on 2018-11-19. Algebraic Statistics available in PDF, EPUB and Kindle. 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.
An Introduction to Algebraic Statistics with Tensors
An Introduction to Algebraic Statistics with Tensors - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook An Introduction to Algebraic Statistics with Tensors write by Cristiano Bocci. This book was released on 2019-09-11. An Introduction to Algebraic Statistics with Tensors available in PDF, EPUB and Kindle. This book provides an introduction to various aspects of Algebraic Statistics with the principal aim of supporting Master’s and PhD students who wish to explore the algebraic point of view regarding recent developments in Statistics. The focus is on the background needed to explore the connections among discrete random variables. The main objects that encode these relations are multilinear matrices, i.e., tensors. The book aims to settle the basis of the correspondence between properties of tensors and their translation in Algebraic Geometry. It is divided into three parts, on Algebraic Statistics, Multilinear Algebra, and Algebraic Geometry. The primary purpose is to describe a bridge between the three theories, so that results and problems in one theory find a natural translation to the others. This task requires, from the statistical point of view, a rather unusual, but algebraically natural, presentation of random variables and their main classical features. The third part of the book can be considered as a short, almost self-contained, introduction to the basic concepts of algebraic varieties, which are part of the fundamental background for all who work in Algebraic Statistics.
Algebraic Statistics for Computational Biology
Algebraic Statistics for Computational Biology - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Algebraic Statistics for Computational Biology write by L. Pachter. This book was released on 2005-08-22. Algebraic Statistics for Computational Biology available in PDF, EPUB and Kindle. This book, first published in 2005, offers an introduction to the application of algebraic statistics to computational biology.
Lectures on Algebraic Statistics
Lectures on Algebraic Statistics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Lectures on Algebraic Statistics write by Mathias Drton. This book was released on 2009-04-25. Lectures on Algebraic Statistics available in PDF, EPUB and Kindle. 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
Algebraic Statistics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Algebraic Statistics write by Giovanni Pistone. This book was released on 2000-12-21. Algebraic Statistics available in PDF, EPUB and Kindle. Written by pioneers in this exciting new field, Algebraic Statistics introduces the application of polynomial algebra to experimental design, discrete probability, and statistics. It begins with an introduction to Grobner bases and a thorough description of their applications to experimental design. A special chapter covers the binary case
