کتاب دانلود کتب لاتین علوم مهندسیآمار و احتمال
مقدمه ای بر آمار جبری با تنسور ها
مقدمه ای بر آمار جبری با تنسور ها

An Introduction to Algebraic Statistics with Tensors
سال انتشار: 2019
تعداد صفحات: 240
زبان فایل: English
فرمت فایل: pdf
حجم فایل: 4MB

دانلود رایگان

Publisher : Springer

ISBN-10 : 303024623X

ISBN-13 : 978-3030246235

ASIN : B07XZLMZJ3

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.