Some Topics In Probability And Analysis
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Some Topics In Probability And Analysis
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Author : R. F. Gundy
language : en
Publisher: American Mathematical Soc.
Release Date : 1989
Some Topics In Probability And Analysis written by R. F. Gundy 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 1989 with Mathematics categories.
This book is based on lectures presented by the author at DePaul University in July 1986. The lectures cover three main topics. The first is local time theory for Brownian motion and some geometrical inequalities for harmonic functions in the upper half-plane $R^{n+1}_+$. The author sketches a proof of the inequalities obtained by Barlow and Yor for the maximal local time functional. The second topic concerns a probabilistic treatment of Riesz transforms in $R^{n+1}_+$, and semimartingale inequalities. The author proves semimartingale inequalities of the type usually obtained for martingales. The final topic centers on a discussion of the Ornstein-Uhlenbeck semigroup and P. A. Meyer's extension of the Riesz inequalities for the infinite-dimensional version of this semigroup. One of the major results of the book is the establishment of inequalities for the density of the area integral.
Stochastic Analysis And Related Topics
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Author : Fabrice Baudoin
language : en
Publisher: Birkhäuser
Release Date : 2017-10-04
Stochastic Analysis And Related Topics written by Fabrice Baudoin and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-04 with Mathematics categories.
The articles in this collection are a sampling of some of the research presented during the conference “Stochastic Analysis and Related Topics”, held in May of 2015 at Purdue University in honor of the 60th birthday of Rodrigo Bañuelos. A wide variety of topics in probability theory is covered in these proceedings, including heat kernel estimates, Malliavin calculus, rough paths differential equations, Lévy processes, Brownian motion on manifolds, and spin glasses, among other topics.
Statistics And Analysis Of Scientific Data
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Author : Massimiliano Bonamente
language : en
Publisher: Springer
Release Date : 2016-11-08
Statistics And Analysis Of Scientific Data written by Massimiliano Bonamente and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-11-08 with Science categories.
The revised second edition of this textbook provides the reader with a solid foundation in probability theory and statistics as applied to the physical sciences, engineering and related fields. It covers a broad range of numerical and analytical methods that are essential for the correct analysis of scientific data, including probability theory, distribution functions of statistics, fits to two-dimensional data and parameter estimation, Monte Carlo methods and Markov chains. Features new to this edition include: • a discussion of statistical techniques employed in business science, such as multiple regression analysis of multivariate datasets. • a new chapter on the various measures of the mean including logarithmic averages. • new chapters on systematic errors and intrinsic scatter, and on the fitting of data with bivariate errors. • a new case study and additional worked examples. • mathematical derivations and theoretical background material have been appropriately marked, to improve the readability of the text. • end-of-chapter summary boxes, for easy reference. As in the first edition, the main pedagogical method is a theory-then-application approach, where emphasis is placed first on a sound understanding of the underlying theory of a topic, which becomes the basis for an efficient and practical application of the material. The level is appropriate for undergraduates and beginning graduate students, and as a reference for the experienced researcher. Basic calculus is used in some of the derivations, and no previous background in probability and statistics is required. The book includes many numerical tables of data, as well as exercises and examples to aid the readers' understanding of the topic.
Some Topics In Probability Theory Combinatorics And Information Theory
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Author : Jiange Li
language : en
Publisher:
Release Date : 2016
Some Topics In Probability Theory Combinatorics And Information Theory written by Jiange Li and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with categories.
This dissertation explores three topics at the intersection of probability theory, combinatorics and information theory. The first part focuses on studying small ball inequalities for sums and differences of independent, identically distributed random variables taking values in very general sets. Depending on the setting (abelian or non-abelian groups, or vector spaces, or Banach spaces) we provide a collection of inequalities relating different small ball probabilities that are sharp in many cases of interest. We show that underlying these distribution-free probabilistic inequalities are inequalities of extremal combinatorial nature, related among other things to classical packing problems such as the kissing number problem. As regards applications, we develop various moment inequalities. The second part is devoted to exploring a formal parallel relation between entropy inequalities in information theory and sumset estimates in additive combinatorics. Our work is closely related to the study of more-sum-than-difference sets in additive combinatorics. Various information theoretical inequalities are obtained, such as the entropy analogue of Freiman-Pigarev inequality. We also present applications of our results in the construction of polar codes with significantly improved error probability compared to the canonical construction. Concentration of measure principle is one of the cornerstones in geometric functional analysis and probability theory, and it is widely used in many other areas. In the third part, we study the concentration property of information content, which is one of the central interests in information theory, and it has great relevance with various other areas such as probability theory, statistics and statistical physics. Sharp exponential deviation estimates for the information content as well as a sharp bound on the varentropy for convex probability measures are obtained on Euclidean spaces.
Statistical Decision Theory And Related Topics V
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Author : Shanti S. Gupta
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Statistical Decision Theory And Related Topics V written by Shanti S. Gupta 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 Business & Economics categories.
The Fifth Purdue International Symposium on Statistical Decision The was held at Purdue University during the period of ory and Related Topics June 14-19,1992. The symposium brought together many prominent leaders and younger researchers in statistical decision theory and related areas. The format of the Fifth Symposium was different from the previous symposia in that in addition to the 54 invited papers, there were 81 papers presented in contributed paper sessions. Of the 54 invited papers presented at the sym posium, 42 are collected in this volume. The papers are grouped into a total of six parts: Part 1 - Retrospective on Wald's Decision Theory and Sequential Analysis; Part 2 - Asymptotics and Nonparametrics; Part 3 - Bayesian Analysis; Part 4 - Decision Theory and Selection Procedures; Part 5 - Probability and Probabilistic Structures; and Part 6 - Sequential, Adaptive, and Filtering Problems. While many of the papers in the volume give the latest theoretical developments in these areas, a large number are either applied or creative review papers.
Frontiers In Analysis And Probability
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Author : Nalini Anantharaman
language : en
Publisher: Springer
Release Date : 2021-11-22
Frontiers In Analysis And Probability written by Nalini Anantharaman and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-11-22 with Mathematics categories.
The volume presents extensive research devoted to a broad spectrum of mathematical analysis and probability theory. Subjects discussed in this Work are those treated in the so-called Strasbourg–Zürich Meetings. These meetings occur twice yearly in each of the cities, Strasbourg and Zürich, venues of vibrant mathematical communication and worldwide gatherings. The topical scope of the book includes the study of monochromatic random waves defined for general Riemannian manifolds, notions of entropy related to a compact manifold of negative curvature, interacting electrons in a random background, lp-cohomology (in degree one) of a graph and its connections with other topics, limit operators for circular ensembles, polyharmonic functions for finite graphs and Markov chains, the ETH-Approach to Quantum Mechanics, 2-dimensional quantum Yang–Mills theory, Gibbs measures of nonlinear Schrödinger equations, interfaces in spectral asymptotics and nodal sets. Contributions in this Work are composed by experts from the international community, who have presented the state-of-the-art research in the corresponding problems treated. This volume is expected to be a valuable resource to both graduate students and research mathematicians working in analysis, probability as well as their interconnections and applications.
Analysis Geometry And Probability
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Author : Rajendra Bhatia
language : en
Publisher: Springer
Release Date : 1997-04-15
Analysis Geometry And Probability written by Rajendra Bhatia and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-04-15 with Mathematics categories.
This book is a collection of expository articles by well-known mathematicians. Some of them introduce the reader to a major topic, while others provide a glimpse into an active field of research. All articles are accessible to graduate students. The articles were invited in honour of K. R. Parthasarathy, a mathematican, teacher and expositor of renown. Some of the articles, by his coworkers, are related to his work on probability, quantum probability and group representations. Others are on diverse topics in analysis, geometry and number theory.
Elements Of Probability And Statistics
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Author : Frank Louis Wolf
language : en
Publisher:
Release Date : 2013-07
Elements Of Probability And Statistics written by Frank Louis Wolf and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07 with categories.
Algorithmic Probability
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Author : Marcel F. Neuts
language : en
Publisher: CRC Press
Release Date : 1995-07-01
Algorithmic Probability written by Marcel F. Neuts and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-07-01 with Mathematics categories.
This unique text collects more than 400 problems in combinatorics, derived distributions, discrete and continuous Markov chains, and models requiring a computer experimental approach. The first book to deal with simplified versions of models encountered in the contemporary statistical or engineering literature, Algorithmic Probability emphasizes correct interpretation of numerical results and visualization of the dynamics of stochastic processes. A significant contribution to the field of applied probability, Algorithmic Probability is ideal both as a secondary text in probability courses and as a reference. Engineers and operations analysts seeking solutions to practical problems will find it a valuable resource, as will advanced undergraduate and graduate students in mathematics, statistics, operations research, industrial and electrical engineering, and computer science.
Quantum Probability And Related Topics Proceedings Of The 32nd Conference
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Author : Franco Fagnola
language : en
Publisher: World Scientific
Release Date : 2012-11-22
Quantum Probability And Related Topics Proceedings Of The 32nd Conference written by Franco Fagnola and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-22 with Mathematics categories.
This volume contains the current research in quantum probability, infinite dimensional analysis and related topics. Contributions by experts in these fields highlight the latest developments and interdisciplinary connections with classical probability, stochastic analysis, white noise analysis, functional analysis and quantum information theory.This diversity shows how research in quantum probability and infinite dimensional analysis is very active and strongly involved in the modern mathematical developments and applications.Tools and techniques presented here will be of great value to researchers.