Probabilistic Inequalities

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Probabilistic Inequalities

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 43,8 Mb
Release : 2024-06-29
Category : Electronic
ISBN : 9789814467131

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Probabilistic Inequalities by Anonim Pdf

Probability Inequalities

Author : Zhengyan Lin,Zhidong Bai
Publisher : Springer Science & Business Media
Page : 192 pages
File Size : 44,8 Mb
Release : 2011-05-30
Category : Mathematics
ISBN : 9783642052613

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Probability Inequalities by Zhengyan Lin,Zhidong Bai Pdf

Inequality has become an essential tool in many areas of mathematical research, for example in probability and statistics where it is frequently used in the proofs. "Probability Inequalities" covers inequalities related with events, distribution functions, characteristic functions, moments and random variables (elements) and their sum. The book shall serve as a useful tool and reference for scientists in the areas of probability and statistics, and applied mathematics. Prof. Zhengyan Lin is a fellow of the Institute of Mathematical Statistics and currently a professor at Zhejiang University, Hangzhou, China. He is the prize winner of National Natural Science Award of China in 1997. Prof. Zhidong Bai is a fellow of TWAS and the Institute of Mathematical Statistics; he is a professor at the National University of Singapore and Northeast Normal University, Changchun, China.

Inequalities in Statistics and Probability

Author : Yung Liang Tong
Publisher : IMS
Page : 270 pages
File Size : 45,9 Mb
Release : 1984
Category : Mathematics
ISBN : 0940600048

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Inequalities in Statistics and Probability by Yung Liang Tong Pdf

Probabilistic Graphical Models for Computer Vision.

Author : Qiang Ji
Publisher : Academic Press
Page : 322 pages
File Size : 53,5 Mb
Release : 2019-12-12
Category : Technology & Engineering
ISBN : 9780128034958

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Probabilistic Graphical Models for Computer Vision. by Qiang Ji Pdf

Probabilistic Graphical Models for Computer Vision introduces probabilistic graphical models (PGMs) for computer vision problems and teaches how to develop the PGM model from training data. This book discusses PGMs and their significance in the context of solving computer vision problems, giving the basic concepts, definitions and properties. It also provides a comprehensive introduction to well-established theories for different types of PGMs, including both directed and undirected PGMs, such as Bayesian Networks, Markov Networks and their variants. Discusses PGM theories and techniques with computer vision examples Focuses on well-established PGM theories that are accompanied by corresponding pseudocode for computer vision Includes an extensive list of references, online resources and a list of publicly available and commercial software Covers computer vision tasks, including feature extraction and image segmentation, object and facial recognition, human activity recognition, object tracking and 3D reconstruction

Advances in Inequalities from Probability Theory and Statistics

Author : Neil S. Barnett
Publisher : Nova Publishers
Page : 244 pages
File Size : 40,7 Mb
Release : 2008
Category : Mathematics
ISBN : 1600219438

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Advances in Inequalities from Probability Theory and Statistics by Neil S. Barnett Pdf

This is the first in a series of research monographs that focus on the research, development and use of inequalities in probability and statistics. All of the papers have been peer refereed and this first edition covers a range of topics that include both survey material of published work as well as new results appearing in print for the first time.

Stochastic Inequalities and Applications

Author : Evariste Giné,Christian Houdré,David Nualart
Publisher : Birkhäuser
Page : 362 pages
File Size : 47,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034880695

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Stochastic Inequalities and Applications by Evariste Giné,Christian Houdré,David Nualart Pdf

Concentration inequalities, which express the fact that certain complicated random variables are almost constant, have proven of utmost importance in many areas of probability and statistics. This volume contains refined versions of these inequalities, and their relationship to many applications particularly in stochastic analysis. The broad range and the high quality of the contributions make this book highly attractive for graduates, postgraduates and researchers in the above areas.

Modern Cryptography, Probabilistic Proofs and Pseudorandomness

Author : Oded Goldreich
Publisher : Springer Science & Business Media
Page : 192 pages
File Size : 42,8 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9783662125212

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Modern Cryptography, Probabilistic Proofs and Pseudorandomness by Oded Goldreich Pdf

Cryptography is one of the most active areas in current mathematics research and applications. This book focuses on cryptography along with two related areas: the study of probabilistic proof systems, and the theory of computational pseudorandomness. Following a common theme that explores the interplay between randomness and computation, the important notions in each field are covered, as well as novel ideas and insights.

High Dimensional Probability

Author : Evarist Giné
Publisher : IMS
Page : 288 pages
File Size : 44,6 Mb
Release : 2006
Category : Mathematics
ISBN : 0940600676

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High Dimensional Probability by Evarist Giné Pdf

Randomized Algorithms for Analysis and Control of Uncertain Systems

Author : Roberto Tempo,Giuseppe Calafiore,Fabrizio Dabbene
Publisher : Springer Science & Business Media
Page : 376 pages
File Size : 50,5 Mb
Release : 2004-09-28
Category : Computers
ISBN : 1852335246

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Randomized Algorithms for Analysis and Control of Uncertain Systems by Roberto Tempo,Giuseppe Calafiore,Fabrizio Dabbene Pdf

Moving on from earlier stochastic and robust control paradigms, this book introduces the fundamentals of probabilistic methods in the analysis and design of uncertain systems. The use of randomized algorithms, guarantees a reduction in the computational complexity of classical robust control algorithms and in the conservativeness of methods like H-infinity control. Features: • self-contained treatment explaining randomized algorithms from their genesis in the principles of probability theory to their use for robust analysis and controller synthesis; • comprehensive treatment of sample generation, including consideration of the difficulties involved in obtaining independent and identically distributed samples; • applications in congestion control of high-speed communications networks and the stability of quantized sampled-data systems. This monograph will be of interest to theorists concerned with robust and optimal control techniques and to all control engineers dealing with system uncertainties.

Advanced Mathematical Tools for Automatic Control Engineers: Volume 2

Author : Alexander S. Poznyak
Publisher : Elsevier
Page : 568 pages
File Size : 46,6 Mb
Release : 2009-08-13
Category : Technology & Engineering
ISBN : 9780080914039

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Advanced Mathematical Tools for Automatic Control Engineers: Volume 2 by Alexander S. Poznyak Pdf

Advanced Mathematical Tools for Automatic Control Engineers, Volume 2: Stochastic Techniques provides comprehensive discussions on statistical tools for control engineers. The book is divided into four main parts. Part I discusses the fundamentals of probability theory, covering probability spaces, random variables, mathematical expectation, inequalities, and characteristic functions. Part II addresses discrete time processes, including the concepts of random sequences, martingales, and limit theorems. Part III covers continuous time stochastic processes, namely Markov processes, stochastic integrals, and stochastic differential equations. Part IV presents applications of stochastic techniques for dynamic models and filtering, prediction, and smoothing problems. It also discusses the stochastic approximation method and the robust stochastic maximum principle. Provides comprehensive theory of matrices, real, complex and functional analysis Provides practical examples of modern optimization methods that can be effectively used in variety of real-world applications Contains worked proofs of all theorems and propositions presented

Probabilistic Combinatorics and Its Applications

Author : Béla Bollobás,Fan R. K. Chung
Publisher : American Mathematical Soc.
Page : 196 pages
File Size : 42,9 Mb
Release : 1991
Category : Mathematics
ISBN : 9780821855003

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Probabilistic Combinatorics and Its Applications by Béla Bollobás,Fan R. K. Chung Pdf

Probabilistic methods have become a vital tool in the arsenal of every combinatorialist. The theory of random graphs is still a prime area for the use of probabilistic methods, and, over the years, these methods have also proved of paramount importance in many associated areas such as the design and analysis of computer algorithms. In recent years, probabilistic combinatorics has undergone revolutionary changes as the result of the appearance of some exciting new techniques such as martingale inequalities, discrete isoperimetric inequalities, Fourier analysis on groups, eigenvalue techniques, branching processes, and rapidly mixing Markov chains. The aim of this volume is to review briefly the classical results in the theory of random graphs and to present several of the important recent developments in probabilistic combinatorics, together with some applications. The first paper contains a brief introduction to the theory of random graphs.The second paper reviews explicit constructions of random-like graphs and discusses graphs having a variety of useful properties. Isoperimetric inequalities, of paramount importance in probabilistic combinatorics, are covered in the third paper. The chromatic number of random graphs is presented in the fourth paper, together with a beautiful inequality due to Janson and the important and powerful Stein-Chen method for Poisson approximation. The aim of the fifth paper is to present a number of powerful new methods for proving that a Markov chain is 'rapidly mixing' and to survey various related questions, while the sixth paper looks at the same topic in a very different context. For the random walk on the cube, the convergence to the stable distribution is best analyzed through Fourier analysis; the final paper examines this topic and proceeds to several more sophisticated applications. Open problems can be found throughout each paper.

Inequalities in Analysis and Probability

Author : Odile Pons
Publisher : World Scientific
Page : 308 pages
File Size : 40,5 Mb
Release : 2016-11-03
Category : Mathematics
ISBN : 9789813144002

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Inequalities in Analysis and Probability by Odile Pons Pdf

The book is aimed at graduate students and researchers with basic knowledge of Probability and Integration Theory. It introduces classical inequalities in vector and functional spaces with applications to probability. It also develops new extensions of the analytical inequalities, with sharper bounds and generalizations to the sum or the supremum of random variables, to martingales and to transformed Brownian motions. The proofs of many new results are presented in great detail. Original tools are developed for spatial point processes and stochastic integration with respect to local martingales in the plane. This second edition covers properties of random variables and time continuous local martingales with a discontinuous predictable compensator, with exponential inequalities and new inequalities for their maximum variable and their p-variations. A chapter on stochastic calculus presents the exponential sub-martingales developed for stationary processes and their properties. Another chapter devoted itself to the renewal theory of processes and to semi-Markovian processes, branching processes and shock processes. The Chapman–Kolmogorov equations for strong semi-Markovian processes provide equations for their hitting times in a functional setting which extends the exponential properties of the Markovian processes.

Probability Theory and Statistical Inference

Author : Aris Spanos
Publisher : Cambridge University Press
Page : 787 pages
File Size : 42,5 Mb
Release : 2019-09-19
Category : Business & Economics
ISBN : 9781107185142

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Probability Theory and Statistical Inference by Aris Spanos Pdf

This empirical research methods course enables informed implementation of statistical procedures, giving rise to trustworthy evidence.

Uncertainty Quantification in Variational Inequalities

Author : Joachim Gwinner,Baasansuren Jadamba,Akhtar A. Khan,Fabio Raciti
Publisher : CRC Press
Page : 405 pages
File Size : 55,6 Mb
Release : 2021-12-24
Category : Mathematics
ISBN : 9781351857673

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Uncertainty Quantification in Variational Inequalities by Joachim Gwinner,Baasansuren Jadamba,Akhtar A. Khan,Fabio Raciti Pdf

Uncertainty Quantification (UQ) is an emerging and extremely active research discipline which aims to quantitatively treat any uncertainty in applied models. The primary objective of Uncertainty Quantification in Variational Inequalities: Theory, Numerics, and Applications is to present a comprehensive treatment of UQ in variational inequalities and some of its generalizations emerging from various network, economic, and engineering models. Some of the developed techniques also apply to machine learning, neural networks, and related fields. Features First book on UQ in variational inequalities emerging from various network, economic, and engineering models Completely self-contained and lucid in style Aimed for a diverse audience including applied mathematicians, engineers, economists, and professionals from academia Includes the most recent developments on the subject which so far have only been available in the research literature

The Return of Inequality

Author : Mike Savage
Publisher : Harvard University Press
Page : 449 pages
File Size : 41,7 Mb
Release : 2021-05-18
Category : Social Science
ISBN : 9780674259645

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The Return of Inequality by Mike Savage Pdf

A pioneering book that takes us beyond economic debate to show how inequality is returning us to a past dominated by empires, dynastic elites, and ethnic divisions. The economic facts of inequality are clear. The rich have been pulling away from the rest of us for years, and the super-rich have been pulling away from the rich. More and more assets are concentrated in fewer and fewer hands. Mainstream economists say we need not worry; what matters is growth, not distribution. In The Return of Inequality, acclaimed sociologist Mike Savage pushes back, explaining inequality’s profound deleterious effects on the shape of societies. Savage shows how economic inequality aggravates cultural, social, and political conflicts, challenging the coherence of liberal democratic nation-states. Put simply, severe inequality returns us to the past. By fracturing social bonds and harnessing the democratic process to the strategies of a resurgent aristocracy of the wealthy, inequality revives political conditions we thought we had moved beyond: empires and dynastic elites, explosive ethnic division, and metropolitan dominance that consigns all but a few cities to irrelevance. Inequality, in short, threatens to return us to the very history we have been trying to escape since the Age of Revolution. Westerners have been slow to appreciate that inequality undermines the very foundations of liberal democracy: faith in progress and trust in the political community’s concern for all its members. Savage guides us through the ideas of leading theorists of inequality, including Marx, Bourdieu, and Piketty, revealing how inequality reimposes the burdens of the past. At once analytically rigorous and passionately argued, The Return of Inequality is a vital addition to one of our most important public debates.