Probability Theory, Random Processes and Mathematical Statistics

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Publisher : Springer
ISBN 13 :
Total Pages : 280 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Probability Theory, Random Processes and Mathematical Statistics by : I︠U︡riĭ Anatolʹevich Rozanov

Download or read book Probability Theory, Random Processes and Mathematical Statistics written by I︠U︡riĭ Anatolʹevich Rozanov and published by Springer. This book was released on 1995-10-31 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second part (Chapters 4-6) provides a foundation of stochastic analysis, gives information on basic models of random processes and tools to study them. Here a certain familiarity with elements of functional analysis is necessary. Important material is presented in the form of examples to keep readers involved. Audience: This is a concise textbook for a graduate level course, with carefully selected topics representing the most important areas of modern probability, random processes and statistics.

Problems in Probability Theory, Mathematical Statistics and Theory of Random Functions

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Publisher : Courier Corporation
ISBN 13 : 0486137562
Total Pages : 512 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Problems in Probability Theory, Mathematical Statistics and Theory of Random Functions by : A. A. Sveshnikov

Download or read book Problems in Probability Theory, Mathematical Statistics and Theory of Random Functions written by A. A. Sveshnikov and published by Courier Corporation. This book was released on 2012-04-30 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: Approximately 1,000 problems — with answers and solutions included at the back of the book — illustrate such topics as random events, random variables, limit theorems, Markov processes, and much more.

Introduction to Probability, Statistics, and Random Processes

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Publisher :
ISBN 13 : 9780990637202
Total Pages : 746 pages
Book Rating : 4.6/5 (372 download)

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Book Synopsis Introduction to Probability, Statistics, and Random Processes by : Hossein Pishro-Nik

Download or read book Introduction to Probability, Statistics, and Random Processes written by Hossein Pishro-Nik and published by . This book was released on 2014-08-15 with total page 746 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book covers basic concepts such as random experiments, probability axioms, conditional probability, and counting methods, single and multiple random variables (discrete, continuous, and mixed), as well as moment-generating functions, characteristic functions, random vectors, and inequalities; limit theorems and convergence; introduction to Bayesian and classical statistics; random processes including processing of random signals, Poisson processes, discrete-time and continuous-time Markov chains, and Brownian motion; simulation using MATLAB and R.

Probability Theory, Random Processes and Mathematical Statistics

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Publisher : Springer Science & Business Media
ISBN 13 : 9401104492
Total Pages : 267 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Probability Theory, Random Processes and Mathematical Statistics by : Y. Rozanov

Download or read book Probability Theory, Random Processes and Mathematical Statistics written by Y. Rozanov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: Probability Theory, Theory of Random Processes and Mathematical Statistics are important areas of modern mathematics and its applications. They develop rigorous models for a proper treatment for various 'random' phenomena which we encounter in the real world. They provide us with numerous tools for an analysis, prediction and, ultimately, control of random phenomena. Statistics itself helps with choice of a proper mathematical model (e.g., by estimation of unknown parameters) on the basis of statistical data collected by observations. This volume is intended to be a concise textbook for a graduate level course, with carefully selected topics representing the most important areas of modern Probability, Random Processes and Statistics. The first part (Ch. 1-3) can serve as a self-contained, elementary introduction to Probability, Random Processes and Statistics. It contains a number of relatively sim ple and typical examples of random phenomena which allow a natural introduction of general structures and methods. Only knowledge of elements of real/complex analysis, linear algebra and ordinary differential equations is required here. The second part (Ch. 4-6) provides a foundation of Stochastic Analysis, gives information on basic models of random processes and tools to study them. Here a familiarity with elements of functional analysis is necessary. Our intention to make this course fast-moving made it necessary to present important material in a form of examples.

Mathematical Statistics and Stochastic Processes

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Publisher : John Wiley & Sons
ISBN 13 : 1118586271
Total Pages : 218 pages
Book Rating : 4.1/5 (185 download)

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Book Synopsis Mathematical Statistics and Stochastic Processes by : Denis Bosq

Download or read book Mathematical Statistics and Stochastic Processes written by Denis Bosq and published by John Wiley & Sons. This book was released on 2013-02-04 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: Generally, books on mathematical statistics are restricted to the case of independent identically distributed random variables. In this book however, both this case AND the case of dependent variables, i.e. statistics for discrete and continuous time processes, are studied. This second case is very important for today’s practitioners. Mathematical Statistics and Stochastic Processes is based on decision theory and asymptotic statistics and contains up-to-date information on the relevant topics of theory of probability, estimation, confidence intervals, non-parametric statistics and robustness, second-order processes in discrete and continuous time and diffusion processes, statistics for discrete and continuous time processes, statistical prediction, and complements in probability. This book is aimed at students studying courses on probability with an emphasis on measure theory and for all practitioners who apply and use statistics and probability on a daily basis.

Geometric Aspects of Probability Theory and Mathematical Statistics

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Publisher : Springer Science & Business Media
ISBN 13 : 9780792364139
Total Pages : 322 pages
Book Rating : 4.3/5 (641 download)

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Book Synopsis Geometric Aspects of Probability Theory and Mathematical Statistics by : V.V. Buldygin

Download or read book Geometric Aspects of Probability Theory and Mathematical Statistics written by V.V. Buldygin and published by Springer Science & Business Media. This book was released on 2000-08-31 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book demonstrates the usefulness of geometric methods in probability theory and mathematical statistics, and shows close relationships between these disciplines and convex analysis. Deep facts and statements from the theory of convex sets are discussed with their applications to various questions arising in probability theory, mathematical statistics, and the theory of stochastic processes. The book is essentially self-contained, and the presentation of material is thorough in detail. Audience: The topics considered in the book are accessible to a wide audience of mathematicians, and graduate and postgraduate students, whose interests lie in probability theory and convex geometry.

Probability, Random Processes, and Statistical Analysis

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Publisher : Cambridge University Press
ISBN 13 : 1139502611
Total Pages : 813 pages
Book Rating : 4.1/5 (395 download)

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Book Synopsis Probability, Random Processes, and Statistical Analysis by : Hisashi Kobayashi

Download or read book Probability, Random Processes, and Statistical Analysis written by Hisashi Kobayashi and published by Cambridge University Press. This book was released on 2011-12-15 with total page 813 pages. Available in PDF, EPUB and Kindle. Book excerpt: Together with the fundamentals of probability, random processes and statistical analysis, this insightful book also presents a broad range of advanced topics and applications. There is extensive coverage of Bayesian vs. frequentist statistics, time series and spectral representation, inequalities, bound and approximation, maximum-likelihood estimation and the expectation-maximization (EM) algorithm, geometric Brownian motion and Itô process. Applications such as hidden Markov models (HMM), the Viterbi, BCJR, and Baum–Welch algorithms, algorithms for machine learning, Wiener and Kalman filters, and queueing and loss networks are treated in detail. The book will be useful to students and researchers in such areas as communications, signal processing, networks, machine learning, bioinformatics, econometrics and mathematical finance. With a solutions manual, lecture slides, supplementary materials and MATLAB programs all available online, it is ideal for classroom teaching as well as a valuable reference for professionals.

Probability on Graphs

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Publisher : Cambridge University Press
ISBN 13 : 9780521147354
Total Pages : 260 pages
Book Rating : 4.1/5 (473 download)

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Book Synopsis Probability on Graphs by : Geoffrey Grimmett

Download or read book Probability on Graphs written by Geoffrey Grimmett and published by Cambridge University Press. This book was released on 2010-06-24 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to some of the principal models in the theory of disordered systems leads the reader through the basics, to the very edge of contemporary research, with the minimum of technical fuss. Topics covered include random walk, percolation, self-avoiding walk, interacting particle systems, uniform spanning tree, random graphs, as well as the Ising, Potts, and random-cluster models for ferromagnetism, and the Lorentz model for motion in a random medium. Schramm-Löwner evolutions (SLE) arise in various contexts. The choice of topics is strongly motivated by modern applications and focuses on areas that merit further research. Special features include a simple account of Smirnov's proof of Cardy's formula for critical percolation, and a fairly full account of the theory of influence and sharp-thresholds. Accessible to a wide audience of mathematicians and physicists, this book can be used as a graduate course text. Each chapter ends with a range of exercises.

Probability, Statistics, and Stochastic Processes

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Publisher : John Wiley & Sons
ISBN 13 : 1118231325
Total Pages : 573 pages
Book Rating : 4.1/5 (182 download)

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Book Synopsis Probability, Statistics, and Stochastic Processes by : Peter Olofsson

Download or read book Probability, Statistics, and Stochastic Processes written by Peter Olofsson and published by John Wiley & Sons. This book was released on 2012-05-04 with total page 573 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for the First Edition ". . . an excellent textbook . . . well organized and neatly written." —Mathematical Reviews ". . . amazingly interesting . . ." —Technometrics Thoroughly updated to showcase the interrelationships between probability, statistics, and stochastic processes, Probability, Statistics, and Stochastic Processes, Second Edition prepares readers to collect, analyze, and characterize data in their chosen fields. Beginning with three chapters that develop probability theory and introduce the axioms of probability, random variables, and joint distributions, the book goes on to present limit theorems and simulation. The authors combine a rigorous, calculus-based development of theory with an intuitive approach that appeals to readers' sense of reason and logic. Including more than 400 examples that help illustrate concepts and theory, the Second Edition features new material on statistical inference and a wealth of newly added topics, including: Consistency of point estimators Large sample theory Bootstrap simulation Multiple hypothesis testing Fisher's exact test and Kolmogorov-Smirnov test Martingales, renewal processes, and Brownian motion One-way analysis of variance and the general linear model Extensively class-tested to ensure an accessible presentation, Probability, Statistics, and Stochastic Processes, Second Edition is an excellent book for courses on probability and statistics at the upper-undergraduate level. The book is also an ideal resource for scientists and engineers in the fields of statistics, mathematics, industrial management, and engineering.

Selected Works of A. N. Kolmogorov

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Publisher : Springer Science & Business Media
ISBN 13 : 902772797X
Total Pages : 618 pages
Book Rating : 4.0/5 (277 download)

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Book Synopsis Selected Works of A. N. Kolmogorov by : A.N. Shiryayev

Download or read book Selected Works of A. N. Kolmogorov written by A.N. Shiryayev and published by Springer Science & Business Media. This book was released on 1992-02-29 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt: The creative work of Andrei N. Kolmogorov is exceptionally wide-ranging. In his studies on trigonometric and orthogonal series, the theory of measure and integral, mathematical logic, approximation theory, geometry, topology, functional analysis, classical mechanics, ergodic theory, superposition of functions, and in formation theory, he solved many conceptual and fundamental problems and posed new questions which gave rise to a great deal of further research. Kolmogorov is one of the founders of the Soviet school of probability theory, mathematical statistics, and the theory of turbulence. In these areas he obtained a number of central results, with many applications to mechanics, geophysics, linguistics and biology, among other subjects. This edition includes Kolmogorov's most important papers on mathematics and the natural sciences. It does not include his philosophical and pedagogical studies, his articles written for the "Bolshaya Sovetskaya Entsiklopediya", his papers on prosody and applications of mathematics or his publications on general questions. The material of this edition was selected and compiled by Kolmogorov himself. The first volume consists of papers on mathematics and also on turbulence and classical mechanics. The second volume is devoted to probability theory and mathematical statistics. The focus of the third volume is on information theory and the theory of algorithms.

Theory of Probability and Random Processes

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Publisher : Springer Science & Business Media
ISBN 13 : 3540688293
Total Pages : 346 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis Theory of Probability and Random Processes by : Leonid Koralov

Download or read book Theory of Probability and Random Processes written by Leonid Koralov and published by Springer Science & Business Media. This book was released on 2007-08-10 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: A one-year course in probability theory and the theory of random processes, taught at Princeton University to undergraduate and graduate students, forms the core of this book. It provides a comprehensive and self-contained exposition of classical probability theory and the theory of random processes. The book includes detailed discussion of Lebesgue integration, Markov chains, random walks, laws of large numbers, limit theorems, and their relation to Renormalization Group theory. It also includes the theory of stationary random processes, martingales, generalized random processes, and Brownian motion.

Probability Theory and Mathematical Statistics

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Publisher : John Wiley & Sons
ISBN 13 :
Total Pages : 714 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Probability Theory and Mathematical Statistics by : M. Fisz

Download or read book Probability Theory and Mathematical Statistics written by M. Fisz and published by John Wiley & Sons. This book was released on 1963-01-15 with total page 714 pages. Available in PDF, EPUB and Kindle. Book excerpt: Probability theory; Random events; Random variables; Parameters of the distribution of a Random variable; Characteristic functions; Some probability distributions; Limit theorems; Markov chains; Stochastic processes; Mathematical statistics; Sample moments and their functions; Order statistics; An outline of the theory of runs; Significance tests; The theory of estimation; Methods and schemes of sampling; An outline of analysis of variance; Theory of hypotheses testing; Elements of sequential analysis.

Probability Theory and Mathematical Statistics. Vol. 1

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3112319001
Total Pages : 584 pages
Book Rating : 4.1/5 (123 download)

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Book Synopsis Probability Theory and Mathematical Statistics. Vol. 1 by : Yu. V. Prohorov

Download or read book Probability Theory and Mathematical Statistics. Vol. 1 written by Yu. V. Prohorov and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-05-18 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "PROC. VILNIUS CONF. PROB. STAT. VOL. 1 (PROHOROV) E-BOOK".

Probability Theory and Mathematical Statistics. Vol. 2

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3112319028
Total Pages : 624 pages
Book Rating : 4.1/5 (123 download)

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Book Synopsis Probability Theory and Mathematical Statistics. Vol. 2 by : B. Grigelionis

Download or read book Probability Theory and Mathematical Statistics. Vol. 2 written by B. Grigelionis and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-05-18 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "PROB. TH. MATH. ST. ( GRIGELIONIS) VOL. 2 PROC.5/1989 E-BOOK".

Statistics of Random Processes II

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540639282
Total Pages : 428 pages
Book Rating : 4.6/5 (392 download)

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Book Synopsis Statistics of Random Processes II by : Robert Shevilevich Lipt︠s︡er

Download or read book Statistics of Random Processes II written by Robert Shevilevich Lipt︠s︡er and published by Springer Science & Business Media. This book was released on 2001 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Written by two renowned experts in the field, the books under review contain a thorough and insightful treatment of the fundamental underpinnings of various aspects of stochastic processes as well as a wide range of applications. Providing clear exposition, deep mathematical results, and superb technical representation, they are masterpieces of the subject of stochastic analysis and nonlinear filtering....These books...will become classics." --SIAM REVIEW

Probability

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Publisher : SIAM
ISBN 13 : 9781611971286
Total Pages : 421 pages
Book Rating : 4.9/5 (712 download)

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Book Synopsis Probability by : Leo Breiman

Download or read book Probability written by Leo Breiman and published by SIAM. This book was released on 1968-01-01 with total page 421 pages. Available in PDF, EPUB and Kindle. Book excerpt: Well known for the clear, inductive nature of its exposition, this reprint volume is an excellent introduction to mathematical probability theory. It may be used as a graduate-level text in one- or two-semester courses in probability for students who are familiar with basic measure theory, or as a supplement in courses in stochastic processes or mathematical statistics. Designed around the needs of the student, this book achieves readability and clarity by giving the most important results in each area while not dwelling on any one subject. Each new idea or concept is introduced from an intuitive, common-sense point of view. Students are helped to understand why things work, instead of being given a dry theorem-proof regime.

Probability Theory and Mathematical Statistics for Engineers

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Publisher : Elsevier
ISBN 13 : 1483190501
Total Pages : 468 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis Probability Theory and Mathematical Statistics for Engineers by : V. S. Pugachev

Download or read book Probability Theory and Mathematical Statistics for Engineers written by V. S. Pugachev and published by Elsevier. This book was released on 2014-06-28 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: Probability Theory and Mathematical Statistics for Engineers focuses on the concepts of probability theory and mathematical statistics for finite-dimensional random variables. The book underscores the probabilities of events, random variables, and numerical characteristics of random variables. Discussions focus on canonical expansions of random vectors, second-order moments of random vectors, generalization of the density concept, entropy of a distribution, direct evaluation of probabilities, and conditional probabilities. The text then examines projections of random vectors and their distributions, including conditional distributions of projections of a random vector, conditional numerical characteristics, and information contained in random variables. The book elaborates on the functions of random variables and estimation of parameters of distributions. Topics include frequency as a probability estimate, estimation of statistical characteristics, estimation of the expectation and covariance matrix of a random vector, and testing the hypotheses on the parameters of distributions. The text then takes a look at estimator theory and estimation of distributions. The book is a vital source of data for students, engineers, postgraduates of applied mathematics, and other institutes of higher technical education.