Probability Theory Random Processes And Mathematical Statistics
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Probability Theory Random Processes And Mathematical Statistics
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Author : Y. Rozanov
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Probability Theory Random Processes And Mathematical Statistics written by Y. Rozanov 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 Mathematics categories.
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.
Probability Theory Random Processes And Mathematical Statistics
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Author : Y. Rozanov
language : en
Publisher:
Release Date : 2014-01-15
Probability Theory Random Processes And Mathematical Statistics written by Y. Rozanov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
Theory Of Probability And Random Processes
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Author : Leonid Koralov
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-08-10
Theory Of Probability And Random Processes written by Leonid Koralov 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 2007-08-10 with Mathematics categories.
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.
Introduction To Probability Statistics And Random Processes
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Author : Hossein Pishro-Nik
language : en
Publisher:
Release Date : 2014-08-15
Introduction To Probability Statistics And Random Processes written by Hossein Pishro-Nik and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-15 with Probabilities categories.
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.
Problems In Probability Theory Mathematical Statistics And Theory Of Random Functions
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Author : Aram Aruti?u?novich Sveshnikov
language : en
Publisher: Courier Corporation
Release Date : 1978-01-01
Problems In Probability Theory Mathematical Statistics And Theory Of Random Functions written by Aram Aruti?u?novich Sveshnikov and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978-01-01 with Mathematics categories.
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.
Probability Statistics And Stochastic Processes
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Author : Peter Olofsson
language : en
Publisher: John Wiley & Sons
Release Date : 2012-05-22
Probability Statistics And Stochastic Processes written by Peter Olofsson and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-05-22 with Mathematics categories.
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.
Statistics Of Random Processes Ii
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Author : Robert Shevilevich Lipt︠s︡er
language : en
Publisher: Springer Science & Business Media
Release Date : 2001
Statistics Of Random Processes Ii written by Robert Shevilevich Lipt︠s︡er 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 2001 with Mathematics categories.
"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 Theory With Applications
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Author : Malempati M. Rao
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-06-03
Probability Theory With Applications written by Malempati M. Rao 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 2006-06-03 with Mathematics categories.
This book is a revised and expanded edition of a successful graduate and reference text. The material in the book is designed for a standard graduate course on probability theory, including some important applications. This new edition contains a detailed treatment of the core area of probability, and both structural and limit results are presented in full detail. Compared to the first edition, the material and presentation are better highlighted with several (small and large) alterations made to each chapter. Key features of the book include: - Indicating the need for abstract theory even in applications and showing the inadequacy of existing results for certain apparently simple real-world problems - Attempting to deal with the existence problems for various classes of random families that figure in the main results of the subject - Providing a treatment of conditional expectations and of conditional probabilities that is more complete than in other existing textbooks Since this is a textbook, essentially all proofs are given in complete detail (even at the risk of repetition), and some key results are given multiple proofs when each argument has something to contribute.
Probability Random Processes And Statistical Analysis
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Author : Hisashi Kobayashi
language : en
Publisher: Cambridge University Press
Release Date : 2011-12-15
Probability Random Processes And Statistical Analysis written by Hisashi Kobayashi and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-12-15 with Technology & Engineering categories.
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 Theory And Mathematical Statistics
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Author : M. Fisz
language : en
Publisher: John Wiley & Sons
Release Date : 1963-01-15
Probability Theory And Mathematical Statistics written by M. Fisz and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1963-01-15 with Mathematics categories.
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.