An Introduction to Probability and Stochastic Processes

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Release : 2013-01-01
Genre : Mathematics
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Book Rating : 998/5 ( reviews)

An Introduction to Probability and Stochastic Processes - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook An Introduction to Probability and Stochastic Processes write by James L. Melsa. This book was released on 2013-01-01. An Introduction to Probability and Stochastic Processes available in PDF, EPUB and Kindle. Detailed coverage of probability theory, random variables and their functions, stochastic processes, linear system response to stochastic processes, Gaussian and Markov processes, and stochastic differential equations. 1973 edition.

An Introduction to Probability and Stochastic Processes

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Release : 2012-12-06
Genre : Mathematics
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Book Rating : 267/5 ( reviews)

An Introduction to Probability and Stochastic Processes - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook An Introduction to Probability and Stochastic Processes write by Marc A. Berger. This book was released on 2012-12-06. An Introduction to Probability and Stochastic Processes available in PDF, EPUB and Kindle. These notes were written as a result of my having taught a "nonmeasure theoretic" course in probability and stochastic processes a few times at the Weizmann Institute in Israel. I have tried to follow two principles. The first is to prove things "probabilistically" whenever possible without recourse to other branches of mathematics and in a notation that is as "probabilistic" as possible. Thus, for example, the asymptotics of pn for large n, where P is a stochastic matrix, is developed in Section V by using passage probabilities and hitting times rather than, say, pulling in Perron Frobenius theory or spectral analysis. Similarly in Section II the joint normal distribution is studied through conditional expectation rather than quadratic forms. The second principle I have tried to follow is to only prove results in their simple forms and to try to eliminate any minor technical com putations from proofs, so as to expose the most important steps. Steps in proofs or derivations that involve algebra or basic calculus are not shown; only steps involving, say, the use of independence or a dominated convergence argument or an assumptjon in a theorem are displayed. For example, in proving inversion formulas for characteristic functions I omit steps involving evaluation of basic trigonometric integrals and display details only where use is made of Fubini's Theorem or the Dominated Convergence Theorem.

Introduction to Probability and Stochastic Processes with Applications

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Release : 2014-08-21
Genre : Mathematics
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Book Rating : 960/5 ( reviews)

Introduction to Probability and Stochastic Processes with Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction to Probability and Stochastic Processes with Applications write by Liliana Blanco Castañeda. This book was released on 2014-08-21. Introduction to Probability and Stochastic Processes with Applications available in PDF, EPUB and Kindle. An easily accessible, real-world approach to probability and stochastic processes Introduction to Probability and Stochastic Processes with Applications presents a clear, easy-to-understand treatment of probability and stochastic processes, providing readers with a solid foundation they can build upon throughout their careers. With an emphasis on applications in engineering, applied sciences, business and finance, statistics, mathematics, and operations research, the book features numerous real-world examples that illustrate how random phenomena occur in nature and how to use probabilistic techniques to accurately model these phenomena. The authors discuss a broad range of topics, from the basic concepts of probability to advanced topics for further study, including Itô integrals, martingales, and sigma algebras. Additional topical coverage includes: Distributions of discrete and continuous random variables frequently used in applications Random vectors, conditional probability, expectation, and multivariate normal distributions The laws of large numbers, limit theorems, and convergence of sequences of random variables Stochastic processes and related applications, particularly in queueing systems Financial mathematics, including pricing methods such as risk-neutral valuation and the Black-Scholes formula Extensive appendices containing a review of the requisite mathematics and tables of standard distributions for use in applications are provided, and plentiful exercises, problems, and solutions are found throughout. Also, a related website features additional exercises with solutions and supplementary material for classroom use. Introduction to Probability and Stochastic Processes with Applications is an ideal book for probability courses at the upper-undergraduate level. The book is also a valuable reference for researchers and practitioners in the fields of engineering, operations research, and computer science who conduct data analysis to make decisions in their everyday work.

Probability and Stochastic Processes

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Release : 2014-01-28
Genre : Mathematics
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Book Rating : 560/5 ( reviews)

Probability and Stochastic Processes - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Probability and Stochastic Processes write by Roy D. Yates. This book was released on 2014-01-28. Probability and Stochastic Processes available in PDF, EPUB and Kindle. This text introduces engineering students to probability theory and stochastic processes. Along with thorough mathematical development of the subject, the book presents intuitive explanations of key points in order to give students the insights they need to apply math to practical engineering problems. The first seven chapters contain the core material that is essential to any introductory course. In one-semester undergraduate courses, instructors can select material from the remaining chapters to meet their individual goals. Graduate courses can cover all chapters in one semester.

Introduction to Probability, Statistics, and Random Processes

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Release : 2014-08-15
Genre : Probabilities
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Book Rating : 202/5 ( reviews)

Introduction to Probability, Statistics, and Random Processes - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction to Probability, Statistics, and Random Processes write by Hossein Pishro-Nik. This book was released on 2014-08-15. Introduction to Probability, Statistics, and Random Processes available in PDF, EPUB and Kindle. 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.