Fundamentals of Probability: A First Course

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Release : 2010-04-02
Genre : Mathematics
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Book Rating : 804/5 ( reviews)

Fundamentals of Probability: A First Course - 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 Fundamentals of Probability: A First Course write by Anirban DasGupta. This book was released on 2010-04-02. Fundamentals of Probability: A First Course available in PDF, EPUB and Kindle. Probability theory is one branch of mathematics that is simultaneously deep and immediately applicable in diverse areas of human endeavor. It is as fundamental as calculus. Calculus explains the external world, and probability theory helps predict a lot of it. In addition, problems in probability theory have an innate appeal, and the answers are often structured and strikingly beautiful. A solid background in probability theory and probability models will become increasingly more useful in the twenty-?rst century, as dif?cult new problems emerge, that will require more sophisticated models and analysis. Thisisa text onthe fundamentalsof thetheoryofprobabilityat anundergraduate or ?rst-year graduate level for students in science, engineering,and economics. The only mathematical background required is knowledge of univariate and multiva- ate calculus and basic linear algebra. The book covers all of the standard topics in basic probability, such as combinatorial probability, discrete and continuous distributions, moment generating functions, fundamental probability inequalities, the central limit theorem, and joint and conditional distributions of discrete and continuous random variables. But it also has some unique features and a forwa- looking feel.

Introduction to Probability

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Release : 2017-11-02
Genre : Mathematics
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Book Rating : 98X/5 ( reviews)

Introduction to Probability - 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 write by David F. Anderson. This book was released on 2017-11-02. Introduction to Probability available in PDF, EPUB and Kindle. This classroom-tested textbook is an introduction to probability theory, with the right balance between mathematical precision, probabilistic intuition, and concrete applications. Introduction to Probability covers the material precisely, while avoiding excessive technical details. After introducing the basic vocabulary of randomness, including events, probabilities, and random variables, the text offers the reader a first glimpse of the major theorems of the subject: the law of large numbers and the central limit theorem. The important probability distributions are introduced organically as they arise from applications. The discrete and continuous sides of probability are treated together to emphasize their similarities. Intended for students with a calculus background, the text teaches not only the nuts and bolts of probability theory and how to solve specific problems, but also why the methods of solution work.

A First Course in Probability

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Release : 2002
Genre : Mathematics
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Book Rating : /5 ( reviews)

A First Course in Probability - 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 A First Course in Probability write by Sheldon M. Ross. This book was released on 2002. A First Course in Probability available in PDF, EPUB and Kindle. P. 15.

Introduction to Probability

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Release : 2008-07-01
Genre : Mathematics
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Book Rating : 23X/5 ( reviews)

Introduction to Probability - 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 write by Dimitri Bertsekas. This book was released on 2008-07-01. Introduction to Probability available in PDF, EPUB and Kindle. An intuitive, yet precise introduction to probability theory, stochastic processes, statistical inference, and probabilistic models used in science, engineering, economics, and related fields. This is the currently used textbook for an introductory probability course at the Massachusetts Institute of Technology, attended by a large number of undergraduate and graduate students, and for a leading online class on the subject. The book covers the fundamentals of probability theory (probabilistic models, discrete and continuous random variables, multiple random variables, and limit theorems), which are typically part of a first course on the subject. It also contains a number of more advanced topics, including transforms, sums of random variables, a fairly detailed introduction to Bernoulli, Poisson, and Markov processes, Bayesian inference, and an introduction to classical statistics. The book strikes a balance between simplicity in exposition and sophistication in analytical reasoning. Some of the more mathematically rigorous analysis is explained intuitively in the main text, and then developed in detail (at the level of advanced calculus) in the numerous solved theoretical problems.

Introduction to Probability

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Release : 2014-07-24
Genre : Mathematics
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Book Rating : 573/5 ( reviews)

Introduction to Probability - 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 write by Joseph K. Blitzstein. This book was released on 2014-07-24. Introduction to Probability available in PDF, EPUB and Kindle. Developed from celebrated Harvard statistics lectures, Introduction to Probability provides essential language and tools for understanding statistics, randomness, and uncertainty. The book explores a wide variety of applications and examples, ranging from coincidences and paradoxes to Google PageRank and Markov chain Monte Carlo (MCMC). Additional application areas explored include genetics, medicine, computer science, and information theory. The print book version includes a code that provides free access to an eBook version. The authors present the material in an accessible style and motivate concepts using real-world examples. Throughout, they use stories to uncover connections between the fundamental distributions in statistics and conditioning to reduce complicated problems to manageable pieces. The book includes many intuitive explanations, diagrams, and practice problems. Each chapter ends with a section showing how to perform relevant simulations and calculations in R, a free statistical software environment.