# Introduction To Probability, 2nd edition

An intuitive, yet precise introduction to probability theory, stochastic processes, and probabilistic models used in science, engineering, economics, and related fields. The 2nd edition is a substantial revision of the 1st edition, involving a reorganization of old material and the addition of new material. The length of the book has increased by about 25 percent. The main new feature of the 2nd edition is thorough introduction to Bayesian and classical statistics.

The book is the currently used textbook for 'Probabilistic Systems Analysis,' an introductory probability course at the Massachusetts Institute of Technology, attended by a large number of undergraduate and graduate students. 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, as well as the fundamental concepts and methods of statistical inference, both Bayesian and classical. It also contains, a number of more advanced topics, from which an instructor can choose to match the goals of a particular course. These topics include transforms, sums of random variables, a fairly detailed introduction to Bernoulli, Poisson, and Markov processes.

The book strikes a balance between simplicity in exposition and sophistication in analytical reasoning. Some of the more mathematically rigorous analysis has been just intuitively explained in the text, but is developed in detail (at the level of advanced calculus) in the numerous solved theoretical problems.

Written by two professors of the Department of Electrical Engineering and Computer Science at the Massachusetts Institute of Technology, and members of the prestigious US National Academy of Engineering, the book has been widely adopted for classroom use in introductory probability courses within the USA and abroad.

keep2share

The book is the currently used textbook for 'Probabilistic Systems Analysis,' an introductory probability course at the Massachusetts Institute of Technology, attended by a large number of undergraduate and graduate students. 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, as well as the fundamental concepts and methods of statistical inference, both Bayesian and classical. It also contains, a number of more advanced topics, from which an instructor can choose to match the goals of a particular course. These topics include transforms, sums of random variables, a fairly detailed introduction to Bernoulli, Poisson, and Markov processes.

The book strikes a balance between simplicity in exposition and sophistication in analytical reasoning. Some of the more mathematically rigorous analysis has been just intuitively explained in the text, but is developed in detail (at the level of advanced calculus) in the numerous solved theoretical problems.

Written by two professors of the Department of Electrical Engineering and Computer Science at the Massachusetts Institute of Technology, and members of the prestigious US National Academy of Engineering, the book has been widely adopted for classroom use in introductory probability courses within the USA and abroad.

keep2share

**Related books**

- Basic Probability Theory
- Introduction to Probability, Second Revised Edition
- Measure, Probability, and Mathematical Finance: A Problem-Oriented Approach
- Measure, Probability, and Mathematical Finance: A Problem-Oriented Approach
- Applied Probability, Second Edition
- Applied Probability, Second Edition
- Probability Models in Engineering and Science
- Introduction to Random Time and Quantum Randomness
- Probability and Statistics for Finance
- Probability and Statistics for Computer Science

## Random books

- Exchange Traded Funds as an Investment Option
- Markus Heitz - Die Legenden der Albae - Band 3.5 - Die Vergessenen Schriften
- Pineal Gland & Third Eye: Proven Methods to Develop Your Higher Self
- Andreas Franz - Tödlicher Absturz
- Befreiung vom Überfluss: Auf dem Weg in die Postwachstumsökonomie
- The Anatomy of Stretching, Second Edition
- Kathy Reichs - Tempe Brennan - Band 4 - Durch Mark und Bein
- Vito Mancuso, Eugenio Scalfari - Conversazioni con Carlo Maria Martini
- J.R. Ward - Black Dagger 15 - Vampirseele
- Greening the Red, White, and Blue
- Jim Boyce, Microsoft Office Outlook 2003 Inside Out
- Logistiknetzwerke: Modelle für Standortwahl und Tourenplanung
- Lara Adrian - Darker After Midnight
- Lighting for Health and Safety
- Gabriele D'Annunzio, Eleonora Duse - Come il mare io ti parlo. Lettere 1894-1923

## Top books

- Parisian Licentiates in Theology, A.D. 1373-1500. A Biographical Register
- How to Develop Self-Confidence And Influence People By Public Speaking
- Bernard Dupriez, Dictionnaire Gradus : Les procédés littéraires
- Video2Brain - Introducing the javascript Language
- Vermögensplanung und Altersvorsorge für Frauen: Finanz-Knowhow und praktische Lösungen. - Mit einem Vorwort
- Elektrotechnik für Ingenieure 3: Ausgleichsvorgänge, Fourieranalyse, Vierpoltheorie, 8 Auflage
- Powder Diffraction: Theory and Practice
- infiniteskills - Mastering iOS Development - Location Services
- Marketing Plans: How to Prepare Them, How to Use Them, 7 edition
- Making Things Move: Die Welt bewegen
- Grain Brain: The Surprising Truth about Wheat, Carbs, and Sugar – Your Brain's Silent Killers (Audiobook)
- Empty Hands, Open Arms: The Race to Save Bonobos in the Congo and Make Conservation Go Viral
- Flex 3: A Beginner's Guide
- Microsoft Excel 2013 Plain & Simple
- Darla Sims, 280 Crochet Shell Patterns

## Today books

- Origami Design Secrets: Mathematical Methods for an Ancient Art
- America, 1908: The Dawn of Flight, the Race to the Pole, the Invention of the Model T, and the Making... (Audiobook)
- Chemistry: The Molecular Nature of Matter and Change, 7th Edition
- Unbuilt Toronto 2: More of the City That Might Have Been
- Mantra Yoga and Primal Sound: Secret of Seed (Bija) Mantras
- Saints (Pocket Essentials)
- Teaching and Researching: Reading, 2 edition (Applied Linguistics in Action)
- The Wiley-Blackwell Companion to Zoroastrianism
- The Sweet Life in Paris: Delicious Adventures in the World's Most Glorious - and Perplexing - City
- Sustainable Manufacturing: Shaping Global Value Creation
- Origins of Political Extremism: Mass Violence in the Twentieth Century and Beyond
- Why Science Does Not Disprove God
- Reinforced Concrete: Mechanics and Design (6th Edition)
- The Gnomon Workshop: Mechanical Character Design with Joe Peterson (2013)
- Migrating to Drupal 7