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Introduction to Probability, Statistics, and Random Processes, by Hossein Pishro-Nik
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This book introduces students to probability, statistics, and stochastic processes. It can be used by both students and practitioners in engineering, various sciences, finance, and other related fields. It provides a clear and intuitive approach to these topics while maintaining mathematical accuracy.
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 (online chapters)
The book contains a large number of solved exercises. The dependency between different sections of this book has been kept to a minimum in order to provide maximum flexibility to instructors and to make the book easy to read for students. Examples of applications—such as engineering, finance, everyday life, etc.—are included to aid in motivating the subject. The digital version of the book, as well as additional materials such as videos, is available at www.probabilitycourse.com.
- Sales Rank: #71045 in Books
- Published on: 2014-08-24
- Original language: English
- Dimensions: 9.69" h x 1.68" w x 7.44" l, 2.88 pounds
- Binding: Paperback
- 744 pages
Most helpful customer reviews
20 of 20 people found the following review helpful.
Clear and Succinct Resource for Learning the Fundamentals
By Fotchy
Introduction to Probability, Statistics, and Random Processes and the accompanying website elucidate the fundamentals. As an introductory and self-study resource, it succeeds quite well. From the prospective of a current math undergraduate, there is often no problem with locating supplementary information (think Wikipedia, which is actually cited in this book) and difficult problems (e.g., MIT OCW). What is, however, harder for us to find is a source that clearly and succinctly teaches the fundamentals of a discipline. That is where this book and website can be helpful.
The embedded solutions and proofs are an especially handy feature of the website. Setting them up in this manner makes it easier to actively learn the material, i.e., attempt the examples and proofs first rather than gloss over the solutions. The site also includes calculators for relevant computations, a comprehensive appendix on distributions, and a collection of video lectures to accompany the first few chapters. Overall, it is an excellent self-study or supplementary resource to use to first grasp the basics. If you want to then examine novel applications, rigorous theory, or challenging problems/proofs, then there's plenty of other free resources available :)
17 of 17 people found the following review helpful.
Ideal for seniors and graduate students
By Aaron
I give this book five stars for its clarity and thoroughness. I must say my first reaction was to be surprised at how much better this book is at explaining probability and statistics. On the whole, the writing of the book is rather light and entertaining. For instance, the discussion over convergence and multiple random variables brings a rather complex notion down to something we can identify. Studying this book is ideal for both seniors and graduate students. This book will give all of the students appreciation of all fields actively related to probability and statistics.
The solved problems are very useful. Each non-trivial step in an equation is explained, but not in a frustrating way. There are some problems at the end of each chapter that require deep thinking. However, I think a few more involved ones would be useful. Also, chapter 12 and 13 on the textbook website are very valuable to me in learning simulation using R and MATLAB. These two languages are widely used in my research.
13 of 14 people found the following review helpful.
I very much liked the structure of the book
By Soheil
I very much liked the structure of the book. The text is very easily readable and math expressions are clear and comprehensive. Each section includes many examples with solutions, which makes it easier for students to test themselves. Solutions are complete and easy to follow, and steps are well explained.
The book starts with vary basic concepts of probability theory, and covers some higher level notions on stochastic process, and Markov chain. It also has a section on concentration which is very useful. These together with the book webpage which provides examples both in MATLAB and R, make the book a very good fit for an undergraduate level textbook on probability.
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