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An Introduction to Probability Theory and Its Applications, Volume 1

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A complete guide to the theory and practical applications of probability theory An Introduction to Probability Theory and Its Applications uniquely blends a comprehensive overview of probability theory with the real-world application of that theory. Beginning with the background and very nature of probability theory, the book then proceeds through sample spaces, combinatori A complete guide to the theory and practical applications of probability theory An Introduction to Probability Theory and Its Applications uniquely blends a comprehensive overview of probability theory with the real-world application of that theory. Beginning with the background and very nature of probability theory, the book then proceeds through sample spaces, combinatorial analysis, fluctuations in coin tossing and random walks, the combination of events, types of distributions, Markov chains, stochastic processes, and more. The book's comprehensive approach provides a complete view of theory along with enlightening examples along the way.


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A complete guide to the theory and practical applications of probability theory An Introduction to Probability Theory and Its Applications uniquely blends a comprehensive overview of probability theory with the real-world application of that theory. Beginning with the background and very nature of probability theory, the book then proceeds through sample spaces, combinatori A complete guide to the theory and practical applications of probability theory An Introduction to Probability Theory and Its Applications uniquely blends a comprehensive overview of probability theory with the real-world application of that theory. Beginning with the background and very nature of probability theory, the book then proceeds through sample spaces, combinatorial analysis, fluctuations in coin tossing and random walks, the combination of events, types of distributions, Markov chains, stochastic processes, and more. The book's comprehensive approach provides a complete view of theory along with enlightening examples along the way.

30 review for An Introduction to Probability Theory and Its Applications, Volume 1

  1. 4 out of 5

    Dorai

    I don't think it is necessary to seek "easier" introductions to probability than this classic. The prose is quite readable, and the mathematics is accessible to a reader who has some calculus and is willing to stick with it. (I took a peek at Volume 2, and I can't claim the same for it.) The author clearly marks out what can be skipped, so you can strengthen your probabilistic intuitions without beating yourself up too much. Amusingly, even Feller sometimes nods. On page 10 (2nd ed, 1957), while I don't think it is necessary to seek "easier" introductions to probability than this classic. The prose is quite readable, and the mathematics is accessible to a reader who has some calculus and is willing to stick with it. (I took a peek at Volume 2, and I can't claim the same for it.) The author clearly marks out what can be skipped, so you can strengthen your probabilistic intuitions without beating yourself up too much. Amusingly, even Feller sometimes nods. On page 10 (2nd ed, 1957), while talking about the "Distribution of r balls in n cells", he states that "the number of possible arrangements increases rapidly with r and n. For r = 3 balls in n = 4 cells, the sample space contains already 81 points". Actually it contains only n^r = 4^3 = 64 points (not 3^4 = 81). On page 53, problem 6(b), we are to find, among others, the probability that there are 2 repetitions among 4 random digits. 2 repetitions implies 3 similar positions, which can be chosen in C(4,3) = 4 ways. The repeated digit can be chosen 10 ways, and the remaining position can be filled in 9 ways. So the number of 4-digit numbers with 2 reps is 4*10*9 = 360. The total number of 4-digit numbers is 10^4. So P(a 4-digit numbers has 2 reps) = .036, not .063 as claimed. These are forgivable typos that don't affect the quality of the presentation.

  2. 5 out of 5

    Phan Duc thanh

    I read this classic book for my Introduction to Probability class and found it quite pleasurable. It (the first volume) gives a pretty comprehensive overview of elementary probability. The author could be verbose at times but it does not really bother me. As its name suggests, it contains multiple interesting real-world examples (albeit not today world) to illustrate how we can apply the theoretical concepts.

  3. 4 out of 5

    Aniket Patil

    Introduction and purpose of Probability is explained in the simplest possible way. I liked this book for the same, However, This books slowly transits to the zone where it become too much technical/mathematical. I felt uncomfortable after sometime. It was okay as a theoretical book but I was looking for simplified practical approach.

  4. 4 out of 5

    Joshua

    A classic textbook of introduction to probability. It's an upper level in college or graduate school book. If you study physics or engineering, this is a book that can help to build a solid background in probability. A classic textbook of introduction to probability. It's an upper level in college or graduate school book. If you study physics or engineering, this is a book that can help to build a solid background in probability.

  5. 4 out of 5

    Andrew Frigyik

    Still the best introduction to probability theory.

  6. 5 out of 5

    Evan

    i admit, this is as good as everything says it is.

  7. 4 out of 5

    DJ

    Greatly enjoyed my intro probability class but interested in plugging holes and exploring further. Heard this was the probability monogram and have high expectations.

  8. 4 out of 5

    Atul Singh

  9. 4 out of 5

    Adam

  10. 5 out of 5

    Yuriy

  11. 5 out of 5

    Hasseeb Nasseer

  12. 5 out of 5

    Richard Hollingshead

  13. 5 out of 5

    VgAcid

  14. 4 out of 5

    James Wright

  15. 5 out of 5

    Jatin Kakkar

  16. 5 out of 5

    Nitin Rohilla

  17. 4 out of 5

    Gary Kennedy

  18. 5 out of 5

    Jovany Agathe

  19. 5 out of 5

    Monis

  20. 4 out of 5

    Miguel Zaragoza

  21. 4 out of 5

    Hari

  22. 4 out of 5

    Jim D'Ambrosia

  23. 5 out of 5

    Khai Sern

  24. 4 out of 5

    Paul Pseudo-Expert

  25. 4 out of 5

    Mace Ousley

  26. 4 out of 5

    MINTU

  27. 5 out of 5

    Jingcheng

  28. 5 out of 5

    Tiffany

  29. 4 out of 5

    Allen Back

  30. 5 out of 5

    Paul Rowe

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