Download PDF An Introduction to Probability Theory and Its Applications, Vol. 1, 3rd Edition, by William Feller
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An Introduction to Probability Theory and Its Applications, Vol. 1, 3rd Edition, by William Feller
Download PDF An Introduction to Probability Theory and Its Applications, Vol. 1, 3rd Edition, by William Feller
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Introduction: the nature of probability theory � the sample space � elements of combinatorial analysis � fluctuations in coin tossing and random walks � combination of events � conditional probability � stochastic independence � the binomial and poisson distributions � the normal approximation to the binomial distribution � unlimited sequences of bernoulli trials � random variables � expectation � laws of large numbers � integral valued variables � generating functions � compound distributions � branching processes � recurrent events � renewal theory � random walk and ruin problems � markov chains � algebraic treatment of finite markov chains � the simplest time dependent stochastic processes
- Sales Rank: #313334 in Books
- Published on: 2008
- Original language: English
- Dimensions: .0" h x .0" w x .0" l, 1.15 pounds
- Binding: Paperback
Most helpful customer reviews
56 of 58 people found the following review helpful.
Felled by Feller?
By Peter Haggstrom
I came across Vol 1 as a maths student in the 1970s. Indeed, the book was suggested to me by a quantum physicist recommended for the Nobel Prize in 1965 (John Ward, now deceased)- Feynman, Schwinger and Tomonaga shared the prize.
This is a difficult book and was not widely used even in the 70s as a textbook. I can recall the word "idiosyncratic" being used by someone to describe the book. The problem is that the book seeks to address deep issues and that requires hard work. It is not the sort of book a struggling student will find helpful. As one matures as a mathematician one can appreciate the incredible depth of the material. As a practical example - about 30 years after I first touched this book a Head of Quant approached me in relation to a paper by Marsaglia on distributions of ratios of normal variates. The verification of Marsgalia's derivation (which is non-trivial) is to be found as a series of 3 problems in Vol 1.
With the development of stochastic calculus in the finance world Feller can look a bit outdated but if you can understand the core material you are doing well. Stochastic calculus would be a push over.
Vols 1 and 2 present a treasure trove for those who want to delve into the area. I still use Feller's coin tossing example from Vol 1 to demonstrate to those in the finance world that their understanding of the "law of averages" is imperfect.
The funny thing is that Vol 2 (which I could never afford as a student) is so hard to get. I think that was because Vol 2 was regarded as even more obscure than Vol 1. I got a copy from Amazon second hand and it is now united with its twin in my study.
Peter Haggstrom
BONDI BEACH AUSTRALIA
9 of 9 people found the following review helpful.
Build intuitions and understanding
By C1
This book is a true classic on probability using frequentist approach. It's full of wisdom! Unlike contemporary books that give quick formulas, this classic is dense and presents a slower learning experience. Its emphasis is on deep understanding and analysis instead of merely performing calculations. There are lots of interesting examples that help build up the reader's intuitions that can last. For example, its explanations on Poisson distribution is one of the best I've come across. It should be every scientist's reference book.
12 of 13 people found the following review helpful.
the benchmark
By Chuck
If you could only ever buy one book on probability, this would be the one!
Feller's elegant and lateral approach to the essential elements of probability theory and their application to many diverse and apparently unrelated contexts is head-noddingly inspiring.
Working your way through all the exercises in the book would be an excellent retirment diversion sure to stave off the onset of dementia.
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