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Probability and Measure: Anniversary Edition (Wiley Series in Probability and Statistics) [Special Edition] [Englisch] [Gebundene Ausgabe]

Patrick Billingsley

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9. März 2012 Wiley Series in Probability and Statistics (Buch 894)
Praise for the Third Edition
"It is, as far as I'm concerned, among the best books in math ever written....if you are a mathematician and want to have the top reference in probability, this is it." (, January 2006)
A complete and comprehensive classic in probability and measure theory
Probability and Measure, Anniversary Edition by Patrick Billingsley celebrates the achievements and advancements that have made this book a classic in its field for the past 35 years. Now re-issued in a new style and format, but with the reliable content that the third edition was revered for, this Anniversary Edition builds on its strong foundation of measure theory and probability with Billingsley's unique writing style. In recognition of 35 years of publication, impacting tens of thousands of readers, this Anniversary Edition has been completely redesigned in a new, open and user-friendly way in order to appeal to university-level students.
This book adds a new foreward by Steve Lally of the Statistics Department at The University of Chicago in order to underscore the many years of successful publication and world-wide popularity and emphasize the educational value of this book. The Anniversary Edition contains features including:
* An improved treatment of Brownian motion
* Replacement of queuing theory with ergodic theory
* Theory and applications used to illustrate real-life situations
* Over 300 problems with corresponding, intensive notes and solutions
* Updated bibliography
* An extensive supplement of additional notes on the problems and chapter commentaries
Patrick Billingsley was a first-class, world-renowned authority in probability and measure theory at a leading U.S. institution of higher education. He continued to be an influential probability theorist until his unfortunate death in 2011. Billingsley earned his Bachelor's Degree in Engineering from the U.S. Naval Academy where he served as an officer. he went on to receive his Master's Degree and doctorate in Mathematics from Princeton University.Among his many professional awards was the Mathematical Association of America's Lester R. Ford Award for mathematical exposition. His achievements through his long and esteemed career have solidified Patrick Billingsley's place as a leading authority in the field and been a large reason for his books being regarded as classics.
This Anniversary Edition of Probability and Measure offers advanced students, scientists, and engineers an integrated introduction to measure theory and probability. Like the previous editions, this Anniversary Edition is a key resource for students of mathematics, statistics, economics, and a wide variety of disciplines that require a solid understanding of probability theory.

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Probability and Measure Anniversary Edition
This Anniversary Edition of Probability and Measure offers advanced students, scientists, and engineers an integrated introduction to measure theory and probability. Retaining intact the unique approach of the Third Edition, this text interweaves material on probability and measure, so that probability problems generate an interest in measure theory, which is then developed and applied to probability. Probability and Measure provides thorough coverage of probability, measure, integration, random variables and expected values, convergence of distributions, derivatives and conditional probability, stochastic processes, Brownian motion, and ergodic theory. The Anniversary Edition features a new, pedagogically sound interior design with an emphasis on open space. Like the previous editions, this Anniversary Edition will be well received by students of mathematics, statistics, economics, and a wide variety of disciplines that require a solid understanding of probability theory.

Über den Autor und weitere Mitwirkende

Patrick Billingsley was Professor Emeritus of Statistics and Mathematics at the University of Chicago and a world-renowned authority on probability theory before his untimely death in 2011. He was the author of Convergence of Probability Measures (Wiley), among other works. Dr. Billingsley edited the Annals of Probability for the Institute of Mathematical Statistics. He received his PhD in mathematics from Princeton University.

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Buchdeckel | Copyright | Inhaltsverzeichnis | Auszug | Stichwortverzeichnis | Rückseite
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Es gibt noch keine Kundenrezensionen auf
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Die hilfreichsten Kundenrezensionen auf (beta) 3.6 von 5 Sternen  16 Rezensionen
47 von 47 Kunden fanden die folgende Rezension hilfreich
1.0 von 5 Sternen A disgrace for the Publishing Company (Wiley)! ERRORS ALL OVER 11. Dezember 2012
Von Zach - Veröffentlicht auf
Format:Gebundene Ausgabe|Von Amazon bestätigter Kauf
I will not comment on the quality of the mathematical exposition of the book, as it is a classic on the field.

This reformatted edition from the publishing company (Wiley) is pathetic! The book is literally PACKED WITH ERRORS!

And we are talking about a highly technical exposition! How on earth are they expecting you to spend time on understanding the complex notions on the later chapters of this book, when you can't even trust that they are correct?

Errors in equations start at page 5, then you get 2 more in page 6 (eq. 1.13 and 1.14), and then some! The appendix, packed with errors! I haven't even reached page 20 and found at least 11 errors (In the equations)!

They took a well established book from a recently deceased author, already at 3rd edition, which inevitably guarantees high quality and lack of errors (it couldn't have escaped the eyes of thousands of readers), they reformatted it (did not alter it), they put it in a fancier package, they ramped up the price, and started selling it as a new edition.

But in the process of reformatting, they didn't even bother reading it! NOT ONCE!

I think this is a disgrace for the memory of the deceased author, and a high disrespect to all the customers of the publishing company. It is clearly an attempt to make some easy money.


UPDATE: Upon request, a list of indicative errors

- Right before equation 1.12 he uses the symbol "\in" instead of the greek "\epsilon", which he then correctly uses in the equation. This error is repeated many times throughout the book.

- Equation 1.13 is missing an "=" sign before he opens a left curled brace. As ridiculous as this may sound...

- Equation 1.14 uses capital "S" for a variable (partial sums), while starting from equation 1.15 he uses small "s" for the same variable.

- Appendix, section A9, he correctly uses (a,b) and [a,b] for open and closed intervals respectively, and then incorrectly (a,b) and [a,nb) for left and right half-open intervals (instead of the correct (a,b] and [a,b) ).

These are all signs of really poor editing, as they are extremely easy to spot.
10 von 11 Kunden fanden die folgende Rezension hilfreich
1.0 von 5 Sternen Kindle version sucks 24. November 2012
Von Jakob Goldbach - Veröffentlicht auf
Format:Gebundene Ausgabe|Von Amazon bestätigter Kauf
Kindle version ruins this classic text.

It is either typeset by a math ignorant or the fonts used can't handle needed math symbols.

The equation fields are LaTeX images which are typeset fine but the inline math in text is the problem. E.g
no epsilons in text, instead they use \in symbol!

Also, \ny is not supported, instead a R (yes, capital R) in the text refers to the \ny in the math equation fields.

Very confusing.

Kindle version is a waste of money.
10 von 13 Kunden fanden die folgende Rezension hilfreich
5.0 von 5 Sternen Same as 3rd Edition, Buy used 14. Juli 2012
Von Jay Young - Veröffentlicht auf
Format:Gebundene Ausgabe
Just a heads up this anniversary is identical in content to third. Only difference is some preface/forward stuff... Not topics. Check table of contents and see for yourself. This is a blatant cash grab by the publisher as a new text, but you may find a reasonable price on a used 3rd edition like I did. Soon there will be used copies of this edition as well, but I wanted to mention this issue to buyers and point out that all reviewers up to this point where comped with free books to write a review. It should also be clear that many have no clue about the content of the book or these topics.

Probability and Measure, 3rd Edition

I can comment on the content and this is a 5-star book. The reviews on the 3rd edition page hold true as the content is identical. I won't repeat myself here. See that page for comparisons to other texts, prerequisites, and feedback from those who used this text and went on to reflect on the significance of this topic and this text to their success and careers inside and outside academia.
3 von 3 Kunden fanden die folgende Rezension hilfreich
1.0 von 5 Sternen Kindle version formatting is very bad 16. Oktober 2013
Von Greg M. - Veröffentlicht auf
Format:Kindle Edition|Von Amazon bestätigter Kauf
i concur with a previous reviewer: the quality of the typesetting for mathematical formulae in this book is very poor, rendering reading the book an unpleasant experience. this is a real shame. hopefully Amazon will learn how to provide tools to typeset mathematical text as beautifully as it is (normally) typeset on paper.

(to be fair, i think this is a hard problem; however, including what seem to be poor resolution images is not the way to go.)
2 von 3 Kunden fanden die folgende Rezension hilfreich
5.0 von 5 Sternen An Important Introductory Text on Measure Theory and Probability Returns 12. Juni 2012
Von John Kwok - Veröffentlicht auf
Format:Gebundene Ausgabe|Vine Kundenrezension eines kostenfreien Produkts (Was ist das?)
Hailed as a classic text in measure theory and probability, John Wiley and Sons has reissued the Third Edition of "Probability and Measure" as the "Anniversary Edition", a memorial to University of Chicago professor emeritus of statistics Patrick Billingsley, who died in 2011, after a distinguished career not only as a teacher of statistics, but also as a character actor whose screen credits included the bailiff in the film "The Untouchables". This is a book that will appeal to those interested in the mathematical foundations of measure theory, probability and some elementary statistics; a potential audience that will include not only mathematicians and statisticians, but also those interested in computer science, economics, psychometrics and biostatistics. It is a well-written text featuring Billingsley's extensive explanations of theorems behind probability, measure theory, probability distributions, conditional probability and stochastic processes. This text will be viewed too as an important reference used widely by a new generation of those interested in the theoretical aspects of measure theory, probability and elementary statistics.
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