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Modelling Extremal Events for Insurance and Finance (Applications of Mathematics S.)
Springer-Verlag Berlin and Heidelberg GmbH & Co. K (
June, 1997 )
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Excellent book  |
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This is a excellent book on modelling extrmal events. The book starts with the very good introduction and fantastic example from risk theory and goes about in applying Cramer-Lundberg theory to analyse it. It discusses in detail the llaws of large numbers and central limit theorem and discusses the fluctuations of the sum. The book then proceeds to study the fluctuations of the maxima by considering specific distributions and then the fluctuations of higher order statistics. It outlines in detail the time series analysis of heavy-tailed distributions.
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Everything is a risk  |
Are you a private investor looking for handy tips on hot stocks? Good luck, but this might not be for you. You wont find get-rick-quick advice in this scholarly work, but you might learn why youre drawn to actively managed funds despite their history of market underperformance. Youll also be enriched by the stories and depth of research here. Another reviewer objects that Bernstein credits the Greek mathematicians with less understanding of probability than a school child. It seemed to me that Bernstein is saying something different: Even if Socrates had a private opinion about the frequency of VI on an astragali roll it wasnt a respectable part of his intellectual framework. He might of known it, but he refused to study it. The author clearly considers his subject the most important in history, and in 330 pages identifies every significant step in the development of *thinking about* risk. In some ways though, the focus is too narrow. It becomes clear towards the end of the book that he has been building up the strands of probability theory as precursors to the taming of risk in modern financial theory. I was hoping that an ambitious work on the history of probability would include the discovery that all of reality is based on chance, but you can search the index for Quantum Mechanics in vain. (However Quant is there - Bernstein himself was once a financial mathematician.) In a subject as huge as risk there will always be more to say, and what is included here makes a cohesive whole whilst being important or interesting in it parts. Ok, maybe you dont love chance as much as me - what you need to know about portfolio theory is in Chapter 12 onwards - youll still have 140 pages of important results. Its even topical, Kahnemans Prospect Theory is covered in detail (and he won the Nobel last year).
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A superb popularisation of a complex subject  |
Bernstein has managed to take a subject which at first sight seems intensely boring, and has made it fascinating.Whether or not you have any interest in Risk, Statistics or Econimics, you owe it to yourself to read this book. It is quite simply a "Ripping Yarn". Its greatness lies in Bernsteins ability to tell the story in an accessible manner, without dumbing down the essential facts. Let me say it again: Read this book because it is a fascinating and well written story. The fact you will know a lot more about Risk at the end of it is an incidental, but very welcome, extra.
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