by Saeed Ghahramani
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Product Description
Presenting probability in a natural way, this book uses interesting, carefully selected instructive examples that explain the theory, definitions, theorems, and methodology. Fundamentals of Probability has been adopted by the American Actuarial Society as one of its main references for the mathematical foundations of actuarial science. Topics include: axioms of probability; combinatorial methods; conditional probability and independence; distribution functions and discrete random variables; special discrete distributions; continuous random variables; special continuous distributions; bivariate distributions; multivariate distributions; sums of independent random variables and limit theorems; stochastic processes; and simulation. For anyone employed in the actuarial division of insurance companies and banks, electrical engineers, financial consultants, and industrial engineers.
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Average Customer Review:
0 of 0 people found the following review helpful:
 There are better alternatives to this., 2008-11-20
The bad part is that I had to buy this book for my Probability course, and I will probably end up throwing it away after the course ends. There are exercises in each chapter I have covered so far which have little to do with the material in the chapter. I have also found material which is introduced with little or no continuity. The language is rigid, and the flow of thought is not linear. Overall, it makes the learning experience less efficient, and more frustrating; it increases the load on the student, who is forced to make the connections himself, instead of presenting them in the text, as appropriate, or introducing them via exercises which connect with the current chapter material.
The good part is that there are books out there which, in my personal opinion, and using my understand-o-meter, are much better.
0 of 0 people found the following review helpful:
 Very good and concrete introduction!, 2007-11-13
I am a graduate in statistics. The textbook I used is the Introduction to probability by bertsekas and Tsitsiklis while I used this book for supplementary and I found it excellent! It provides some brief history about probability and most improtant, concrete process of the proof of theorms, many of which are very attractive to me!
2 of 4 people found the following review helpful:
 Too Much Talking, 2006-02-18
The author of this book just can't shut his mouth! He babbles on and on about all kinds of nonsense, because he doesn't know how to bring the material clearly, concisely, and in logical order. Don't get me wrong: it's pretty good textbook, and relatively rigorous too. It's just that this book is smiply too long. If Mr Ghahramani wants to illustrate concepts with an endless stream of babble and examples, at least give some sort of overview at the end of paragraphs. Don't burden the reader with the task of seperating what is important from what is meant more as an illustration in case you didn't understand the theoretical concepts.
What's perhaps even more irritating, though, is the absense of a study aid with answers. This makes it virtually impossible to use it for self-study. There are (ironically) very concise answers to the odd-numbered questions at the end, but I prefer to check my answers immediately and learn from any mistakes I may have made.
I may have fired away a bit too strongly at the beginning. Instructors might even be delighted by this book; its division of questions into easy and difficult is also useful. However, I'd scout the market a little more closely before using "Fundamentals of Probability" in a course.
NOTE: I MEANT TO GIVE THIS PRODUCT 2.5 (OR 3) STARS, BUT I CAN'T CHANGE THE ONE STAR SHOWN FOR SOME REASON
3 of 4 people found the following review helpful:
 It's actually somewhat readable., 2005-06-24
This book is all right for a math book. Every time I forget something in probability, I can go back to this thing and find exactly what I'm looking for. I guess it could be more rigorous, but I think that would ruin it's understandability. It could definitely use more examples, but I say that about every book. I'm sure it contains its share of typos, but I'm so used to seeing typos in math texts I don't give them a second thought.
This book can sure help you with figuring out how to compute odds in poker, so check it out.
5 of 8 people found the following review helpful:
Good book on probability for all but mathematicians..., 2005-05-31
This book is probably not rigorous enough for a serious mathematics student in probability/statistics, although I am basing this partly on the fact that I (EE Ph.D.) can read and understand this book whereas I can hardly get through a page in a book like Mathematical Statistics by Wilks without extensive background reading. Ghahramani's book has many interesting examples, such as Polya's problems on estimating the number of misprints in a book when two proofreaders each catch a certain (differing) number of mistakes (estimating an unknown frequency). It is quite readable. My only real criticism, and this is not unique to Ghahramani's book, is that "a picture is worth a thousand words" i.e. it is lacking in figures - e.g. if you are going to talk about the central limit theorem, it would be more easily grasped to students to show how the sums of some non-normal distributions quickly approach a normal through a figure or two. [...]
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