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Principles of Statistics
by M.G. Bulmer
from Dover Publications
Customer Reviews:
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Avg. Customer Rating: 4.5 / 5.0 
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Excellent Intro to Mathematical Statistics. 
This must be one of the most lucid and inexpensive intro to mathematical statistics. Clear, to-the-point, concise, with the right amount of theory and practice examples.
Bulmer has the ability to make statistics come alive. You will feel like you are getting the information right from the source. Famous names like Fisher, Bayes, and A. Student just come up naturally, as if they were narrating their own stories.
I used this book as an introduction to Steven Kay's two-volume Fundamentals of... more info
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Old but useful 
If you are looking for a book on stats to have an overall view this is not the right one. It is good though if you like to understand a few principles behind what other books tell in a nutshell.
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To Much Assumed, Not Enough Taught. 
I spent 6 months trying to teach myself statistics from this book and I studied it completely until chapter 8. The book is too terse and does not explain the steps necessary to complete a problem. Too much teaching is done in the problems at the end of the chapter where there is no teaching - it is a matter of discovering it for yourself in order to complete the problem. I spent too much time trying to discover the reasoning behind the author's text as a result of him assuming too much and not detailing his... more info
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A self-study book 
This book contains significant amount of mathematics to explain the theory of statistics and is written in such a way that one can study it on his own. Exercises are provided at the end of every chapter, with answers in appendix, which promotes the self-study aspect of the book. It is not a practical statistical calculation and inference book, for that purpose ``Practical Statistics" by R. Langley does a better job. However, to help advance into the field of random variables and further into stochastic... more info
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