Introduction to Statistical Thought
by Michael Lavine
Number of pages: 434
Upper undergraduate or introductory graduate book in statistical thinking for students with a solid background in calculus and the ability to think abstractly. The focus is on ideas and concepts, as opposed to technical details of how statisticians put those ideas into practice. The book uses computer simulations written with the statistical language R, which is available for free download.
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by D Caradog Jones - G Bell
First part of the book is within the understanding of the ordinary person. Part 2 is more mathematical, but the results are explained in such a way that the reader shall gain a general idea of the theory and applications without mastering the proofs.
by C.E. Weatherburn - Cambridge University Press
This book provides the mathematical foundations of statistics. It explains the principles, and proves the formulae to give validity to the methods of the interpretation of statistical data. It is of interest to students of a wide variety of subjects.
by James E. Gentle - George Mason University
This document is directed toward students for whom mathematical statistics is or will become an important part of their lives. Obviously, such students should be able to work through the details of 'hard' proofs and derivations.
by David Brink - BookBoon
After reading the theory book about Statistics it is time to test your knowledge to make sure that you are well prepared for your exam. This free exercise book follows the same structure as the theory book about Statistics.