There is a large number of books covering probability and statistics. The list below
is a small segment from what is available with some commentary.
John A. Rice, Mathematical Statistics and Data Analysis,
Third Edition, Brooks/Cole, 2006 A nice book to get started. It is not meant for
economics students but it is not too mathematically demanding and covers most of what
we will cover in class.
George. G. Roussas, A Course in Mathematical Statistics, Third Edition,
Academic Press, 2012. A slightly more mathematically demanding but well organized
and presented.
George Casella, Roger L. Berger, Statistical Inference, Duxbury Press, 2nd edition, 2001.
A heavy going and demanding book for more ambitious students.
Takeshi Amemiya, Introduction to Statistics and Econometrics, Harvard University Press, 1994.
A well organized and presented book with a view towards econometrics. It is not too demanding but
covers quite a bit of ground. One more advantage is its reasonable size.
William H. Greene, Econometric Analysis, Third edition, Prentice Hall, 1997. A book meant
primarily for economics students who will go on to econometrics. Nicely written but occasionally
demanding because it assumes some previous knowledge.