Bibliography for Math-448

Textbooks:

The textbook for the course is:

Mathematical Statistics with Applications. D. Wackerly, W. Mendenhall III and R. L. Scheaffer. 2001. Sixth edition. Brooks/Cole.
Other comparable texbooks are:

Introduction to Probability and Mathematical Statistics. L. J. Bain and M. Englehardt. 2002. 2nd Edition . Brooks/Cole.
Probability and Statistical Inference. R. V. Hogg and E. A. Tanis. 2000. 6th Edition. Pearson Education.
An Introduction to Mathematical Statistics and Its Applications. 2000. R. J. Larsen and M. L. Marx. 3rd Edition. Pearson Education.

Some references on the history and philosophy of statistics are:

Against the Gods: The Remarkable Story of Risk. 1998. Peter L. Bernstein. Wiley, John & Sons.
This book narrates the history of risk as a economical concept from the ancient greeks until the 1990's. Managing risk is the main goal of actuarial sciences (and the insurance industry). Many interesting facts about the history of actuarial sciences and economics are in the book. Different concepts in economics (and statistics) and their origin are explained.

The Lady Tasting Tea: How Statistics Revolutionized Science in the Twentieth Century. 2002. David Salsburg. Henry Holt & Company, Incorporated.
This book describes the history of the creators of the basic concepts in applied statistics: K. Pearson, R. Fisher, W. Gosset, J. Neyman, E. Pearson, etc. These people developed the main concepts in basic statistics: t-distribution, linear regression, confidence intervals, hypothesis testing, etc. Although, these concepts were developed for applications in field different from actuarial sciences, these concepts are basic in the study of actuarial sciences and economics (as well as in many sciences). It is interesting to see the scientific fights between the main makers of statistics. Statistical analysis has inundated the science, economics, politics and the life of the 20-th century. The book lacks a little in the technical side. The technical concepts are not explained as clearly as they should have been.
Other books:

Emergence of Probability. Ian Hacking. 1984. Cambridge University Press.

Taming of Chance. Ian Hacking, Tim Hacking. 1990. Cambridge University Press.

The Empire of Chance: How Probability Changed Science and Everyday Life. Gerd Gigerenzer, Lorenz Kruger, Lorraine Daston, John Beatty, Zeno Swijtink. 1900. Cambridge University Press.