14 CHAPTER 1. INTRODUCTION

and doing the applications amounts to using the right software at this point. I think thatunderstanding why certain things are true needs to be presented and this is the emphasis inthis book. However, really difficult mathematical issues are not included, especially thosethings which really need Lebesgue integration and measure theory to understand. Also,I am emphasizing moment generating functions rather than characteristic functions. I amemphasizing confidence intervals more than hypothesis testing. It seems to me that thisis easier to understand with less jargon and is sufficient to draw conclusions. It is not acomplete book on mathematical statistics, just an introduction to some of the importantideas. Not everything is proved in this section because some of the proofs are too long.However, I am making every effort to at least make it plausible.