ABSTRACT

In Chapter 1 we discussed the frequency approach to probability. Suppose a random experiment is performed n times and the event E occurs in n-g times of these n tria ls. How is the ratio n^/n related to the probability of the event E? From the empirical definition of probability, we expect this ratio to be "close" to the Pr(E) and as n becomes larger this approximation will improve. Formally, as n tends to infinity we expect the ratio to converge to the true probability of the event E. In this chapter we will be formulating this idea more rigorously by developing limit theorems.