STATS 425 Lecture 4: Overview of further topics
Document Summary
If x1, x2 are independent rvs with common mean e(xi) = u, then for any >0 o: in the limit as n , this is the weak law of large numbers. Says that the sample average converges to the expectation. Can also be described as saying that the sample mean converges to the population mean. Says nothing about the rate of convergence. If x is any rv with e(x) = u, var(x) = ^2 then: p(|x-u|>= ) <= ( ^2/ ^2) for any >0.
