## Friday, June 15, 2007

### I studied the first chapter in Thomas S Ferguson's course on large sample theory

Here is my work in $LaTeX$ for my notes on the weak law of large numbers. This is just Ferguson's first page and the defintion.

Student: Peter Timusk

From professor Thomas S Ferguson, UCLA

Laws of Large Numbers

$X_{n}$ converges in law to $X$,

$\begin{equation}X_{n} \longrightarrow^{L} X,\end{equation}$

if $\begin{equation}F_{X_{n}}(x) \rightarrow F_{X}(x)\end{equation}$ as n $\rightarrow \infty$ for all points x at which $F_{X} (x)$is continuous