\contentsline {section}{\numberline {1}Uniform Random Number Generation}{2}{section.1}
\contentsline {section}{\numberline {2}Generating Random Numbers from Continuous Distributions}{3}{section.2}
\contentsline {subsection}{\numberline {2.1}The Inverse Transformation Method}{3}{subsection.2.1}
\contentsline {subsubsection}{\numberline {2.1.1}General Description of the Method}{3}{subsubsection.2.1.1}
\contentsline {subsubsection}{\numberline {2.1.2}Example: The Exponential Family}{4}{subsubsection.2.1.2}
\contentsline {subsection}{\numberline {2.2}The Acceptance/Rejection Method}{4}{subsection.2.2}
\contentsline {subsubsection}{\numberline {2.2.1}General Description of the Method}{4}{subsubsection.2.2.1}
\contentsline {subsubsection}{\numberline {2.2.2}Example}{4}{subsubsection.2.2.2}
\contentsline {subsection}{\numberline {2.3}{\it Ad Hoc} Methods}{5}{subsection.2.3}
\contentsline {subsubsection}{\numberline {2.3.1}Example: The Erlang Family}{5}{subsubsection.2.3.1}
\contentsline {subsubsection}{\numberline {2.3.2}Example: The Normal Family}{5}{subsubsection.2.3.2}
\contentsline {section}{\numberline {3}Generating Random Numbers from Discrete Distributions}{6}{section.3}
\contentsline {subsection}{\numberline {3.1}The Inverse Transformation Method}{6}{subsection.3.1}
\contentsline {subsection}{\numberline {3.2}{\it Ad Hoc} Methods}{6}{subsection.3.2}
\contentsline {subsubsection}{\numberline {3.2.1}The Binomial Family}{6}{subsubsection.3.2.1}
\contentsline {subsubsection}{\numberline {3.2.2}The Geometric Family}{6}{subsubsection.3.2.2}
\contentsline {subsubsection}{\numberline {3.2.3}The Poisson Family}{6}{subsubsection.3.2.3}