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11 changes: 11 additions & 0 deletions Homeworks/hw1.aux
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\relax
\@writefile{toc}{\contentsline {section}{\numberline {1}Prerequisites}{1}}
\@writefile{toc}{\contentsline {section}{\numberline {2}Basic probability}{1}}
\@writefile{toc}{\contentsline {section}{\numberline {3}Random variables, univariate densities}{2}}
\@writefile{toc}{\contentsline {section}{\numberline {4}Expected values and variances}{5}}
\@writefile{toc}{\contentsline {section}{\numberline {5}Random vectors, independence, conditional probabilities}{8}}
\@writefile{toc}{\contentsline {section}{\numberline {6}Conditional probabilities, Bayes rule}{9}}
\@writefile{toc}{\contentsline {section}{\numberline {7}Standard distributions}{9}}
\@writefile{toc}{\contentsline {section}{\numberline {8}Limit theorems and sampling distributions}{10}}
\@writefile{toc}{\contentsline {section}{\numberline {9}Likelihood}{13}}
\@writefile{toc}{\contentsline {section}{\numberline {10}Programming}{16}}
303 changes: 303 additions & 0 deletions Homeworks/hw1.log
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2 changes: 1 addition & 1 deletion Homeworks/hw1.tex
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Expand Up @@ -22,7 +22,7 @@ \section{Prerequisites}
\item Show that the derivative of the function $(1 + e^{-x})^{-1}$ is the function from the previous problem.
\item Plot the functions from the previous 3 problems in R.
\item Argue that $\sum_{x=0}^\infty \frac{e^{-\lambda}\lambda^x}{x!} = 1$ for $\lambda > 0$.
\item Argue that $\sum_{x=0}^\infty p(1 - p)^{x-1} = 1$
\item Argue that $\sum_{x=1}^\infty p(1 - p)^{x-1} = 1$
\end{enumerate}

\section{Basic probability}
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