From e7c78fa34c70fa8355181ecb45d1e0e95a855081 Mon Sep 17 00:00:00 2001 From: lmyint Date: Thu, 5 Sep 2013 15:57:20 -0400 Subject: [PATCH 1/2] Edited last problem of part 1 --- Homeworks/hw1.tex | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/Homeworks/hw1.tex b/Homeworks/hw1.tex index 0281938..81078be 100644 --- a/Homeworks/hw1.tex +++ b/Homeworks/hw1.tex @@ -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} From 76bd603192d38f6f9854279088c06720bf968549 Mon Sep 17 00:00:00 2001 From: Leslie Myint Date: Thu, 5 Sep 2013 15:58:51 -0400 Subject: [PATCH 2/2] Edited last problem of part 1 --- Homeworks/hw1.aux | 11 ++ Homeworks/hw1.log | 303 +++++++++++++++++++++++++++++++++++++++ Homeworks/hw1.pdf | Bin 206541 -> 206539 bytes Homeworks/hw1.synctex.gz | Bin 0 -> 136260 bytes Homeworks/hw1.tex | 2 +- 5 files changed, 315 insertions(+), 1 deletion(-) create mode 100644 Homeworks/hw1.aux create mode 100644 Homeworks/hw1.log create mode 100644 Homeworks/hw1.synctex.gz diff --git a/Homeworks/hw1.aux b/Homeworks/hw1.aux new file mode 100644 index 0000000..fe20ccb --- /dev/null +++ b/Homeworks/hw1.aux @@ -0,0 +1,11 @@ +\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}} diff --git a/Homeworks/hw1.log b/Homeworks/hw1.log new file mode 100644 index 0000000..75c57dc --- /dev/null +++ b/Homeworks/hw1.log @@ -0,0 +1,303 @@ +This is pdfTeX, Version 3.1415926-2.4-1.40.13 (MiKTeX 2.9 64-bit) (preloaded format=pdflatex 2013.9.4) 5 SEP 2013 15:50 +entering extended mode +**hw1.tex + +("C:\Users\Leslie Loves Nick\Documents\School\Grad School\Advanced Methods in B +iostatistics I\751and2\Homeworks\hw1.tex" +LaTeX2e <2011/06/27> +Babel and hyphenation patterns for english, afrikaans, ancientgreek, ar 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p)^{x-1} = 1$ \end{enumerate} \section{Basic probability}