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authorNorbert Preining <norbert@preining.info>2019-09-02 13:46:59 +0900
committerNorbert Preining <norbert@preining.info>2019-09-02 13:46:59 +0900
commite0c6872cf40896c7be36b11dcc744620f10adf1d (patch)
tree60335e10d2f4354b0674ec22d7b53f0f8abee672 /macros/latex/contrib/proba
Initial commit
Diffstat (limited to 'macros/latex/contrib/proba')
-rw-r--r--macros/latex/contrib/proba/README1
-rw-r--r--macros/latex/contrib/proba/proba.dtx256
-rw-r--r--macros/latex/contrib/proba/proba.ins27
-rw-r--r--macros/latex/contrib/proba/proba.pdf1253
4 files changed, 1537 insertions, 0 deletions
diff --git a/macros/latex/contrib/proba/README b/macros/latex/contrib/proba/README
new file mode 100644
index 0000000000..dffb87dbd2
--- /dev/null
+++ b/macros/latex/contrib/proba/README
@@ -0,0 +1 @@
+The proba package defines some macros useful for typesetting texts in probability theory. For example, macros are defined to consistently typeset the probability or conditional probability of an event, or the expectation or conditional expectation of a random variable. \ No newline at end of file
diff --git a/macros/latex/contrib/proba/proba.dtx b/macros/latex/contrib/proba/proba.dtx
new file mode 100644
index 0000000000..a585c5463e
--- /dev/null
+++ b/macros/latex/contrib/proba/proba.dtx
@@ -0,0 +1,256 @@
+% \iffalse meta-comment
+%
+% Copyright 2003 Laurent Nguyen-Ngoc
+%
+% \fi
+%
+% \iffalse
+%
+%<package>\NeedsTeXFormat{LaTeX2e}
+%<package>\ProvidesPackage{proba}
+%<package> [2003/05/31 The Probability package]
+%
+%<*driver>
+\documentclass{ltxdoc}
+\GetFileInfo{proba.sty}
+\title{The \textsf{proba} package\thanks{Version \fileversion}}
+\author{Laurent Nguyen-Ngoc}
+\date{\filedate}
+\begin{document}
+\maketitle
+\DocInput{proba.dtx}
+\RecordChanges
+\PrintChanges
+\end{document}
+%</driver>
+%
+%\fi
+%
+% \CheckSum{230}
+% \changes{1.0}{2003/05/31}{Initial version}
+% \changes{1.01}{2003/07/26}{Added indicator function}
+% \section{Introduction}
+%
+% The |proba| package provides some shortcuts to mathematical symbols
+% commonly used when writing articles about probability theory. You should
+% be aware that some of those shortcuts may intersect with other package
+% commands, or worse attempt to redefine commands defined elsewhere.
+%
+% In fact, I have not tried to really look at the number of packages that
+% already exist.
+%
+% The shortcuts are defined with some default symbols associated to them,
+% but can easily be customized. In fact, it happens quite often that one
+% needs the same sort of symbol, just with a different letter, in the same
+% document, and the shortcuts are defined in such a way to accomodate with
+% this need.
+%
+% \StopEventually{}
+%
+% \section{Implementation}
+% In this section we shall describe the syntax of the commands, as well as
+% the implementation.
+%
+% \subsection{Sets}
+%
+% We define the set symbols as blackboard letters as provided by the
+% |amsfonts| package. For those symbols as well as for others, the
+% |amsfonts| package is therefore required.
+% \begin{macrocode}
+\RequirePackage{amsfonts}
+% \end{macrocode}
+% The usual syntax to obtain a set name is |\<Capital Letter>|. More
+% precisely:
+% \begin{macrocode}
+\DeclareRobustCommand{\A}[0]{\mathbb{A}}
+\DeclareRobustCommand{\B}[0]{\mathbb{B}}
+\DeclareRobustCommand{\C}[0]{\mathbb{C}}
+\DeclareRobustCommand{\D}[0]{\mathbb{D}}
+\DeclareRobustCommand{\E}[0]{\mathbb{E}}
+\DeclareRobustCommand{\F}[0]{\mathbb{F}}
+\DeclareRobustCommand{\G}[0]{\mathbb{G}}
+\DeclareRobustCommand{\H}[0]{\mathbb{H}}
+\DeclareRobustCommand{\I}[0]{\mathbb{I}}
+\DeclareRobustCommand{\J}[0]{\mathbb{J}}
+\DeclareRobustCommand{\K}[0]{\mathbb{K}}
+\DeclareRobustCommand{\L}[0]{\mathbb{L}}
+\DeclareRobustCommand{\M}[0]{\mathbb{M}}
+\DeclareRobustCommand{\N}[0]{\mathbb{N}}
+\DeclareRobustCommand{\O}[0]{\mathbb{O}}
+\DeclareRobustCommand{\P}[0]{\mathbb{P}}
+\DeclareRobustCommand{\Q}[0]{\mathbb{Q}}
+\DeclareRobustCommand{\R}[0]{\mathbb{R}}
+\DeclareRobustCommand{\S}[0]{\mathbb{S}}
+\DeclareRobustCommand{\T}[0]{\mathbb{T}}
+\DeclareRobustCommand{\U}[0]{\mathbb{U}}
+\DeclareRobustCommand{\V}[0]{\mathbb{V}}
+\DeclareRobustCommand{\W}[0]{\mathbb{W}}
+\DeclareRobustCommand{\X}[0]{\mathbb{X}}
+\DeclareRobustCommand{\Y}[0]{\mathbb{Y}}
+\DeclareRobustCommand{\Z}[0]{\mathbb{Z}}
+% \end{macrocode}
+% Note that the |\mathbb| command ensures that those shortcuts to sets
+% can be used in math mode only.
+%
+% \subsection{$\sigma$-fields and filtrations}
+%
+% In probability, the $\sigma$-fields and filtrations are commonly
+% designated by letters in calligraphic style. Since such symbols are often
+% needed in a probability-related document, we provide shortcuts to them.
+% The usual syntax in this case is |\cal<Capital Letter>|.
+% \begin{macrocode}
+\DeclareRobustCommand{\calA}[0]{{\mathcal A}}
+\DeclareRobustCommand{\calB}[0]{{\mathcal B}}
+\DeclareRobustCommand{\calC}[0]{{\mathcal C}}
+\DeclareRobustCommand{\calD}[0]{{\mathcal D}}
+\DeclareRobustCommand{\calE}[0]{{\mathcal E}}
+\DeclareRobustCommand{\calF}[0]{{\mathcal F}}
+\DeclareRobustCommand{\calG}[0]{{\mathcal G}}
+\DeclareRobustCommand{\calH}[0]{{\mathcal H}}
+\DeclareRobustCommand{\calI}[0]{{\mathcal I}}
+\DeclareRobustCommand{\calJ}[0]{{\mathcal J}}
+\DeclareRobustCommand{\calK}[0]{{\mathcal K}}
+\DeclareRobustCommand{\calL}[0]{{\mathcal L}}
+\DeclareRobustCommand{\calM}[0]{{\mathcal M}}
+\DeclareRobustCommand{\calN}[0]{{\mathcal N}}
+\DeclareRobustCommand{\calO}[0]{{\mathcal O}}
+\DeclareRobustCommand{\calP}[0]{{\mathcal P}}
+\DeclareRobustCommand{\calQ}[0]{{\mathcal Q}}
+\DeclareRobustCommand{\calR}[0]{{\mathcal R}}
+\DeclareRobustCommand{\calS}[0]{{\mathcal S}}
+\DeclareRobustCommand{\calT}[0]{{\mathcal T}}
+\DeclareRobustCommand{\calU}[0]{{\mathcal U}}
+\DeclareRobustCommand{\calV}[0]{{\mathcal V}}
+\DeclareRobustCommand{\calW}[0]{{\mathcal W}}
+\DeclareRobustCommand{\calX}[0]{{\mathcal X}}
+\DeclareRobustCommand{\calY}[0]{{\mathcal Y}}
+\DeclareRobustCommand{\calZ}[0]{{\mathcal Z}}
+% \end{macrocode}
+%
+% \subsection{Probability symbols}
+%
+% Now we deal with symbols more directly related to probability.
+% Probability laws and expectations are often denoted by blackboard
+% letters. Although shortcuts to such letters have already been defined
+% in the set shortcuts, new ones are introduced that also handle
+% any delimiters needed.
+%
+% \subsubsection{Elementary probability}
+% First some shortcuts to symbols that are used at all levels of
+% probability theory.
+%
+% \begin{macro}{\prob}
+% First we define a simple |\prob| shortcut that simply produces a
+% blackboard capital P by default, but whose optional argument makes it
+% easy to switch to a different letter.
+% \begin{macrocode}
+\DeclareRobustCommand{\prob}[1][P]{\ensuremath {\mathbb{#1}}}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\probX}
+% Our next command defines a proability and takes as an argument the event
+% in the probability. Again, P is the default probability symbol, but any
+% letter can override it as an optional argument.
+% \begin{macrocode}
+\DeclareRobustCommand{\probX}[2][{\mathbb{P}}]{\ensuremath{ {#1}\left[ {#2} \right]}}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\cprobX}
+% |\cprobX| offers a shortcut to type conditional probability. It takes 3
+% arguments: the first one is the symbol to be used as the probability,
+% the second one is the event and the last one is the conditioning.
+% \begin{macrocode}
+\DeclareRobustCommand{\probCX}[3][{\mathbb{P}}]{\ensuremath{ {#1}\left[ {#2} \big| {#3} \right]}}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\EX}
+% Now are defined the expectation related symbols. We begin by a simple
+% expectation that takes care of delimiters.
+% \begin{macrocode}
+\DeclareRobustCommand{\EX}[2][{\mathbb{E}}]{\ensuremath {#1}\left[ {#2} \right]}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\cEX}
+% Just like for probabilities, a conditional version of the expectation is
+% provided.
+% \begin{macrocode}
+\DeclareRobustCommand{\cEX}[3][{\mathbb{E}}]{\ensuremath {#1}\left[ {#2} \big| {#3} \right]}
+% \end{macrocode}
+% \end{macro}
+%
+%\begin{macro}{\Var}
+% Also a math operator is defined for the variance.
+% This simple version has just an optional argument that goes as a
+% subscript to ``Var''.
+% \begin{macrocode}
+\DeclareRobustCommand{\Var}[1][]{\ensuremath{\mathrm{Var[#1]}}}
+% \end{macrocode}
+% \end{macro}
+%
+%\begin{macro}{\VarX}
+% Now we take care of delimiters for what is inside the variance.
+% \begin{macrocode}
+\DeclareRobustCommand{\VarX}[2][]{\ensuremath{\mathrm{Var}_{#1}\left[ {#2} \right]}}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\cVarX}
+% A conditional variance command is also provided, although less often
+% used.
+% \begin{macrocode}
+\DeclareRobustCommand{\cVarX}[3][]{\ensuremath \mathrm{Var}_{#1}\left[ {#2} \big| {#3} \right]}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\eqlaw}
+% A shortcut for equality in law is provided.
+% \begin{macrocode}
+\DeclareRobustCommand{\eqlaw}[0]{\mathop{\stackrel{(d)}{=}}}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\tolaw}
+% |\tolaw| is a shortcut to a symbol for convergence in law.
+% \begin{macrocode}
+\DeclareRobustCommand{\tolaw}[0]{\mathop{\stackrel{(d)}{\longrightarrow}}}
+% \end{macrocode}
+% \end{macro}
+%
+% \subsubsection{Stochastic processes}
+%
+% Some notation is customary when dealing with stochastic processes. Note
+% that the same notation is sometimes used also in other parts of
+% mathematics.
+%
+% \begin{macro}{\qvar}
+% The quadratic variation of two processes arises quite often. The command
+% |\qvar|gives the right bracket of two processes.
+% \begin{macrocode}
+\DeclareRobustCommand{\qvar}[2]{\ensuremath{\left[ {#1},{#2} \right]}}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\cqvar}
+% Obviously, a shortcut for the conditional quadratic variation, or oblique
+% bracket is also provided.
+% \begin{macrocode}
+\DeclareRobustCommand{\cqvar}[2]{\ensuremath{\langle {#1},\,{#2} \rangle}}
+% \end{macrocode}
+% \end{macro}
+%
+%
+% \subsection{Miscellany}
+% Some miscellaneous symbols or functions defined here.
+%
+% \begin{macro}{\1}
+% First, an indicator function, that prints a bold 1 and puts curly
+% braces.
+% \begin{macrocode}
+\DeclareRobustCommand{\1}[1]{\ensuremath \mathbf{1}_{\{#1\}}}
+% \end{macrocode}
+% \end{macro}
+% \Finale
diff --git a/macros/latex/contrib/proba/proba.ins b/macros/latex/contrib/proba/proba.ins
new file mode 100644
index 0000000000..2ce7be2306
--- /dev/null
+++ b/macros/latex/contrib/proba/proba.ins
@@ -0,0 +1,27 @@
+\input docstrip
+
+\preamble
+
+------------------------------------------------------------------------
+The `proba' package --- typesetting texts in probability theory
+Copyright (c) 2003 Laurent Nguyen-Ngoc.
+
+This work may be distributed and/or modified under the conditions of the
+LaTeX Project Public License, either version 1.3c of this license or (at
+your option) any later version. The latest version of this license is in:
+http://www.latex-project.org/lppl.txt, and version 1.3c or later is part
+of all distributions of LaTeX version 2005/12/01 or later.
+
+This work has the LPPL maintenance status `author-maintained'.
+
+This work consists of the files proba.dtx, proba.ins, and README and the
+derived files proba.sty and proba.pdf.
+------------------------------------------------------------------------
+
+\endpreamble
+
+\keepsilent
+
+\generate{\file{proba.sty}{\from{proba.dtx}{package}}}
+
+\endbatchfile
diff --git a/macros/latex/contrib/proba/proba.pdf b/macros/latex/contrib/proba/proba.pdf
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