diff options
author | Karl Berry <karl@freefriends.org> | 2010-11-04 17:51:47 +0000 |
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committer | Karl Berry <karl@freefriends.org> | 2010-11-04 17:51:47 +0000 |
commit | 199ea6eb5e7f79d4ab184f2626ff1c5846fa74e4 (patch) | |
tree | 7e3c7a58e6fcb868922d5569038a2449a7ae581c /Master/texmf-dist/tex/latex/ltxmisc | |
parent | 0d5d57c86ee7cff21b2bb96d34606564353c973c (diff) |
separate package statex (3nov10)
git-svn-id: svn://tug.org/texlive/trunk@20306 c570f23f-e606-0410-a88d-b1316a301751
Diffstat (limited to 'Master/texmf-dist/tex/latex/ltxmisc')
-rw-r--r-- | Master/texmf-dist/tex/latex/ltxmisc/statex.sty | 441 |
1 files changed, 0 insertions, 441 deletions
diff --git a/Master/texmf-dist/tex/latex/ltxmisc/statex.sty b/Master/texmf-dist/tex/latex/ltxmisc/statex.sty deleted file mode 100644 index a8f3f6f7d19..00000000000 --- a/Master/texmf-dist/tex/latex/ltxmisc/statex.sty +++ /dev/null @@ -1,441 +0,0 @@ -%% -%% This is file `statex.sty'. -%% -%% Copyright (C) 2002-2006 by Rodney A Sparapani <rsparapa@mcw.edu> -%% -%% This file may be distributed and/or modified under the -%% conditions of the LaTeX Project Public License, either version 1.2 -%% 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 1.2 or later is part of all distributions of LaTeX -%% version 1999/12/01 or later. -%% -\NeedsTeXFormat{LaTeX2e} -\ProvidesPackage{statex}[2006/05/17 v1.6 a statistics style for latex] -\RequirePackage{ifthen} -\RequirePackage{amsmath} -\RequirePackage{amssymb} -\RequirePackage{bm} -\RequirePackage{color} -%\RequirePackage[dvipsnames,usenames]{color} - -%begin: borrowed from upgreek; thanks to Walter Schmidt <was@VR-Web.de> -%use Adobe Symbol for upright pi (constant) - \DeclareSymbolFont{ugrf@m}{U}{psy}{m}{n} - \DeclareMathSymbol{\cpi}{\mathord}{ugrf@m}{`p} -%to use Euler Roman comment previous lines and uncomment rest of block -% \DeclareFontFamily{U}{eur}{\skewchar\font'177} -% \DeclareFontShape{U}{eur}{m}{n}{% -% <-6> eurm5 <6-8> eurm7 <8-> eurm10}{} -% \DeclareFontShape{U}{eur}{b}{n}{% -% <-6> eurb5 <6-8> eurb7 <8-> eurb10}{} -% \DeclareSymbolFont{ugrf@m}{U}{eur}{m}{n} -% \SetSymbolFont{ugrf@m}{bold}{U}{eur}{b}{n} -% \DeclareMathSymbol{\cpi}{\mathord}{ugrf@m}{"19} -%end - -%new commands -\DeclareMathAlphabet{\sfsl}{OT1}{cmss}{m}{sl} -%the next command seems to have no effect when used in conjunction with bm!?! -\SetMathAlphabet{\sfsl}{bold}{OT1}{cmss}{bx}{sl} -\DeclareMathOperator{\logit}{logit} -\DeclareMathOperator{\diag}{diag} -\DeclareMathOperator{\erf}{erf} -\newcommand*{\chisq}{\relax\ifmmode\chi^2\else$\chi^2$\fi} -%\newcommand*{\e}[1]{\mathrm{e}\ifthenelse{\equal{#1}{}}{}{^{#1}}} -\newcommand*{\e}[1]{\mathrm{e}^{#1}} -%\newcommand*{\exp}[1]{\mathrm{e}^{#1}} -\newcommand*{\E}[2][]{\text{E}\ifthenelse{\equal{#1}{}}{}{_{#1}} \wrap{#2}} -\newcommand*{\ha}{{\frac{\alpha}{2}}} -\newcommand*{\I}[2][]{\text{I}\ifthenelse{\equal{#1}{}}{}{_{#1}} \wrap[()]{#2}} -\newcommand*{\IBeta}[2]{\frac{\Gamma[#1+#2]}{\Gamma[#1]\Gamma[#2]}} -\newcommand*{\If}{\;\text{if}\;\;} -%\newcommand*{\ij}{{i,j}} -\newcommand*{\im}{\mathrm{i}} -%\newcommand*{\lb}{\left[} -%\newcommand*{\lp}{\left(} -%\newcommand*{\lr}[1][]{\left[ #1 \right]} -\newcommand*{\ol}{\overline} -\newcommand*{\ow}{\;\text{otherwise}\;\;} -\newcommand*{\rb}{\right]} -\newcommand*{\rp}{\right)} -\newcommand*{\sd}{\sigma} -\newcommand*{\ul}{\underline} -\newcommand*{\V}[2][]{\text{V}\ifthenelse{\equal{#1}{}}{}{_{#1}} \wrap{#2}} -\newcommand*{\where}{\;\;\text{where}\;\;} -\newcommand*{\wrap}[2][]% -{\ifthenelse{\equal{#1}{}}{\left[ #2 \right]}% -{\ifthenelse{\equal{#1}{()}}{\left( #2 \right)}% -{\ifthenelse{\equal{#1}{\{\}}}{\left\{ #2 \right\}}% -%{\ifthenelse{\equal{#1}{(.}}{\left( #2 \right.}% -%{\ifthenelse{\equal{#1}{[.}}{\left[ #2 \right.}% -{\ifthenelse{\equal{#1}{\{.}}{\left\{ #2 \right.}{}}}}} -\newcommand*{\xy}{{xy}} -\newcommand*{\XY}{{XY}} -%\newcommand*{\n}[1][]{_{n #1}} -%\def\bp(#1){\left(#1\right)} -%\newcommand*{\bb}[1][]{\left[ #1 \right]} - -%re-definitions -%\def~{\relax\ifmmode\sim\else\nobreakspace{}\fi} -\renewcommand*{~}{\relax\ifmmode\sim\else\nobreakspace{}\fi} - -\newcommand*{\iid}{\;\stackrel{\text{iid}}{~}\;} -\newcommand*{\ind}{\;\stackrel{\text{ind}}{~}\;} -\newcommand*{\indpr}{\;\stackrel{\text{ind}}{\stackrel{\text{prior}}{~}}\;} -\newcommand*{\post}{\;\stackrel{\text{post}}{~}\;} -\newcommand*{\prior}{\;\stackrel{\text{prior}}{~}\;} - -%\let\STATEXi=\i -%\renewcommand*{\i}[1][]{\ifthenelse{\equal{#1}{}}{\STATEXi}{_{i #1}}} - -\let\STATEXGamma=\Gamma -\renewcommand*{\Gamma}[1][]{\STATEXGamma\ifthenelse{\equal{#1}{}}{}{\wrap[()]{#1}}} - -\let\STATEXand=\and -\renewcommand*{\and}{\relax\ifmmode\expandafter\;\;\text{and}\;\;\else\expandafter\STATEXand\fi} - -\let\STATEXH=\H -\renewcommand*{\H}{\relax\ifmmode\expandafter\text{H}\else\expandafter\STATEXH\fi} - -\let\STATEXP=\P -\renewcommand*{\P}[2][]{\ifthenelse{\equal{#2}{}}{\STATEXP}% -{\text{P}\ifthenelse{\equal{#1}{}}{}{_{#1}}\wrap{#2}}} - -\renewcommand*{\|}{\relax\ifmmode\expandafter\mid\else\expandafter$\mid$\fi} - -%%Discrete distributions -%declarations -\newcommand*{\B}[1]{\mathrm{B}\wrap[()]{#1}} -\newcommand*{\BB}[1]{\mathrm{Beta\!-\!Bin}\wrap[()]{#1}} -\newcommand*{\Bin}[1]{\mathrm{Bin}\wrap[()]{#1}} -\newcommand*{\Dir}[1]{\mathrm{Dirichlet}\wrap[()]{#1}} -\newcommand*{\HG}[1]{\mathrm{Hypergeometric}\wrap[()]{#1}} -\newcommand*{\M}[1]{\mathrm{Multinomial}\wrap[()]{#1}} -\newcommand*{\NB}[1]{\mathrm{Neg\!-\!Bin}\wrap[()]{#1}} -\newcommand*{\Poi}[1]{\mathrm{Poisson}\wrap[()]{#1}} -\let\Poisson=\Poi -%probability mass functions -\newcommand*{\pBB}[4][x]{\frac{\Gamma[#2+1]\Gamma[#3+#1]\Gamma[#2+#4-#1]\Gamma[#3+#4]}% -{\Gamma[#1+1]\Gamma[#2-#1+1]\Gamma[#2+#3+#4]\Gamma[#3]\Gamma[#4]}% -\I[#1]{\{0, 1,\., #2\}}, \where #3>0,\; #4>0 \and n=1, 2,\.} -%\newcommand{\pBB}[4][x]{\frac{\Gamma[#2+1]}{\Gamma[#1+1]\Gamma[#2-#1+1]}% -%\frac{\Gamma[#3+#1]\Gamma[#2+#4-#1]}{\Gamma[#2+#3+#4]}% -%\frac{\Gamma[#3+#4]}{\Gamma[#3]\Gamma[#4]}\I[#1]{\{0, 1,\., #2\}},% -%\where #3>0,\; #4>0 \and n=1, 2,\.} -\newcommand*{\pBin}[3][x]{\binom{#2}{#1}#3^#1 \wrap[()]{1-#3}^{#2-#1}% -\I[#1]{\{0,1,\.,#2\}}, \where p \in \wrap[()]{0, 1} \and n=1, 2,\.} -\newcommand*{\pPoi}[2][x]{\frac{1}{#1!}#2^{#1}\e{-#2}\I[#1]{\{0, 1,\.\}}, \where #2>0} - -%%Continuous distributions -%declarations -\newcommand*{\Cau}[1]{\mathrm{Cauchy}\wrap[()]{#1}} -\let\Cauchy=\Cau -\newcommand*{\Chi}[1]{\mathrm{\chi^2}\wrap[()]{#1}} -\let\Chisq=\Chi -\newcommand*{\Bet}[1]{\mathrm{Beta}\wrap[()]{#1}} -\let\Beta=\Bet -\newcommand*{\Exp}[1]{\mathrm{Exp}\wrap[()]{#1}} -\newcommand*{\F}[1]{\mathrm{F}\wrap[()]{#1}} -\newcommand*{\Gam}[1]{\mathrm{Gamma}\wrap[()]{#1}} -\newcommand*{\IC}[1]{\mathrm{\chi^{-2}}\wrap[()]{#1}} -\newcommand*{\IG}[1]{\mathrm{Gamma^{-1}}\wrap[()]{#1}} -\newcommand*{\IW}[1]{\mathrm{Wishart^{-1}}\wrap[()]{#1}} -\newcommand*{\Log}[1]{\mathrm{Logistic}\wrap[()]{#1}} -\newcommand*{\LogN}[1]{\mathrm{Log\!-\!N}\wrap[()]{#1}} -\newcommand*{\N}[3][]{\mathrm{N}\ifthenelse{\equal{#1}{}}{}{_{#1}}\wrap[()]{#2,\ #3}} -\newcommand*{\Par}[1]{\mathrm{Pareto}\wrap[()]{#1}} -\let\Pareto=\Par -\newcommand*{\Tsq}[1]{\mathrm{T^2}\wrap[()]{#1}} -\newcommand*{\U}[1]{\mathrm{U}\wrap[()]{#1}} -\newcommand*{\W}[1]{\mathrm{Wishart}\wrap[()]{#1}} - -\let\STATEXt=\t -\renewcommand*{\t}[1]{\relax\ifmmode\expandafter\mathrm{t}\wrap[()]{#1}% -\else\expandafter\STATEXt{#1}\fi} -%probability density functions -\newcommand*{\pBet}[3][x]{\IBeta{#2}{#3}% -#1^{#2-1}\wrap[()]{1-#1}^{#3-1}\I[#1]{0,\ 1}, \where #2>0 \and #3>0} -\newcommand*{\pCau}[3][x]{\ifthenelse{\equal{#2, #3}{0, 1}}{\frac{1}{\cpi\wrap[()]{1+#1}^2}}% -{\frac{1}{#3\cpi\left\{1+\wrap{\wrap[()]{x-#2}/#3}^2\right\}}, \where #3>0}} -\newcommand*{\pChi}[2][x]{\frac{2^{-#2/2}}{\Gamma[#2/2]}#1^{#2/2-1}\e{-#1/2}% -\I[#1]{0,\infty}, \where #2>0} -\newcommand*{\pExp}[2][x]{\frac{1}{#2}\e{-#1/#2}\I[#1]{0,\infty},% -\where #2>0} -\newcommand*{\pGam}[3][x]{\frac{#3^{#2}}{\Gamma[#2]}#1^{#2-1}\e{-#3#1}% -\I[#1]{0,\infty}, \where #2>0 \and #3>0} -\newcommand*{\pN}[3][x]{\ifthenelse{\equal{#2, #3}{0, 1}}% -{\frac{1}{\sqrt{2\cpi}}\e{-#1^2/2}}% -{\frac{1}{\sqrt{2\cpi#3}}\e{-\wrap[()]{#1-#2}^2/2#3}}} -\newcommand*{\pPar}[3][x]{\frac{#3}{#2\wrap[()]{1+#1/#2}^{#3+1}}\I[#1]{0,\infty},% -\where #2>0 \and #3>0} -\newcommand*{\pU}[3][x]{\ifthenelse{\equal{#2, #3}{0, 1}}{\I[#1]{0,\ 1}}% -{\frac{1}{#3-#2}\I[#1]{#2,\ #3}, \where #2<#3}} - -%re-define other accents -\let\STATEXequal=\= -\renewcommand*{\=}{\relax\ifmmode\expandafter\bar\else\expandafter\STATEXequal\fi} -\let\STATEXhat=\^ -\renewcommand*{\^}{\relax\ifmmode\expandafter\widehat\else\expandafter\STATEXhat\fi} -\let\STATEXtilde=\~ -\renewcommand*{\~}{\relax\ifmmode\expandafter\widetilde\else\expandafter\STATEXtilde\fi} -\let\STATEXsinglequote=\' -\renewcommand*{\'}[1]{\relax\ifmmode\expandafter{\wrap[()]{#1}}\else\expandafter\STATEXsinglequote{#1}\fi} -\let\STATEXb=\b -\renewcommand*{\b}{\relax\ifmmode\expandafter\bar\else\expandafter\STATEXb\fi} -\let\STATEXc=\c -\renewcommand*{\c}[1]{\relax\ifmmode\expandafter\mathrm{#1}\else\expandafter\STATEXc{#1}\fi} -\let\STATEXd=\d -\renewcommand*{\d}[1]{\relax\ifmmode\expandafter\,\mathrm{d}#1\else\expandafter\STATEXd{#1}\fi} -\let\STATEXdot=\. -\renewcommand*{\.}{\relax\ifmmode\expandafter\dots\else\expandafter\STATEXdot\fi} - -%commands to create documentation for TI-83 calculators -\newcommand*{\Alpha}[1][]{{\fcolorbox{black}{ForestGreen}{\color{white}\textsf{ALPHA}}}\textbf{\color{ForestGreen}\textsf{#1}}} -\newcommand*{\Alock}{\Snd[A-LOCK]} -\newcommand*{\Blackbox}{\relax\ifmmode\expandafter\blacksquare\else\expandafter$\blacksquare$\fi} -\newcommand*{\Distr}{\Snd[DISTR]} -\newcommand*{\Down}{\framebox{\footnotesize$^\Downarrow$}} -\newcommand*{\EE}{\Snd[EE]} -\newcommand*{\Enter}{\framebox{\textsf{ENTER}}} -\newcommand*{\Graph}{\framebox{\textsf{GRAPH}}} -\newcommand*{\List}[1]{\textbf{\color{Dandelion}\textsf{$\text{L}_#1$}}} -\newcommand*{\Left}{\framebox{$^\Leftarrow$}} -\newcommand*{\Math}{\framebox{\textsf{MATH}}} -\newcommand*{\Matrx}{\Snd[MATRX]} -\newcommand*{\Prgm}{\framebox{\textsf{PRGM}}} -\newcommand*{\Quit}{\Snd[QUIT]} -\newcommand*{\Rect}{\rule{4pt}{6pt}} -\newcommand*{\Right}{\framebox{$^\Rightarrow$}} -\newcommand*{\Snd}[1][]{{\fcolorbox{black}{Dandelion}{\color{white}\textsf{2nd}}}\textbf{\color{Dandelion}\textsf{#1}}} -\newcommand*{\Solve}{\Alpha[SOLVE]} -\newcommand*{\Stat}{\framebox{\textsf{STAT}}} -\newcommand*{\Statplot}{\Snd[STAT PLOT]} -\newcommand*{\Sto}{\framebox{\textsf{STO}$\Rightarrow$}} -\newcommand*{\Signm}{\framebox{\textsf{(-)}}} -\newcommand*{\Up}{\framebox{\footnotesize$^\Uparrow$}} -\newcommand*{\Window}{\framebox{\textsf{WINDOW}}} - -\let\STATEXBox=\Box -\renewcommand*{\Box}{\relax\ifmmode\expandafter\STATEXBox\else\expandafter$\STATEXBox$\fi} - -\let\STATEXto=\to -\renewcommand*{\to}{\relax\ifmmode\expandafter\STATEXto\else\expandafter$\STATEXto$\fi} - -\endinput - -\documentclass[dvipsnames,usenames]{report} -\usepackage{statex} -\usepackage{shortvrb} -\MakeShortVerb{@} -% Examples -\begin{document} -Many accents have been re-defined - -@ c \c{c} \pi \cpi@ $$ c \c{c} \pi \cpi$$ %upright constants like the speed of light and 3.14159... - -@int \e{\im x} \d{x}@ $$\int \e{\im x} \d{x}$$ %\d{x}; also note new commands \e and \im - -@\^{\beta_1}=b_1@ $$\^{\beta_1}=b_1$$ - -@\=x=\frac{1}{n}\sum x_i@ $$\=x=\frac{1}{n}\sum x_i$$ %also, \b{x}, but see \ol{x} below - -@\b{x} = \frac{1}{n} \wrap[()]{x_1 +\.+ x_n}@ $$\b{x} = \frac{1}{n} \wrap[()]{x_1 +\.+ x_n}$$ - -Sometimes overline is better: @\b{x}\ vs.\ \ol{x}@ $$\b{x}\ vs.\ \ol{x}$$ - -And, underlines are nice too: @\ul{x}@ $$\ul{x}$$ - -A few other nice-to-haves: - -@\Gamma[n+1]=n!@ $$\Gamma[n+1]=n!$$ - -@\binom{n}{x}@ $$\binom{n}{x}$$ %provided by amsmath package - -@\e{x}@ $$\e{x}$$ - -%$\H_0: \mu_\ij=0$ vs. $\H_1: \mu_\ij \neq 0$ %\ijk too - -@\logit \wrap{p} = \log \wrap{\frac{p}{1-p}}@ $$\logit \wrap{p} = \log \wrap{\frac{p}{1-p}}$$ -\pagebreak -Common distributions along with other features follows: - -Normal Distribution - -@Z ~ \N{0}{1}, \where \E{Z}=0 \and \V{Z}=1@ $$Z ~ \N{0}{1}, \where \E{Z}=0 \and \V{Z}=1$$ - -@\P{|Z|>z_\ha}=\alpha@ $$\P{|Z|>z_\ha}=\alpha$$ - -@\pN[z]{0}{1}@ $$\pN[z]{0}{1}$$ - -or, in general - -@\pN[z]{\mu}{\sd^2}@ $$\pN[z]{\mu}{\sd^2}$$ - -Sometimes, we subscript the following operations: - -@\E[z]{Z}=0, \V[z]{Z}=1, \and \P[z]{|Z|>z_\ha}=\alpha@ $$\E[z]{Z}=0, \V[z]{Z}=1, \and \P[z]{|Z|>z_\ha}=\alpha$$ - -Multivariate Normal Distribution - -@\bm{X} ~ \N[p]{\bm{\mu}}{\sfsl{\Sigma}}@ $$\bm{X} ~ \N[p]{\bm{\mu}}{\sfsl{\Sigma}}$$ %\bm provided by the bm package - -Chi-square Distribution - -@Z_i \iid \N{0}{1}, \where i=1 ,\., n@ $$Z_i \iid \N{0}{1}, \where i=1 ,\., n$$ - -@\chisq = \sum_i Z_i^2 ~ \Chi{n}@ $$\chisq = \sum_i Z_i^2 ~ \Chi{n}$$ - -@\pChi[z]{n}@ $$\pChi[z]{n}$$ - -t Distribution - -@\frac{\N{0}{1}}{\sqrt{\frac{\Chisq{n}}{n}}} ~ \t{n}@ $$\frac{\N{0}{1}}{\sqrt{\frac{\Chisq{n}}{n}}} ~ \t{n}$$ -\pagebreak -F Distribution - -@X_i, Y_{\~i} \iid \N{0}{1} \where i=1 ,\., n; \~i=1 ,\., m \and \V{X_i, Y_{\~i}}=\sd_\xy=0@ $$X_i, Y_{\~i} \iid \N{0}{1} \where i=1 ,\., n; \~i=1 ,\., m \and \V{X_i, Y_{\~i}}=\sd_\xy=0$$%\XY too - -@\chisq_x = \sum_i X_i^2 ~ \Chi{n}@ $$\chisq_x = \sum_i X_i^2 ~ \Chi{n}$$ - -@\chisq_y = \sum_{\~i} Y_{\~i}^2 ~ \Chi{m}@ $$\chisq_y = \sum_{\~i} Y_{\~i}^2 ~ \Chi{m}$$ - -@\frac{\chisq_x}{\chisq_y} ~ \F{n, m}@ $$\frac{\chisq_x}{\chisq_y} ~ \F{n, m}$$ - -Beta Distribution - -@B=\frac{\frac{n}{m}F}{1+\frac{n}{m}F} ~ \Bet{\frac{n}{2}, \frac{m}{2}}@ $$B=\frac{\frac{n}{m}F}{1+\frac{n}{m}F} ~ \Bet{\frac{n}{2}, \frac{m}{2}}$$ - -@\pBet{\alpha}{\beta}@ $$\pBet{\alpha}{\beta}$$ - -Gamma Distribution - -@G ~ \Gam{\alpha, \beta}@ $$G ~ \Gam{\alpha, \beta}$$ - -@\pGam{\alpha}{\beta}@ $$\pGam{\alpha}{\beta}$$ - -Cauchy Distribution - -@C ~ \Cau{\theta, \nu}@ $$C ~ \Cau{\theta, \nu}$$ - -@\pCau{\theta}{\nu}@ $$\pCau{\theta}{\nu}$$ - -Uniform Distribution - -@X ~ \U{0, 1}@ $$X ~ \U{0, 1}$$ - -@\pU{0}{1}@ $$\pU{0}{1}$$ - -or, in general - -@\pU{a}{b}@ $$\pU{a}{b}$$ - -Exponential Distribution - -@X ~ \Exp{\lambda}@ $$X ~ \Exp{\lambda}$$ - -@\pExp{\lambda}@ $$\pExp{\lambda}$$ - -Hotelling's $T^2$ Distribution - -@X ~ \Tsq{\nu_1, \nu_2}@ $$X ~ \Tsq{\nu_1, \nu_2}$$ - -Inverse Chi-square Distribution - -@X ~ \IC{\nu}@ $$X ~ \IC{\nu}$$ - -Inverse Gamma Distribution - -@X ~ \IG{\alpha, \beta}@ $$X ~ \IG{\alpha, \beta}$$ - -Pareto Distribution - -@X ~ \Par{\alpha, \beta}@ $$X ~ \Par{\alpha, \beta}$$ - -@\pPar{\alpha}{\beta}@ $$\pPar{\alpha}{\beta}$$ - -Wishart Distribution - -@\sfsl{X} ~ \W{\nu, \sfsl{S}}@ $$\sfsl{X} ~ \W{\nu, \sfsl{S}}$$ - -Inverse Wishart Distribution - -@\sfsl{X} ~ \IW{\nu, \sfsl{S^{-1}}}@ $$\sfsl{X} ~ \IW{\nu, \sfsl{S^{-1}}}$$ - -Binomial Distribution - -@X ~ \Bin{n, p}@ $$X ~ \Bin{n, p}$$ - -@\pBin{n}{p}@ $$\pBin{n}{p}$$ - -Bernoulli Distribution - -@X ~ \B{p}@ $$X ~ \B{p}$$ - -Beta-Binomial Distribution - -@X ~ \BB{p}@ $$X ~ \BB{p}$$ - -@\pBB{n}{\alpha}{\beta}@ $$\pBB{n}{\alpha}{\beta}$$ - -Negative-Binomial Distribution - -@X ~ \NB{n, p}@ $$X ~ \NB{n, p}$$ - -Hypergeometric Distribution - -@X ~ \HG{n, M, N}@ $$X ~ \HG{n, M, N}$$ - -Poisson Distribution - -@X ~ \Poi{\mu}@ $$X ~ \Poi{\mu}$$ - -@\pPoi{\mu}@ $$\pPoi{\mu}$$ - -Dirichlet Distribution - -@\bm{X} ~ \Dir{\alpha_1 \. \alpha_k}@ $$\bm{X} ~ \Dir{\alpha_1 \. \alpha_k}$$ - -Multinomial Distribution - -@\bm{X} ~ \M{n, \alpha_1 \. \alpha_k}@ $$\bm{X} ~ \M{n, \alpha_1 \. \alpha_k}$$ - -\pagebreak - -To compute critical values for the Normal distribution, create the -NCRIT program for your TI-83 (or equivalent) calculator. At each step, the -calculator display is shown, followed by what you should do (\Rect\ is the -cursor):\\ -\Rect\\ -\Prgm\to@NEW@\to@1:Create New@\\ -@Name=@\Rect\\ -NCRIT\Enter\\ -@:@\Rect\\ -\Prgm\to@I/O@\to@2:Prompt@\\ -@:Prompt@ \Rect\\ -\Alpha[A],\Alpha[T]\Enter\\ -@:@\Rect\\ -\Distr\to@DISTR@\to@3:invNorm(@\\ -@:invNorm(@\Rect\\ -1-(\Alpha[A]$\div$\Alpha[T]))\Sto\Alpha[C]\Enter\\ -@:@\Rect\\ -\Prgm\to@I/O@\to@3:Disp@\\ -@:Disp@ \Rect\\ -\Alpha[C]\Enter\\ -@:@\Rect\\ -\Quit\\ - -Suppose @A@ is $\alpha$ and @T@ is the number of tails. To run the program:\\ -\Rect\\ -\Prgm\to@EXEC@\to@NCRIT@\\ -@prgmNCRIT@\Rect\\ -\Enter\\ -@A=?@\Rect\\ -0.05\Enter\\ -@T=?@\Rect\\ -2\Enter\\ -@1.959963986@ -\end{document} |