\documentclass{article} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \usepackage{graphicx} \usepackage{amsmath} %TCIDATA{OutputFilter=LATEX.DLL} %TCIDATA{Created=Wed Apr 03 11:22:55 2002} %TCIDATA{LastRevised=Wed Jul 31 23:48:02 2002} %TCIDATA{} %TCIDATA{} %TCIDATA{CSTFile=LaTeX article (bright).cst} \newtheorem{theorem}{Theorem} \newtheorem{acknowledgement}[theorem]{Acknowledgement} \newtheorem{algorithm}[theorem]{Algorithm} \newtheorem{axiom}[theorem]{Axiom} \newtheorem{case}[theorem]{Case} \newtheorem{claim}[theorem]{Claim} \newtheorem{conclusion}[theorem]{Conclusion} \newtheorem{condition}[theorem]{Condition} \newtheorem{conjecture}[theorem]{Conjecture} \newtheorem{corollary}[theorem]{Corollary} \newtheorem{criterion}[theorem]{Criterion} \newtheorem{definition}[theorem]{Definition} \newtheorem{example}[theorem]{Example} \newtheorem{exercise}[theorem]{Exercise} \newtheorem{lemma}[theorem]{Lemma} \newtheorem{notation}[theorem]{Notation} \newtheorem{problem}[theorem]{Problem} \newtheorem{proposition}[theorem]{Proposition} \newtheorem{remark}[theorem]{Remark} \newtheorem{solution}[theorem]{Solution} \newtheorem{summary}[theorem]{Summary} \newenvironment{proof}[1][Proof]{\textbf{#1.} }{\ \rule{0.5em}{0.5em}} \input{tcilatex} \begin{document} $\qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \ \ \ \ \frac{\rule{1.5in}{0.05in}}{{}}$ \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad Electronic Journal of \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad Mathematical \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad and Physical Sciences \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad {\LARGE EJMAPS} \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad\ \ \ ISSN: 1538-3318 \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \ \ \ www.ejmaps.org \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad $\qquad \qquad \ \ \ \ \frac{{}}{\rule{1.5in}{0.05in}}$ \bigskip %%% header and footer definitions \makeatletter \def\@evenhead{ \vbox{\hbox to\hsize{\bf \thepage \hfill \sl \evenmark} % \vspace{2pt} \hbox to \hsize{\hrulefill} } } \def\@oddhead{ \vbox{ \hbox to\hsize{\oddmarkA \oddmarkB \hfill \oddmarkC} \hbox to\hsize{\hfill \oddmarkD} \vspace{.03in} \hbox to\hsize{\hfill \oddmarkE} \vspace{.03in} \hbox to\hsize{\hfill \oddmarkF} } } \def\@evenfoot{\vbox{\hbox to\hsize{\hrulefill} \vspace{-40pt} \hbox to \hsize{\today \sl \footmsg \hfill} } } \def\@oddfoot{ \vspace{-40pt} \hbox to \hsize{ \footmsgA \hfill } } \makeatother %%% the first page's number \setcounter{page}{00} %%% the range of pages \def\thepagerange{ ,00--00 } %%% the header and footnote defs \def\evenmark{\textit Electron. \textit J. \textit Math. \textit Phys. \textit Sci.} \def\oddmarkA{{\textit Electron. \textit J. \textit Math. \textit Phys. \textit Sci.} {\bf 2002} {\textit , \textit 1} {\textit , \textit 1}} \def\oddmarkB{\thepagerange} \def\footmsgA{{\copyright 2002 by EJMAPS. Reproduction for noncommercial purposes permitted.}} \noindent \textbf{TIME VARIABLE BAYESIAN SAMPLE TEST PLAN: A MATHEMATICAL MODEL FOR A REAL TIME FAULT TOLERANT COMPUTER SIMULATION PLATFORM\bigskip } \noindent Abraham F. Jalbout$^{1,2}$ \bigskip \noindent 1 Department of Chemistry,University of New Orleans, New Orleans, LA 70148-2820 \noindent 2 Department of Physics and Engineering, Dillard University, 2601 Gentilly Blvd., New Orleans, LA 70112 \vspace{0.1in} \vspace{2pt} \hbox to \hsize{\hrulefill} \vspace{.1in} \begin{inmargins} \noindent {\bf Abstract:} This paper is focused on thedevelopment of a Bayesian sample test plan for an industrial setting. Insoftware engineering the testing of real time (RT) or near real time (NRT)fault tolerant software can be applied to almost any practical situation. The developmentof such platform can lead to a ground braking industrial shift in currentmethodology. The reason, being that the Bayesian class of methods provide forquicker and more convergent methods of statistical analysis. A completemathematical model for a new computational platform based on a rigorousmathematical model is presented. \\ \noindent {\bf Keywords:} Bayesian,fraction defective, computer platform, real time default system \end{inmargins} \vspace{2pt} \hbox to \hsize{\hrulefill} \end{document} .