%LaTex Template for REC2008 Abstract
\documentclass[12pt]{article}
\pagestyle{empty}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Do not modify the dimensions of the page
\setlength{\topmargin}{0.2in} \setlength{\headheight}{0in}
\setlength{\headsep}{0in} \setlength{\textheight}{8.8in}
\setlength{\oddsidemargin}{0.3in} \setlength{\textwidth}{6.0in}
% Do not modify the dimensions of the page
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% No paragraph indent or paragraph skip
\parindent=0pt \parskip=0pt
\begin{document}
\centerline{\bf \large Towards Integration of} \centerline{\bf
\large Probabilistic and Interval Errors} \centerline{\bf \large in
Engineering Caculations}
\vspace{12pt}
\centerline{{\bf S. A. Starks},
{\bf V. Kreinovich},
{\bf L. Longpr\'e},
{\bf M. Ceberio},}
\centerline{{\bf R. Araiza},
{\bf J. Beck},
{\bf R. Kandathi},
{\bf A. Nayak},
{\bf R. Torres},
and {\bf G. Xiang}}
\vspace{12pt}
\centerline{NASA Pan-American Center for Earth and Environmental
Studies (PACES)}
\centerline{University of Texas}
\centerline{Texas,El Paso, TX 79968}
\centerline {email: vladik@cs.utep.edu}
\vspace{12pt} \vspace{12pt}
\textbf{Abstract}
\vspace{12pt}
In many engineering
applications, we have to combine probabilistic and interval errors.
For example, in environmental analysis, we observe a pollution level
$x(t)$ in a lake at different
moments of time $t$, and we would like to estimate
standard statistical characteristics such as mean,
variance, autocorrelation, correlation with other measurements.
\vspace{12pt}
In environmental measurements, we often know
.............................
\vspace{12pt}
We must modify the existing ............................
\vspace{12pt}
Other applications:
$\bullet$ In non-destructive testing, we look
............................
\vspace{12pt}
\parindent=0pt
{\bf References}
[1]
Kreinovich, V. ``Probabilities, Intervals, What Next?
Optimization Problems Related to Extension of
Interval Computations to Situations with
Partial Information about Probabilities",
{\it J. Global Optim.} (to appear).
[2]
Kreinovich, V., and Longpr\'e, L.:
``Computational complexity and feasibility of
data processing and interval computations,
with extension to cases when we have
partial information about probabilities'',
In: Brattka, V., Schr\"oder, M., Weihrauch, K.,
and Zhong, N. {\it Proc. Conf. on Computability
and Complexity in Analysis CCA'2003}, Cincinnati, Ohio, USA,
August 28--30, 2003, pp. 19--54.
\end{document}