Kevin D. Reilly
Yong Hui Chen
Juanqin Wang
Monte Carlo and Statistics:
Fuzzifications, Biological Applications and Agents
Proc. 2003 Huntsville Simulation Conf., 48-53.
Abstract
Previous reports on "Monte Carlo in Statistics"
studies (ours and others') present tutorial and
research fronts. Assuming early (book length)
references represent culminations of work
preceding their published dates by (a few) years,
we can relate the efforts back to the beginnings of
the computing era. The tutorial work includes
treatment of statistical theory at least at an
elementary level and it and the work reported in
this paper serve to set the stage for higher-level
probes, e.g., into more advanced and specialized
topics such as the general linear model and
(aspects of) multivariate statistics. Selected
techniques among these latter topics are useful in
providing service to simulators and putatively set
the stage for collaborative computing, say, within
an agent or grid purview. Our comments on these
matters are based on some of our recent activities.
Integrating statistical theory and practical
computation in one scheme puts the entire
statistical enterprise into a computation
framework from which advanced thinking can be
put to the test, e.g., whether a given test is
adequate to its assignment or whether one
approach is to be preferred over another. We
briefly address some of these topics too.
Key Words
Monte Carlo techniques, agent systems, bio-computation,
computer system simulations