This article is intended as a broad overview of optimization. While often considered as a subset of operations research, optimization is a central concept for statistical theory, e.g., maximum likelihood, least squares, minimum entropy, minimum loss and risk, and so on. As data set sizes become larger, the computational framework of optimization becomes more important. In this article we cover mathematical programming, linear programming, dynamic programming, calculus of variations, and metaheuristic methods.
In this article, we discuss color theory and design with emphasis on use in statistical, scientific, and data visualization. Color theory is inextricably linked to the physiology of the human visual system, and color design is similarly inextricably linked to human perception. We discuss color perception in the human visual system. We then quantify color perception in terms of the Munsell System and the International Commission on Illumination (CIE) color space. We continue to discuss color design with a perspective on individuals with defective color perception and finally conclude with a discussion of design of color usage in presentations.
Modern business is rushing toward e-commerce. If the transition is done
properly, it enables better management, new services, lower transaction costs
and better customer relations. Success depends on skilled information
technologists, among whom are statisticians. This paper focuses on some of the
contributions that statisticians are making to help change the business world,
especially through the development and application of data mining methods. This
is a very large area, and the topics we cover are chosen to avoid overlap with
other papers in this special issue, as well as to respect the limitations of
our expertise. Inevitably, electronic commerce has raised and is raising fresh
research problems in a very wide range of statistical areas, and we try to
emphasize those challenges.Comment: Published at http://dx.doi.org/10.1214/088342306000000204 in the
Statistical Science (http://www.imstat.org/sts/) by the Institute of
Mathematical Statistics (http://www.imstat.org
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