# Computational Statistics Domain

A Computational Statistics Domain is a computational mathematics domain that overlaps with a statistics domain.

## References

### 2002

• http://www.scs.gmu.edu/~jgentle/compstat/
• Computational Statistics is the area of specialization within statistics that includes statistical visualization and other computationally-intensive methods of statistics. Computational statistics is built on the mathematical theory and methods of statistics, and includes visualization, statistical computing, and Monte Carlo methods. The emphasis in computational statistics is often on exploratory methods.

Research in computational statistics involves the development of visualization and computationally-intensive methods for mining large, nonhomogeneous, multi-dimensional datasets so as to discover knowledge in the data. As in all areas of statistics, probability models are important, and results are qualified by statements of confidence or of probability. An important activity in computational statistics is model building and evaluation.

Examples of research areas in computational statistics:

• Techniques for discovering structure in data. These are usually exploratory or visual, and may involve such things as density estimation, clustering, or classification. In most cases, the emphasis would be on large-dimensional datasets.
• Statistical learning.
• Methods of analysis of extremely large datasets (large number of observations or large number of dimensions).
• Computationally-intensive methods of analysis (Monte Carlo methods or resampling methods).
• Simulation methods.
• Methods for statistical modeling. These may be classical statistical models, models based on differential equations, especially SDEs, or Bayesian hierarchical models.
• Numerical methods for statistical analysis (statistical computing).
• Methods for statistical problems that have a major "computer science" aspect (record matching, for example).

### 1996

• (Lauro, 1996) ⇒ Carlo Lauro. (1996). “Computational Statistics or Statistical Computing, is that the question?" In: Computational Statistics & Data Analysis, 23(1).
• ABSTRACT. Computational statistics, supported by computing power and availability of efficient methodology, techniques and algorithms on the statistical side and by the perception on the need of valid data analysis and data interpretation on the biomedical side, has invaded in a very short time many cutting edge research areas of molecular biomedicine. Two salient cutting edge biomedical research questions demonstrate the increasing role and decisive impact of computational statistics. The role of well designed and well communicated simulation studies is emphasized and computational statistics is put into the framework of the International Association of Statistical Computing (IASC) and special issues on Computational Statistics within Clinical Research launched by the journal Computational Statistics and Data Analysis (CSDA).