Using statistical theory, statisticians compress the information-matrix using real-valued summary statistics; being real-valued functions, these " information criteria " can be maximized.
22.
Specifying an appropriate model and specifying a suitable criterion function both require understanding of statistical theory and practical knowledge with designing experiments.
23.
They chose to study aftershocks because there are thousands of them, and their statistical theory needs lots of data to work properly.
24.
Consideration of a particular family of distributions as a group family can, in statistical theory, lead to the identification of an ancillary statistic.
25.
In statistical theory, one long-established approach to higher-order statistics, for univariate and multivariate distributions is through the use of cumulants and joint cumulants.
26.
The collection of scale-invariant statistical theories define the universality classes, and the finite-dimensional list of coefficients of relevant operators parametrize the near-critical behavior.
27.
Statistical theory studies optimization, the mathematical theory of statistics shares concerns with other decision sciences, such as operations research, control theory, and mathematical economics.
28.
Second, statistical theory has often been taught as a mathematical theory rather than as the practical survey methodology, exploratory data analysis, and statistical inference.
29.
The research of Anders and Per Martin-L�f has influenced statistical theory, especially concerning exponential families, the expectation-maximization method for missing data, and model selection.
30.
Acting alone or working with his students, he has continuously developed new statistical theories of molecular evolution taking into account frontier knowledge of molecular biology.
