Mathematical Statistics Discipline

References

(Wikipedia, 2009) ⇒ http://en.wikipedia.org/wiki/Mathematical_statistics
- Mathematical statistics is the study of Statistics from a mathematical standpoint, using Probability Theory as well as other branches of Mathematics such as Linear Algebra and analysis. The term "mathematical statistics" is closely related to “Statistical Theory” but also embraces modelling for Actuarial Science and non-statistical Probability Theory.
- Statistics deals with gaining information from data. In practice, Data often contain some Randomness or Uncertainty. Statistics handles such data using methods of probability theory.
- Statistics is divided into:
  - Descriptive Statistics - the part of statistics that describes data, i.e. summarises the data and their typical properties
  - Inferential Statistics - the part of statistics that draws conclusions from data, i.e. checks whether the data fulfill some condition and gives guarantees on the involved uncertainty.
http://www.springerlink.com/content/h7053855r4601112/
http://www.nordstat2010.org/index.php
- 23rd Nordic Conference on Mathematical Statistics (NORDSTAT)

Joe Romano. (2005). http://www-stat.stanford.edu/brochure/part4.html#romano
- Statistics is concerned with making sense or inferences about the world based on limited information and uncertainties. In contrast, mathematics is exact. The goal is to prove theorems based on a well-defined set of assumptions. It is the juxtaposition of statistics and mathematics that I find intriguing and challenging. Mathematical statistics serves to precisely quantify and explain what can be learned through "experimentation," in spite of having to acknowledge our uncertainty in the process.